RECYCLE CONTENT POLY(VINYL ACETAL) FIELD OF THE INVENTION [0001] The invention relates to recycle content in poly(vinyl acetals), and in particular to recycle content in poly(vinyl acetals) such as poly(vinyl butyral) where such recycle content was obtained directly or indirectly from cracking recycle content pyoil. BACKGROUND OF THE INVENTION [0002] Waste materials, especially non-biodegradable waste materials, can negatively impact the environment when disposed of in landfills after a single use. Thus, from an environmental standpoint, it is desirable to recycle as much waste material as possible. However, recycling waste materials can be challenging from an economic standpoint. [0003] While some waste materials are relatively easy and inexpensive to recycle, other waste materials require significant and expensive processing in order to be reused. Further, different types of waste materials often require different types of recycling processes. [0004] To maximize recycling efficiency, it would be desirable for large-scale production facilities to be able to process feedstocks having recycle content originating from a variety of waste materials. Commercial facilities involved in the production of non-biodegradable products or products that find their ultimate destination in a landfill could benefit greatly from using recycle content feedstocks. [0005] Some recycling efforts involve complicated and detailed segregation of waste streams, which contributes to the increased cost of obtaining streams of recycle waste content. For example, conventional methanolysis technologies require a high purity stream of PET. Some downstream products are also quite sensitive to the presence of dyes and inks on waste products, and their pretreatment and removal also contributes to increased costs of feedstocks made from such wastes. It would be desirable to establish a recycle content without the necessity for sorting down to a single type of plastic or waste material, or which can tolerate a variety of impurities in waste streams that flow through to a feedstock. [0006] In some cases, it may be difficult to dedicate a product having a recycle content to a particular customer or downstream synthetic process for making a derivate of the product, particularly if the recycle content product is a gas or difficult to isolate. As related to a gas, there is a lack of infrastructure to segregate and distribute a dedicated portion of a gas made exclusively form a recycle content feedstock since the gas infrastructure is continuously fluid and often commingles gas streams from a variety of sources. [0007] Further, it is recognized that some regions desire to move away from sole dependence on natural gas, ethane, or propane as the sole source for making raw materials products such as ethylene and propylene and their downstream derivatives, and alternative or supplemental feedstocks to crackers would be desirable. [0008] It is also desirable to synthesize chemical compounds and polymers using existing equipment and processes and without the need to invest in additional and expensive equipment in order to establish a recycle content in the manufacture of the chemical compound or polymer. [0009] It is also desirable to continue sourcing a raw material for making poly(vinyl acetals) from aldehydes made from olefins obtained from cracker facilities that may find themselves stranded as production from a natural gas field or petroleum becomes economically unattractive. [0010] Further, it is desirable for a poly(vinyl acetals) to not be solely dependent on obtaining credits to establish a recycle content in poly(vinyl acetals) and thereby provide the poly(vinyl acetals) manufacturer with a variety of choices to establish recycle content. [0011] It would also be desirable for a poly(vinyl acetals) manufacturer to be able to determine the amount and timing of establishing recycle content. The poly(vinyl acetals) manufacturer may, at certain times or for different batches, may desire to establish more or less recycle content or no recycle content. The flexibility in this approach without the need to add significant assets is desirable. SUMMARY OF THE INVENTION [0012] There is now provided a method of obtaining a recycle content poly(vinyl acetal), recycle content aldehydes useful to make poly(vinyl acetal), and articles made from or with or containing recycle content poly(vinyl acetal), uses thereof, compositions thereof, and systems thereof, each as further described in the claims and detailed description. BRIEF DESCRIPTION OF THE DRAWINGS [0013] Figure 1 is an illustrate of a process for employing a recycle content pyrolysis oil composition (r-pyoil) to make one or more recycle content compositions into r-compositions. [0014] Figure 2 is an illustration of an exemplary pyrolysis system to at least partially convert one or more recycled waste, particularly recycled plastic waste, into various useful r-products. [0015] Figure 3 is a schematic depiction of pyrolysis treatment through production of olefin containing products. [0016] Figure 4 is a block flow diagram illustrating steps associated with the cracking furnace and separation zones of a system for producing an r-composition obtained from cracking r-pyoil and non-recycle cracker feed. [0017] Figure 5 is a schematic diagram of a cracker furnace suitable for receiving r-pyoil. [0018] Figure 6 illustrates a furnace coil configuration having multiple tubes. [0019] Figure 7 illustrates a variety of feed locations for r-pyoil into a cracker furnace. [0020] Figure 8 illustrates a cracker furnace having a vapor-liquid separator. [0021] Figure 9 is a block diagram illustrating the treatment of a recycle content furnace effluent. [0022] Figure 10 illustrates a fractionation scheme in a Separation section, including a demethanizer, dethanizer, depropanizer, and the fractionation columns to separate and isolate the main r-compositions, including r-propylene, r-ethylene, r- butylene, and others. [0023] Figure 11 illustrates the laboratory scale cracking unit design. [0024] Figure 12 illustrates design features of a plant-based trial feeding r-pyoil to a gas fed cracker furnace. [0025] Figure 13 is a graph of the boiling point curve of a r-pyoil having 74.86% C8+, 28.17% C15+, 5.91% aromatics, 59.72% paraffins, and 13.73% unidentified components by gas chromatography analysis. [0026] Figure 14 is a graph of the boiling point curve of a r-pyoil obtained by gas chromatography analysis. [0027] Figure 15 is a graph of the boiling point curve of a r-pyoil obtained by gas chromatography analysis. [0028] Figure 16 is a graph of the boiling point curve of a r-pyoil distilled in a lab and obtained by chromatography analysis. [0029] Figure 17 is a graph of the boiling point curve of r-pyoil distilled in lab with at least 90% boiling by 350°C, 50% boiling between 95°C and 200°C, and at least 10% boiling by 60°C. [0030] Figure 18 is a graph of the boiling point curve of r-pyoil distilled in lab with at least 90% boiling by 150°C, 50% boiling between 80°C and 145°C, and at least 10% boiling by 60°C. [0031] Figure 19 is a graph of the boiling point curve of r-pyoil distilled in lab with at least 90% boiling by 350°C, at least 10% by 150°C, and 50% boiling between 220°C and 280°C. [0032] Figure 20 is a graph of the boiling point curve of r-pyoil distilled in lab with 90% boiling between 250 - 300°C. [0033] Figure 21 is a graph of the boiling point curve of r-pyoil distilled in lab with 50% boiling between 60 - 80°C. [0034] Figure 22 is a graph of the boiling point curve of r-pyoil distilled in lab with 34.7% aromatic content. [0035] Figure 23 is a graph of the boiling point curve of r-pyoil used in the plant trial experiments. [0036] Figure 24 is a graph of the carbon distribution of the r-pyoil used in the plant experiments. [0037] Figure 25 is a graph of the carbon distribution by cumulative weight percent of the r-pyoil used in the plant experiments. DETAILED DESCRIPTION OF THE INVENTION [0038] As used herein, “containing” and “including” are open ended and synonymous with “comprising.” [0039] The term “recycle content” is used herein i) as a noun to refer to a physical component (e.g., compound, molecule, or atom) at least a portion of which is derived directly or indirectly from recycled waste or ii) as an adjective modifying a particular composition (e.g., a compound, polymer, feedstock, product, or stream) at least a portion of which is directly or indirectly derived from recycled waste. [0040] As used herein, “recycle content composition,” “recycle composition,” and “r-composition” mean a composition having recycle content. [0041] The term “pyrolysis recycle content” is used herein i) as a noun to refer to a physical component (e.g., compound, molecule, or atom) at least a portion of which is derived directly or indirectly from the pyrolysis of recycled waste or ii) as an adjective modifying a particular composition (e.g., a feedstock, product, or stream) at least a portion of which is directly or indirectly derived from the pyrolysis of recycled waste. For example, pyrolysis recycle content can be directly or indirectly derived from recycle content pyrolysis oil, recycle content pyrolysis gas, or the cracking of recycle content pyrolysis oil such as through thermal steam crackers or fluidized catalytic crackers. [0042] As used herein, “pyrolysis recycle content composition,” “pyrolysis recycle composition,” and “pr-composition” mean a composition (e.g., a compound, polymer, feedstock, product, or stream) having pyrolysis recycle content. A pr- composition is a subset of a r-composition, where at least a portion of the recycle content of the r-composition is derived directly or indirectly from the pyrolysis of recycled waste. [0043] As used herein, a composition (e.g., compound, polymer, feedstock, product, or stream) “directly derived” or “derived directly” from recycled waste has at least one physical component that is traceable to recycled waste, while a composition (e.g., a compound, polymer, feedstock, product, or stream) “indirectly derived” or “derived indirectly” from recycled waste has associated with it a recycle content allotment and may or may not contain a physical component that is traceable to recycled waste. [0044] As used herein, a composition (e.g., compound, polymer, feedstock, product, or stream) “directly derived” or “derived directly” from the pyrolysis of recycled waste has at least one physical component that is traceable to the pyrolysis of recycled waste, while a composition (e.g., a compound, polymer, feedstock, product, or stream) “indirectly derived” or “derived indirectly” from the pyrolysis of recycled waste has associated with it a recycle content allotment and may or may not contain a physical component that is traceable to the pyrolysis of recycled waste. [0045] As used herein, “pyrolysis oil” or “pyoil” mean a composition of matter that is liquid when measured at 25°C and 1 atm and at least a portion of which is obtained from pyrolysis. [0046] As used herein, “recycle content pyrolysis oil,” “recycle pyoil,” “pyrolysis recycle content pyrolysis oil” and “r-pyoil”” mean pyoil, at least a portion of which is obtained from pyrolysis, and having recycle content. [0047] As used herein, “pyrolysis gas” and “pygas” mean a composition of matter that is gas when measured at 25°C and 1 atm and at least a portion of which is obtained from pyrolysis. [0048] As used herein, “recycle content pyrolysis gas,” “recycle pygas,” “pyrolysis content pyrolysis gas” and “r-pygas” mean pygas, at least a portion of which is obtained from pyrolysis, and having recycle content. [0049] As used herein, “Et” is ethylene composition (e.g., a feedstock, product, or stream) and “Pr” is propylene composition (e.g., a feedstock, product, or stream). [0050] As used herein, “recycle content ethylene,” “r-ethylene” and “r-Et” mean Et having recycle content; and “recycle content propylene,” “r-propylene” and “r-Pr” mean Pr having recycle content. [0051] As used herein, “AD” is an aldehyde resin, product, feedstock, stream, or composition. Optionally, the aldehyde has from 2-10 carbon atoms, or from 2-5 carbon atoms, or from 2-4 carbon atoms, and may be linear or branched, alicyclic or aliphatic, substituted or unsubstituted, saturated or unsaturated, or anhydrides thereof wherein the carbon numbers double, desirably an un-substituted aliphatic linear aldehyde having from 2-5 or 2-4 carbon atoms or anhydride thereof having from 4-10 or 4-8 carbon atoms [0052] As used herein, “recycle content aldehyde” and “r-A” mean AD having recycle content. [0053] As used herein, “pyrolysis recycle content aldehyde” and “pr-A” mean r-A having pyrolysis recycle content. [0054] As used herein, “PVA” is a poly(vinyl acetal) polymer, resin, product, stream, or composition. [0055] As used herein, a “recycle content poly(vinyl acetal)” and “r-PVA” mea PVA having recycle content. [0056] As used herein, a “pyrolysis content poly(vinyl acetal)” and “pr-PVA” mean r-PVA having pyrolysis recycle content. [0057] As used herein, “PVOH” is a PVOH polymer, resin, product, feedstock, stream, or composition. [0058] As used herein, “PVAc” is a poly(vinyl acetate) polymer, resin, product, feedstock, stream, or composition. [0059] As used throughout, the generic description of the compound, composition or stream does not require the presence of its species, but also does not exclude and may include its species. For example, an “PVA” or “any PVA” can include an poly(vinyl acetal) made by any process and may or may not contain recycle content and may or may not be made from non-recycle content feedstocks or from recycle content feedstocks, and may or may not include r-PVA or pr-PVA. Likewise, r-PVA may or may not include pr-PVA, although the mention of r-PVA does require it to have recycle content. In another example, an “AD” or “any AD” can include an aldehyde made by any process and may or may not have recycle content, and may or may not include r-A or pr-A. Likewise, r-A may or may not include pr-A, although the mention of r-A does require it to have recycle content. [0060] “Pyrolysis recycle content” is a specific subset/type (species) of “recycle content” (genus). Wherever “recycle content” and “r-” are used herein, such usage should be construed as expressly disclosing and providing claim support for “pyrolysis recycle content” and “pr-,” even if not expressly so stated. For example, whenever the term “recycle content poly(vinyl acetal)” or “r-PVA” is used herein, it should be construed as also expressly disclosing and providing claim support for “pyrolysis recycle content poly(vinyl acetal)” and “pr-PVA.” [0061] Similarly, whenever the term “olefin,” or “r-olefin,” is used herein, it should be construed as also expressly disclosing and providing claim support for “pyrolysis recycle content olefin,” and “pr-olefin,” as the term “aldehyde,” or “r- aldehyde,” is used herein, it should be construed as also expressly disclosing and providing claim support for “pyrolysis recycle content aldehyde,” and “pr-aldehyde.” [0062] As used throughout, whenever a cracking of r-pyoil is mentioned, such cracking can be conducted by a thermal cracker, or a thermal steam cracker, in a liquids fed furnace, or in a gas fed furnace, or in any cracking process. In one embodiment or in combination with any of the mentioned embodiments, the cracking is not catalytic or is conducted in the absence of an added catalyst or is not a fluidized catalytic cracking process. [0063] As used throughout, whenever mention is made of pyrolysis of recycle waste, or r-pyoil, all embodiments also include (i) the option of cracking the effluent of pyrolyzing recycle waste or cracking r-pyoil and/or (ii) the option of cracking the effluent or r-pyoil as a feed to a gas fed furnace or to the tubes of gas furnace/cracker. [0064] As used throughout, a “Family of Entities” means at least one person or entity that directly or indirectly controls, is controlled by, or is under common control with another person or entity, where control means ownership of at least 50% of the voting shares, or shared management, common use of facilities, equipment, and employees, or family interest. As used throughout, the mention of a person or entity provides claim support for and includes any person or entity among the Family of Entities. [0065] In an embodiment or in combination with any other mentioned embodiments, the mention of r-A also includes pr-A, or pr-A obtained directly or indirectly from the cracking of r-pyoil or obtained from r-pygas; and r-PVA also includes pr-PVA, or pr-PVA obtained directly or indirectly from the cracking of r- pyoil or obtained from r-pygas. [0066] There is provided a method of making r-PVA composition (“r-PVA”) by reacting an AD with a PVA. The AD can be a r-A or pr-A. In one embodiment, the method for making a r-PVA starts with feeding the AD to a reactor for making PVA, and optionally the AD is r-A or a pr-A, and optionally the pr-A is obtained directly or indirectly from r-pygas or from cracking r-pyoil. [0067] Fig. 1 is a schematic depiction illustrating an embodiment or in combination with any embodiment mentioned herein of a process for employing a recycle content pyrolysis oil composition (r-pyoil) to make one or more recycle content compositions (e.g. ethylene, propylene, butadiene, hydrogen, and/or pyrolysis gasoline): the r-composition One or more of the products from the separation zone may then be used to form a variety of end products, including, for example, to make oxo alcohols and/or oxo plasticizers. [0068] As shown in FIG. 1, recycled waste can be subjected to pyrolysis in pyrolysis unit 10 to produce a pyrolysis product/effluent comprising a recycle content pyrolysis oil composition (r-pyoil). The r-pyoil can be fed to a cracker 20, along with a non-recycle cracker feed (e.g., propone, ethane, and/or natural gasoline). A recycle content cracked effluent (r-cracked effluent) can be produced from the cracker and then subjected to separation in a separation train 30. In an embodiment or in combination with any embodiment mentioned herein or in combination with any of the mentioned embodiments, the r-composition can be separated and recovered from the r-cracked effluent. The r-propylene stream can contain predominantly propylene, while the r-ethylene stream can contain predominately ethylene. [0069] As used herein, a furnace includes the convection zone and the radiant zone. A convection zone includes the tubes and/or coils inside the convection box that can also continue outside the convection box downstream of the coil inlet at the entrance to the convection box. For example, as shown in FIG. 5, the convection zone 310 includes the coils and tubes inside the convection box 312 and can optionally extend or be interconnected with piping 314 outside the convection box 312 and returning inside the convection box 312. The radiant zone 320 includes radiant coils/tubes 324 and burners 326. The convection zone 310 and radiant zone 320 can be contained in a single unitary box, or in separate discrete boxes. The convection box 312 does not necessarily have to be a separate discrete box. As shown in FIG. 5, the convection box 312 is integrated with the firebox 322. [0070] Unless otherwise specified, all component amounts provided herein (e.g. for feeds, feedstocks, streams, compositions, and products) are expressed on a dry basis. [0071] As used herein, a “r-pyoil” or “r-pyrolysis oil” are interchangeable and mean a composition of matter that is liquid when measured at 25°C and 1 atm, at least a portion of which is obtained from pyrolysis, and which has recycle content. In one embodiment or in combination with any of the mentioned embodiments, at least a portion of the composition is obtained from the pyrolysis of recycled waste (e.g., waste plastic or waste stream). [0072] In one embodiment or in combination with any of the mentioned embodiments, the “r-ethylene” can be a composition comprising: (a) ethylene obtained from cracking of a cracker feed containing r-pyoil, or (b) ethylene having a recycle content value attributed to at least a portion of the ethylene; and the “r- propylene” can be a composition comprising (a) propylene obtained from cracking of a cracker feed containing r-pyoil, or (b) propylene having a recycle content value attributed to at least a portion of the propylene. [0073] Reference to a “r-ethylene molecule” means ethylene molecule derived directly or indirectly from recycled waste and reference to a “pr-ethylene molecule” means ethylene molecule derived directly or indirectly from r-pyrolysis effluent (e.g., r-pyoil and/or r-pygas). [0074] As used herein, a “Site” means a largest continuous geographical boundary owned by an poly(vinyl acetal) manufacturer, or by one person or entity, or combination of persons or entities, among its Family of Entities, wherein the geographical boundary contains one or more manufacturing facilities at least one of which is an poly(vinyl acetal) manufacturing facility. [0075] As used herein, the term “predominantly” means more than 50 percent by weight, unless expressed in mole percent, in which case it means more than 50 mole%. For example, a predominantly propane stream, composition, feedstock, or product is a stream, composition, feedstock, or product that contains more than 50 weight percent propane, or if expressed as mole%, means a product that contains more than 50 mole% propane. [0076] As used herein, a composition that is “directly derived” from cracking r- pyoil has at least one physical component that is traceable to an r- composition at least a portion of which is obtained by or with the cracking of r-pyoil, while a composition that is “indirectly derived” from cracking r-pyoil has associated with it a recycle content allotment and may or may not contain a physical component that is traceable to an r-composition at least a portion of which is obtained by or with the cracking of r-pyoil. [0077] As used herein, “recycle content value” and “r-value” mean a unit of measure representative of a quantity of material having its origin in recycled waste. The r-value can have its origin in any type of recycled waste processed in any type of process. [0078] As used herein, the term “pyrolysis recycle content value” and “pr-value” mean a unit of measure representative of a quantity of material having its origin in the pyrolysis of recycled waste. The pr-value is a specific subset/type of r-value that is tied to the pyrolysis of recycled waste. Therefore, the term r-value encompasses, but does not require, a pr-value. [0079] The particular recycle content value (r-value or pr-value) can be by mass or percentage or any other unit of measure and can be determined according to a standard system for tracking, allocating, and/or crediting recycle content among various compositions. A recycle content value can be deducted from a recycle content inventory and applied to a product or composition to attribute recycle content to the product or composition. A recycle content value does not have to originate from making or cracking r-pyoil unless so stated. In one embodiment or in combination with any mentioned embodiments, at least a portion of the r-pyoil from which an allotment is obtained is also cracked in a cracking furnace as described throughout the one or more embodiments herein. [0080] As used herein, “recycle content allotment” or “allotment” means a recycle content value that is: transferred from an originating composition (e.g., compound, polymer, feedstock, product, or stream) at least a portion of which is obtained from recycled waste or which has a recycle content value at least a portion of which originates from recycled waste, optionally originating from r-pyoil, to a receiving composition (the composition receiving the allotment, e.g., compound, polymer, feedstock, product, or stream) that may or may not have a physical component that is traceable to a composition at least a portion of which is obtained from recycled waste; or deposited into a recycle inventory from an originating composition (e.g., compound, polymer, feedstock, product, or stream) at least a portion of which is obtained from or having a recycle content value or pr-value at least a portion of which originates from recycled waste. [0081] As used herein, “pyrolysis recycle content allotment” and “pyrolysis allotment” or “pr-allotment” mean a pyrolysis recycle content value that is: (i) transferred from an originating composition (e.g., compound, polymer, feedstock, product, or stream) at least a portion of which is obtained from the pyrolysis of recycled waste or which has a recycle content value at least a portion of which originates from the pyrolysis of recycled waste, to a receiving composition (e.g., compound, polymer, feedstock, product, article or stream) that may or may not have a physical component that is traceable to a composition at least a portion of which is obtained from the pyrolysis of recycled waste; or (ii) deposited into a recycle inventory from an originating composition (e.g., compound, polymer, feedstock, product, or stream) at least a portion of which is obtained from or having a recycle content value at least a portion of which originates from the pyrolysis of recycled waste. [0082] A pyrolysis recycle content allotment is a specific type of recycle content allotment that is tied to the pyrolysis of recycled waste. Therefore, the term recycle content allotment encompasses pyrolysis recycle content allocation. [0083] In one embodiment or in combination with any of the mentioned embodiments, a pyrolysis recycle content allotment or pyrolysis allotment may have a recycle content value that is: transferred from an originating composition (e.g., compound, polymer, feedstock, product, or stream) at least a portion of which is obtained from the cracking (e.g. liquid or gas thermal stream cracking) of r-pyoil, or transferred from recycle waste used to make r-pyoil that is cracked , or transferred from r-pyoil that is or will be cracked, or which has a recycle content value at least a portion of which originates from the cracking (e.g. liquid or gas thermal steam cracking) of r-pyoil, to a receiving composition (e.g., compound, polymer, feedstock, product, or stream) that may or may not have a physical component that is traceable to a composition at least a portion of which is obtained from the cracking of r-pyoil; or deposited into a recycle content inventory and is obtained from a composition (e.g., compound, polymer, feedstock, product, or stream) at least a portion of which is obtained from or having a recycle content value at least a portion of which originates from the cracking (e.g. liquid or gas thermal steam cracking) of r- pyoil (whether or not the r-pyoil is cracked at the time of depositing the allotment into the recycle content inventory provided the r-pyoil from which the allotment is taken is ultimately cracked). [0084] An allotment can be an allocation or a credit. [0085] A recycle content allotment can include a recycle content allocation or a recycle content credit obtained with the transfer or use of a raw material. In one embodiment or in combination with any of the mentioned embodiments, the composition receiving the recycle content allotment can be a non-recycle composition, to thereby convert the non-recycle composition to an r-composition. [0086] As used herein, “non-recycle” means a composition (e.g., compound, polymer, feedstock, product, or stream) none of which was directly or indirectly derived from recycled waste. [0087] As used herein, a “non-recycle feed” in the context of a feed to the cracker or furnace means a feed that is not obtained from a recycled waste stream. Once a non-recycle feed obtains a recycle content allotment (e.g. either through a recycle content credit or recycle content allocation), the non-recycle feed become a recycle content feed, composition, or Recycle PIA. [0088] As used herein, the term “recycle content allocation” is a type of recycle content allotment, where the entity or person supplying a composition sells or transfers the composition to the receiving person or entity, and the person or entity that made the composition has an allotment at least a portion of which can be associated with the composition sold or transferred by the supplying person or entity to the receiving person or entity. The supplying entity or person can be controlled by the same entity or person(s), or Family of Entities, or a different Family of Entities. In one embodiment or in combination with any mentioned embodiments, a recycle content allocation travels with a composition and with the downstream derivates of the composition. In one embodiment or in combination with any mentioned embodiments, an allocation may be deposited into a recycle content inventory and withdrawn from the recycle content inventory as an allocation and applied to a composition to make an r-composition or a Recycle PIA. [0089] As used herein, “recycle content credit” and “credit” mean a type of recycle content allotment, where the allotment is not restricted to an association with compositions made from cracking r-pyoil or their downstream derivatives, but rather have the flexibility of being obtained from r-pyoil and (i) applied to compositions or PIA made from processes other than cracking feedstocks in a furnace, or (ii) applied to downstream derivatives of compositions, through one or more intermediate feedstocks, where such compositions are made from processes other than cracking feedstocks in a furnace, or (iii) available for sale or transfer to persons or entities other than the owner of the allotment, or (iv) available for sale or transfer by other than the supplier of the composition that is transferred to the receiving entity or person. For example, an allotment can be a credit when the allotment is taken from r-pyoil and applied by the owner of the allotment to a BTX composition, or cuts thereof, made by said owner or within its Family of Entities, obtained by refining and fractionation of petroleum rather than obtained by cracker effluent products; or it can be a credit if the owner of the allotment sells the allotment to a third party to allow the third party to either re-sell the product or apply the credit to one or more of a third party’s compositions. [0090] A credit can be available for sale or transfer or use, or can be sold or transferred or used, either: without the sale of a composition, or with the sale or transfer of a composition but the allotment is not associated with the sale or transfer of the composition, or is deposited into or withdrawn from a recycle content inventory that does not track the molecules of a recycle content feedstock to the molecules of the resulting compositions which were made with the recycle content feedstocks, or which does have such tracking capability but which did not track the particular allotment as applied to a composition. [0091] In one embodiment or in combination with any of the mentioned embodiments, an allotment may be deposited into a recycle content inventory, and a credit or allocation may be withdrawn from the inventory and applied to a composition. This would be the case where an allotment is created by making a first composition from the pyrolysis of recycle waste, or from r-pyoil or the cracking of r- pyoil, or by any other method of making a first composition from recycle waste, depositing the allocation associated with such first composition into a recycle content inventory, and deducting a recycle content value from the recycle content inventory and applying it to a second composition that is not a derivate of the first composition or that was not actually made by the first composition as a feedstock. In this system, one need not trace the source of a reactant back to the cracking of pyoil or back to any atoms contained in olefin-containing effluent , but rather can use any reactant made by any process and have associated with such reactant a recycle content allotment. [0092] In one embodiment or in combination with any mentioned embodiments, a composition receiving an allotment is used as a feedstock to make downstream derivatives of the composition, and such composition is a product of cracking a cracker feedstock in a cracker furnace. In one embodiment or in combination with any mentioned embodiments, there is provided a process in which: a. a r-pyoil is obtained, b. a recycle content value (or allotment) is obtained from the r-pyoil and i. deposited into a recycle content inventory, and an allotment (or credit) is withdrawn from the recycle content inventory and applied to any composition to obtain a r-composition, or ii. applied directly to any composition, without depositing into a recycle content inventory, to obtain an r-composition; and c. at least a portion of the r-pyoil is cracked in a cracker furnace, optionally according to any of the designs or processes described herein; and d. optionally at least a portion of the composition in step b. originates from a cracking a cracker feedstock in a cracker furnace, optionally the composition having been obtained by any of the feedstocks, including r-pyoil, and methods described herein. [0093] The steps b. and c. do not have to occur simultaneously. In one embodiment or in combination with any mentioned embodiments, they occur within a year of each other, or within six (6) months of each other, or within three (3) months of each other, or within one (1) month of each other, or within two (2) weeks of each other, or within one (1) week of each other, or within three (3) days of each other. The process allows for a time lapse between the time an entity or person receiving the r-pyoil and creating the allotment (which can occur upon receipt or ownership of the r-pyoil or deposit into inventory) and the actual processing of the r-pyoil in a cracker furnace. [0094] As used herein, “recycle content inventory” and “inventory” mean a group or collection of allotments (allocations or credits) from which deposits and deductions of allotments in any units can be tracked. The inventory can be in any form (electronic or paper), using any or multiple software programs, or using a variety of modules or applications that together as a whole tracks the deposits and deductions. Desirably, the total amount of recycle content withdrawn (or applied to compositions) does not exceed the total amount of recycle content allotments on deposit in the recycle content inventory (from any source, not only from cracking of r-pyoil). However, if a deficit of recycle content value is realized, the recycle content inventory is rebalanced to achieve a zero or positive recycle content value available. The timing for rebalancing can be either determined and managed in accordance with the rules of a particular system of accreditation adopted by the olefin-containing effluent manufacturer or by one among its Family of Entities, or alternatively, is rebalanced within one (1) year, or within six (6) months, or within three (3) months, or within one (1) month of realizing the deficit. The timing for depositing an allotment into the recycle content inventory, applying an allotment (or credit) to a composition to make a r-composition, and cracking r-pyoil, need not be simultaneous or in any particular order. In one embodiment or in combination with any mentioned embodiments, the step of cracking a particular volume of r-pyoil occurs after the recycle content value or allotment from that volume of r-pyoil is deposited into a recycle content inventory. Further, the allotments or recycle content values withdrawn from the recycle content inventory need not be traceable to r-pyoil or cracking r-pyoil, but rather can be obtained from any waste recycle stream, and from any method of processing the recycle waste stream. Desirably, at least a portion of the recycle content value in the recycle content inventory is obtained from r-pyoil, and optionally at least a portion of r-pyoil, are processed in the one or more cracking processes as described herein, optionally within a year of each other and optionally at least a portion of the volume of r-pyoil from which a recycle content value is deposited into the recycle content inventory is also processed by any or more of the cracking processes described herein. [0095] The determination of whether an r-composition is derived directly or indirectly from recycled waste is not on the basis of whether intermediate steps or entities do or do not exist in the supply chain, but rather whether at least a portion of the r-composition that is fed to the reactor for making an end product such as an olefin or an aldehyde or an oxo alcohol or an oxo plasticizer can be traced to an r- composition made from recycled waste. [0096] The determination of whether a pr-composition is derived directly or indirectly from the pyrolysis of recycled waste (e.g., from the cracking of r-pyoil or from r-pygas) is not on the basis of whether intermediate steps or entities do or do not exist in the supply chain, but rather whether at least a portion of the pr-composition that is fed to the reactor for making an end product such as PVA can be traced to an pr-composition made from the pyrolysis of recycled waste. [0097] As noted above, the end product is considered to be directly derived from recycled waste if at least a portion of the reactant feedstock used to make the product can be traced back, optionally through one or more intermediate steps or entities, to at least a portion of an r-composition produced from recycled waste (e.g., during the cracking of r-pyoil fed to a cracking furnace or as an effluent from the cracking furnace). [0098] The r-composition as an effluent may be in crude form that requires refining to isolate the particular r-composition. The r-composition manufacturer can, typically after refining and/or purification and compression to produce the desired grade of the particular r-composition, sell such r-composition to an intermediary entity who then sells the r-composition, or one or more derivatives thereof, to another intermediary for making an intermediate product or directly to the product manufacturer. Any number of intermediaries and intermediate derivates can be made before the final product is made. [0099] The actual r-composition volume, whether condensed as a liquid, supercritical, or stored as a gas, can remain at the facility where it is made, or can be shipped to a different location, or held at an off-site storage facility before utilized by the intermediary or product manufacturer. For purposes of tracing, once r- composition made from recycled waste (e.g., by cracking r-pyoil or from r-pygas) is mixed with another volume of the composition (e.g. r-propylene mixed with non- recycle propylene), for example in a storage tank, salt dome, or cavern, then the entire tank, dome, or cavern at that point becomes an r-composition source, and for purposes of tracing, withdrawal from such storage facility is withdrawing from an r- composition source until such time as when the entire volume or inventory of the storage facility is turned over or withdrawn and/or replaced with non-recycle compositions after the r-composition feed to the tank stops. Likewise, this applies also to any downstream storage facilities for storing the derivatives of the r- compositions, such as r-A and pr-A compositions. [0100] A r-composition is considered to be indirectly derived from recycled waste or pyrolysis of recycled waste or cracking of r-pyoil if it has associated with it a recycle content allotment and may or may not contain a physical component that is traceable to an r-composition at least a portion of which is obtained from recycled waste/pyrolysis of recycled waste/cracking of r-pyoil. For example, the (i) manufacturer of the product can operate within a legal framework, or an association framework, or an industry recognized framework for making a claim to a recycle content through, for example, a system of credits transferred to the product manufacturer regardless of where or from whom the r-composition, or derivatives thereof, or reactant feedstocks to make the product, is purchased or transferred, or (ii) a supplier of the r-composition or a derivate thereof (“supplier”) operates within an allotment framework that allows for associating or applying a recycle content value or pr-valueto a portion or all of an olefin-containing effluent or a compound within an olefin-containing effluent or derivate thereof to make an r-composition, and to transfer the recycle content value or allotment to the manufacturer of the product or any intermediary who obtains a supply of r-composition, or its derivatives, from the supplier. In this system, one need not trace the source of r-A volume back to the manufacture of r-composition from recycled waste/pyrolyzed recycled waste, but rather can use any aldehyde composition made by any process and have associated with such aldehyde composition a recycle content allotment. [0101] Examples of how an AD composition for making PVA can obtain recycle content include (and propylene is used as an example, but other olefins are also equally applicable such as ethylene): (i) a cracker facility in which r-propylene made at the facility, by cracking r-pyoil or obtained from r-pygas, can be in fluid communication, continuously or intermittently and directly or indirectly through intermediate facilities such an AD facility, with an AD formation facility (which can be to a storage vessel at the AD facility or directly to the AD formation reactor) through interconnected pipes, optionally through one or more storage vessels and valves or interlocks, and the r-propylene feedstock is drawn through the interconnected piping: a. from the cracker facility while r-propylene is being made or thereafter within the time for the r-propylene to transport through the piping to the AD formation facility; or b. from the one or more storage tanks at any time provided that at least one of the storage tanks was fed with r-propylene, and continue for so long as the entire volume of the one or more storage tanks is replaced with a feed that does not contain r- propylene; or (ii) transporting propylene from a storage vessel, dome, or facility, or in an isotainer via truck or rail or ship or a means other than piping, that contains or has been fed with r-propylene until such time as the entire volume of the vessel, dome or facility has been replaced with an propylene gas feed that does not contain r-propylene; or (iii) the manufacturer of the AD certifies, represents to its customers or the public, or advertises that its AD contains recycle content or is obtained from feedstock containing or obtained from recycle content, where such recycle content claim is based in whole or in part on a propylene feedstock associated with an allocation from propylene made from cracking r-pyoil or obtained from r-pygas; or (iv) the manufacturer of the AD has acquired: a. a propylene volume made from r-pyoil under a certification, representation, or as advertised, or b. has transferred credits or allocation with the supply of propylene to the manufacturer of the AD sufficient to allow the manufacturer of the AD to satisfy the certification requirements or to make its representations or advertisements, or c. the propylene has allocated to it a recycle content where such allocation was obtained, through one or more intermediary entities, from a cracked propylene volume at least part of which is obtained by cracking r-pyoil or obtained from r-pygas. [0102] As discussed above, the recycle content can be a pyrolysis recycle content that is directly or indirectly derived from the pyrolysis of recycled waste (e.g., from cracking r-pyoil or from r-pygas). [0103] In one embodiment or in combination with any of the mentioned embodiments, the recycle content input or creation (recycle content feedstock or allotments) can be to or at a first Site, and recycle content values from said inputs are transferred to a second Site and applied to one or more compositions made at a second Site. The recycle content values can be applied symmetrically or asymmetrically to the compositions at the second Site. A recycle content value that is directly or indirectly “derived from cracking r-pyoil”, or a recycle content value that is “obtained from cracking r-pyoil” or originating in cracking r-pyoil does not imply the timing of when the recycle content value or allotment is taken, captured, deposited into a recycle content inventory, or transferred. The timing of depositing the allotment or recycle content value into a recycle content inventory, or realizing, recognizing, capturing, or transferring it, is flexible and can occur as early as receipt of r-pyoil onto the site within a Family of Entities, possessing it, or bringing the r-pyoil into inventory by the entity or person, or within the Family of Entities, owning or operating the cracker facility. Thus, an allotment or recycle content value on a volume of r-pyoil can be obtained, captured, deposited into an inventory, or transferred to a product without having yet fed that volume to cracker furnace and cracked. The allotment can also be obtained during feeding r-pyoil to a cracker, during cracking, or when an r-composition is made. An allotment taken when r-pyoil is owned, possessed, or received and deposited into a recycle content inventory is an allotment that is associated with, obtained from, or originates from cracking r-pyoil even though, at the time of taking or depositing the allotment, the r-pyoil has not yet been cracked, provided that the r-pyoil is at some future point in time cracked. [0104] The terms “recycled waste,” “waste stream,” and “recycled waste stream” are used interchangeably to mean any type of waste or waste-containing stream that is reused in a production process, rather than being permanently disposed of (e.g., in a landfill or incinerator). The recycled waste stream is a flow or accumulation of recycled waste from industrial and consumer sources that is at least in part recovered. [0105] A recycled waste stream includes materials, products, and articles (collectively “material(s)” when used alone). Recycled waste materials can be solid or liquid. Examples of a solid recycled waste stream include plastics, rubber (including tires), textiles, wood, biowaste, modified celluloses, wet laid products, and any other material capable of being pyrolyzed. Examples of liquid waste streams include industrial sludge, oils (including those derived from plants and petroleum), recovered lube oil, or vegetable oil or animal oil, and any other chemical streams from industrial plants. [0106] In one embodiment or in combination with any of the mentioned embodiments, the recycled waste stream that is pyrolyzed includes a stream containing at least in part post-industrial, or post-consumer, or both a post-industrial and post-consumer materials. In one embodiment or in combination with any of the mentioned embodiments, a post-consumer material is one that has been used at least once for its intended application for any duration of time regardless of wear, or has been sold to an end use customer, or which is discarded into a recycle bin by any person or entity other than a manufacturer or business engaged in the manufacture or sale of the material. [0107] In one embodiment or in combination with any of the mentioned embodiments, a post-industrial material is one which has been created and has not been used for its intended application, or has not been sold to the end use customer, or discarded by a manufacturer or any other entity engaged in the sale of the material. Examples of post-industrial materials include rework, regrind, scrap, trim, out of specification materials, and finished materials transferred from a manufacturer to any downstream customer (e.g. manufacturer to wholesaler to distributor) but not yet used or sold to the end use customer. [0108] The form of the recycled waste stream, which can be fed to a pyrolysis unit, is not limited, and can include any of the forms of articles, products, materials, or portions thereof. A portion of an article can take the form of sheets, extruded shapes, moldings, films, laminates, foam pieces, chips, flakes, particles, fibers, agglomerates, briquettes, powder, shredded pieces, long strips, or randomly shaped pieces having a wide variety of shapes, or any other form other than the original form of the article and adapted to feed a pyrolysis unit. [0109] In one embodiment or in combination with any of the mentioned embodiments, the recycled waste material is size reduced. Size reduction can occur through any means, including chopping, shredding, harrowing, confrication, pulverizing, cutting a feedstock, molding, compression, or dissolution in a solvent. [0110] Recycled waste plastics can be isolated as one type of polymer stream or may be a stream of mixed recycled waste plastics. The plastics can be any organic synthetic polymer that is solid at 25°C at 1 atm. The plastics can be thermosetting, thermoplastic, or elastomeric plastics. Examples of plastics include high density polyethylene and copolymers thereof, low density polyethylene and copolymers thereof, polypropylene and copolymers thereof, other polyolefins, polystyrene, polyvinyl chloride (PVC), polyvinylidene chloride (PVDC), polyesters including polyethylene terephthalate, copolyesters and terephthalate copolyesters (e.g. containing residues of TMCD, CHDM, propylene glycol, or NPG monomers), polyethylene terephthalate, polyamides, poly(methyl methacrylate), polytetrafluoroethylene, acrylobutadienestyrene (ABS), polyurethanes, cellulosics and derivates thereof such as cellulose acetate, cellulose diacetate, cellulose triacetate, cellulose propionate, cellulose butyrate; regenerated cellulosics such as viscose and rayons, epoxy, polyamides, phenolic resins, polyacetal, polycarbonates, polyphenylene-based alloys, polypropylene and copolymers thereof, polystyrene, styrenic compounds, vinyl based compounds, styrene acrylonitrile, thermoplastic elastomers, and urea based polymers and melamine containing polymers. [0111] Suitable recycled waste plastics also include any of those having a resin ID code numbered 1-7 within the chasing arrow triangle established by the SPI. In one embodiment or in combination with any of the mentioned embodiments, the r-pyoil is made from a recycled waste stream at least a portion of which contains plastics that are not generally recycled. These would include plastics having numbers 3 (polyvinyl chloride), 5 (polypropylene), 6 (polystyrene), and 7 (other). In one embodiment or in combination with any of the mentioned embodiments, the recycled waste stream that is pyrolyzed contains less than 10 weight percent, or not more than 5 weight percent, or not more than 3 weight percent, or not more than 2 weight percent, or not more than 1 weight percent, or not more than 0.5 weight percent, or not more than 0.2 weight percent, or not more than 0.1 weight percent, or not more and 0.05 weight percent plastics with a number 3 designation (polyvinyl chloride), or optionally plastics with a number 3 and 6 designation, or optionally with a number 3, 6 and 7 designation. [0112] Examples of recycled rubber include natural and synthetic rubber. The form of the rubber is not limited, and includes tires. [0113] Examples of recycled waste wood include soft and hard woods, chipped, pulped, or as finished articles. The source of much recycled waste wood is industrial, construction, or demolition. [0114] Examples of recycled biorecycled waste includes household biorecycled waste (e.g. food), green or garden biorecycled waste, and biorecycled waste from the industrial food processing industry. [0115] Examples of recycled textiles includes natural and/or synthetic fibers, rovings, yarns, nonwoven webs, cloth, fabrics and products made from or containing any of the aforementioned items. Textiles can be woven, knitted, knotted, stitched, tufted, pressing of fibers together such as would be done in a felting operation, embroidered, laced, crocheted, braided, or nonwoven webs and materials. Textiles include fabrics, and fibers separated from a textile or other product containing fibers, scrap or off spec fibers or yarns or fabrics, or any other source of loose fibers and yarns. A textile also includes staple fibers, continuous fibers, threads, tow bands, twisted and/or spun yarns, grey fabrics made from yarns, finished fabrics produced by wet processing gray fabrics, and garments made from the finished fabrics or any other fabrics. Textiles include apparels, interior furnishings, and industrial types of textiles. [0116] Examples of recycled textiles in the apparel category (things humans wear or made for the body) include sports coats, suits, trousers and casual or work pants, shirts, socks, sportswear, dresses, intimate apparel, outerwear such as rain jackets, cold temperature jackets and coats, sweaters, protective clothing, uniforms, and accessories such as scarves, hats, and gloves. Examples of textiles in the interior furnishing category include furniture upholstery and slipcovers, carpets and rugs, curtains, bedding such as sheets, pillow covers, duvets, comforters, mattress covers; linens, tablecloths, towels, washcloths, and blankets. Examples of industrial textiles include transportation (auto, airplanes, trains, buses) seats, floor mats, trunk liners, and headliners; outdoor furniture and cushions, tents, backpacks, luggage, ropes, conveyor belts, calendar roll felts, polishing cloths, rags, soil erosion fabrics and geotextiles, agricultural mats and screens, personal protective equipment, bullet proof vests, medical bandages, sutures, tapes, and the like. [0117] The recycled nonwoven webs can also be dry laid nonwoven webs. Examples of suitable articles that may be formed from dry laid nonwoven webs as described herein can include those for personal, consumer, industrial, food service, medical, and other types of end uses. Specific examples can include, but are not limited to, baby wipes, flushable wipes, disposable diapers, training pants, feminine hygiene products such as sanitary napkins and tampons, adult incontinence pads, underwear, or briefs, and pet training pads. Other examples include a variety of different dry or wet wipes, including those for consumer (such as personal care or household) and industrial (such as food service, health care, or specialty) use. Nonwoven webs can also be used as padding for pillows, mattresses, and upholstery, batting for quilts and comforters. In the medical and industrial fields, nonwoven webs of the present invention may be used for medical and industrial face masks, protective clothing, caps, and shoe covers, disposable sheets, surgical gowns, drapes, bandages, and medical dressings. Additionally, nonwoven webs may be used for environmental fabrics such as geotextiles and tarps, oil and chemical absorbent pads, as well as building materials such as acoustic or thermal insulation, tents, lumber and soil covers and sheeting. Nonwoven webs may also be used for other consumer end use applications, such as for, carpet backing, packaging for consumer, industrial, and agricultural goods, thermal or acoustic insulation, and in various types of apparel. The dry laid nonwoven webs may also be used for a variety of filtration applications, including transportation (e.g., automotive or aeronautical), commercial, residential, industrial, or other specialty applications. Examples can include filter elements for consumer or industrial air or liquid filters (e.g., gasoline, oil, water), including nanofiber webs used for microfiltration, as well as end uses like tea bags, coffee filters, and dryer sheets. Further, nonwoven webs may be used to form a variety of components for use in automobiles, including, but not limited to, brake pads, trunk liners, carpet tufting, and under padding. [0118] The recycled textiles can include single type or multiple type of natural fibers and/or single type or multiple type of synthetic fibers. Examples of textile fiber combinations include all natural, all synthetic, two or more type of natural fibers, two or more types of synthetic fibers, one type of natural fiber and one type of synthetic fiber, one type of natural fibers and two or more types of synthetic fibers, two or more types of natural fibers and one type of synthetic fibers, and two or more types of natural fibers and two or more types of synthetic fibers. [0119] Examples of recycled wet laid products include cardboard, office paper, newsprint and magazine, printing and writing paper, sanitary, tissue/toweling, packaging/container board, specialty papers, apparel, bleached board, corrugated medium, wet laid molded products, unbleached Kraft, decorative laminates, security paper and currency, grand scale graphics, specialty products, and food and drink products. [0120] Examples of modified cellulose include cellulose acetate, cellulose diacetate, cellulose triacetate, regenerated cellulose such a viscose, rayon, and Lyocel™ products, in any form, such as tow bands, staple fibers, continuous fibers, films, sheets, molded or stamped products, and contained in or on any article such as cigarette filter rods, ophthalmic products, screwdrivers handles, optical films, and coatings. [0121] Examples of recycled vegetable oil or animal oil include the oils recovered from animal processing facilities and recycled waste from restaurants. [0122] The source for obtaining recycled post-consumer or post-industrial recycled waste is not limited, and can include recycled waste present in and/or separated from municipal solid recycled waste streams (“MSW”). For example, an MSW stream can be processed and sorted to several discrete components, including textiles, fibers, papers, wood, glass, metals, etc. Other sources of textiles include those obtained by collection agencies, or by or for or on behalf of textile brand owners or consortiums or organizations, or from brokers, or from postindustrial sources such as scrap from mills or commercial production facilities, unsold fabrics from wholesalers or dealers, from mechanical and/or chemical sorting or separation facilities, from landfills, or stranded on docks or ships. [0123] In one embodiment or in combination with any of the mentioned embodiments, the feed to the pyrolysis unit can comprise at least 30, or at least 35, or at least 40, or at least 45, or at least 50, or at least 55, or at least 60, or at least 65, or at least 70, or at least 75, or at least 80, or at least 85, or at least 90, or at least 95, or at least 99, in each case weight percent of at least one, or at least two, or at least three, or at least four, or at least five, or at least six different kinds of recycled waste. Reference to a “kind” is determined by resin ID code 1-7. In one embodiment or in combination with any of the mentioned embodiments, the feed to the pyrolysis unit contains less than 25, or not more than 20, or not more than 15, or not more than 10, or not more than 5, or not more than 1, in each case weight percent of polyvinyl chloride and/or polyethylene terephthalate. In one embodiment or in combination with any of the mentioned embodiments, the recycled waste stream contains at least one, two, or three kinds of plasticized plastics. [0124] FIG. 2 depicts an exemplary pyrolysis system 110 that may be employed to at least partially convert one or more recycled waste, particularly recycled plastic waste, into various useful pyrolysis-derived products. It should be understood that the pyrolysis system shown in FIG. 2 is just one example of a system within which the present disclosure can be embodied. The present disclosure may find application in a wide variety of other systems where it is desirable to efficiently and effectively pyrolyze recycled waste, particularly recycled plastic waste, into various desirable end products. The exemplary pyrolysis system illustrated in FIG. 2 will now be described in greater detail. [0125] As shown in FIG.2, the pyrolysis system 110 may include a waste plastic source 112 for supplying one or more waste plastics to the system 110. The plastic source 112 can be, for example, a hopper, storage bin, railcar, over-the-road trailer, or any other device that may hold or store waste plastics. In an embodiment or in combination with any of the embodiments mentioned herein, the waste plastics supplied by the plastic source 112 can be in the form of solid particles, such as chips, flakes, or a powder. Although not depicted in FIG. 2, the pyrolysis system 110 may also comprise additional sources of other types of recycled wastes that may be utilized to provide other feed types to the system 110. [0126] In an embodiment or in combination with any of the embodiments mentioned herein, the waste plastics can include one or more post-consumer waste plastic such as, for example, high density polyethylene, low density polyethylene, polypropylene, other polyolefins, polystyrene, polyvinyl chloride (PVC), polyvinylidene chloride (PVDC), polyethylene terephthalate, polyamides, poly(methyl methacrylate), polytetrafluoroethylene, or combinations thereof. In an embodiment or in combination with any of the embodiments mentioned herein, the waste plastics may include high density polyethylene, low density polyethylene, polypropylene, or combinations thereof. As used herein, “post-consumer” refers to non-virgin plastics that have been previously introduced into the consumer market. [0127] In an embodiment or in combination with any of the embodiments mentioned herein, a waste plastic-containing feed may be supplied from the plastic source 112. In an embodiment or in combination with any of the embodiments mentioned herein, the waste plastic-containing feed can comprise, consist essentially of, or consist of high density polyethylene, low density polyethylene, polypropylene, other polyolefins, polystyrene, polyvinyl chloride (PVC), polyvinylidene chloride (PVDC), polyethylene terephthalate, polyamides, poly(methyl methacrylate), polytetrafluoroethylene, or combinations thereof. [0128] In an embodiment or in combination with any of the embodiments mentioned herein, the waste plastic-containing feed can comprise at least 30, or at least 35, or at least 40, or at least 45, or at least 50, or at least 55, or at least 60, or at least 65, or at least 70, or at least 75, or at least 80, or at least 85, or at least 90, or at least 95, or at least 99, in each case weight percent of at least one, two, three, or four different kinds of waste plastic. In an embodiment or in combination with any of the embodiments mentioned herein, the plastic waste may comprise not more than 25, or not more than 20, or not more than 15, or not more than 10, or not more than 5, or not more than 1, in each case weight percent of polyvinyl chloride and/or polyethylene terephthalate. In an embodiment or in combination with any of the embodiments mentioned herein, the waste plastic-containing feed can comprise at least one, two, or three kinds of plasticized plastics. Reference to a “kind” is determined by resin ID code 1-7. [0129] As depicted in FIG. 2, the solid waste plastic feed from the plastic source 112 can be supplied to a feedstock pretreatment unit 114. While in the feedstock pretreatment unit 114, the introduced waste plastics may undergo a number of pretreatments to facilitate the subsequent pyrolysis reaction. Such pretreatments may include, for example, washing, mechanical agitation, flotation, size reduction or any combination thereof. In an embodiment or in combination with any of the embodiments mentioned herein, the introduced plastic waste may be subjected to mechanical agitation or subjected to size reduction operations to reduce the particle size of the plastic waste. Such mechanical agitation can be supplied by any mixing, shearing, or grinding device known in the art which may reduce the average particle size of the introduced plastics by at least 10, or at least 25, or at least 50, or at least 75, in each case percent. [0130] Next, the pretreated plastic feed can be introduced into a plastic feed system 116. The plastic feed system 116 may be configured to introduce the plastic feed into the pyrolysis reactor 118. The plastic feed system 116 can comprise any system known in the art that is capable of feeding the solid plastic feed into the pyrolysis reactor 118. In an embodiment or in combination with any of the embodiments mentioned herein, the plastic feed system 116 can comprise a screw feeder, a hopper, a pneumatic conveyance system, a mechanic metal train or chain, or combinations thereof. [0131] While in the pyrolysis reactor 118, at least a portion of the plastic feed may be subjected to a pyrolysis reaction that produces a pyrolysis effluent comprising a pyrolysis oil (e.g., r-pyoil) and a pyrolysis gas (e.g., r-pyrolysis gas). The pyrolysis reactor 118 can be, for example, an extruder, a tubular reactor, a tank, a stirred tank reactor, a riser reactor, a fixed bed reactor, a fluidized bed reactor, a rotary kiln, a vacuum reactor, a microwave reactor, an ultrasonic or supersonic reactor, or an autoclave, or a combination of these reactors. [0132] Generally, pyrolysis is a process that involves the chemical and thermal decomposition of the introduced feed. Although all pyrolysis processes may be generally characterized by a reaction environment that is substantially free of oxygen, pyrolysis processes may be further defined, for example, by the pyrolysis reaction temperature within the reactor, the residence time in the pyrolysis reactor, the reactor type, the pressure within the pyrolysis reactor, and the presence or absence of pyrolysis catalysts. [0133] In an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis reaction can involve heating and converting the plastic feed in an atmosphere that is substantially free of oxygen or in an atmosphere that contains less oxygen relative to ambient air. In an embodiment or in combination with any of the embodiments mentioned herein, the atmosphere within the pyrolysis reactor 118 may comprise not more than 5, or not more than 4, or not more than 3, or not more than 2, or not more than 1, or not more than 0.5, in each case weight percent of oxygen gas. [0134] In an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis process may be carried out in the presence of an inert gas, such as nitrogen, carbon dioxide, and/or steam. Additionally, or alternatively, in an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis process can be carried out in the presence of a reducing gas, such as hydrogen and/or carbon monoxide. [0135] In an embodiment or in combination with any of the embodiments mentioned herein, the temperature in the pyrolysis reactor 118 can be adjusted to as to facilitate the production of certain end products. In an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis temperature in the pyrolysis reactor 118 can be at least 325°C, or at least 350°C, or at least 375°C, or at least 400°C, or at least 425°C, or at least 450°C, or at least 475°C, or at least 500°C, or at least 525°C, or at least 550°C, or at least 575°C, or at least 600°C, or at least 625°C, or at least 650°C, or at least 675°C, or at least 700°C, or at least 725°C, or at least 750°C, or at least 775°C, or at least 800°C. Additionally, or alternatively, in an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis temperature in the pyrolysis reactor 118 can be not more than 1,100°C, or not more than 1,050°C, or not more than 1,000°C, or not more than 950°C, or not more than 900°C, or not more than 850°C, or not more than 800°C, or not more than 750°C, or not more than 700°C, or not more than 650°C, or not more than 600°C, or not more than 550°C, or not more than 525°C, or not more than 500°C, or not more than 475°C, or not more than 450°C, or not more than 425°C, or not more than 400°C. In an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis temperature in the pyrolysis reactor 118 can range from 325 to 1,100°C, 350 to 900°C, 350 to 700°C, 350 to 550°C, 350 to 475°C, 500 to 1,100°C, 600 to 1,100°C, or 650 to 1,000°C. [0136] In an embodiment or in combination with any of the embodiments mentioned herein, the residence times of the pyrolysis reaction can be at least 1, or at least 2, or at least 3, or at least 4, in each case seconds, or at least 10, or at least 20, or at least 30, or at least 45, or at least 60, or at least 75, or at least 90, in each case minutes. Additionally, or alternatively, in an embodiment or in combination with any of the embodiments mentioned herein, the residence times of the pyrolysis reaction can be not more than 6 hours, or not more than 5, or not more than 4, or not more than 3, or not more than 2, or not more than 1, or not more than 0.5, in each case hours. In an embodiment or in combination with any of the embodiments mentioned herein, the residence times of the pyrolysis reaction can range from 30 minutes to 4 hours, or 30 minutes to 3 hours, or 1 hour to 3 hours, or 1 hour to 2 hours. [0137] In an embodiment or in combination with any of the embodiments mentioned herein, the pressure within the pyrolysis reactor 118 can be maintained at a pressure of at least 0.1, or at least 0.2, or at least 0.3, in each case bar and/or not more than 60, or not more than 50, or not more than 40, or not more than 30, or not more than 20, or not more than 10, or not more than 8, or not more than 5, or not more than 2, or not more than 1.5, or not more than 1.1, in each case bar. In an embodiment or in combination with any of the embodiments mentioned herein, the pressure within the pyrolysis reactor 18 can be maintained at about atmospheric pressure or within the range of 0.1 to 100 bar, or 0.1 to 60 bar, or 0.1 to 30 bar, or 0.1 to 10 bar, or 1.5 bar, 0.2 to 1.5 bar, or 0.3 to 1.1 bar. [0138] In an embodiment or in combination with any of the embodiments mentioned herein, a pyrolysis catalyst may be introduced into the plastic feed prior to introduction into the pyrolysis reactor 118 and/or introduced directly into the pyrolysis reactor 118 to produce an r-catalytic pyoil, or an r-pyoil made by a catalytic pyrolysis process. In an embodiment or in combination with any embodiment mentioned herein or in combination with any of the embodiments mentioned herein, the catalyst can comprise: (i) a solid acid, such as a zeolite (e.g., ZSM-5, Mordenite, Beta, Ferrierite, and/or zeolite-Y); (ii) a super acid, such as sulfonated, phosphated, or fluorinated forms of zirconia, titania, alumina, silica-alumina, and/or clays; (iii) a solid base, such as metal oxides, mixed metal oxides, metal hydroxides, and/or metal carbonates, particularly those of alkali metals, alkaline earth metals, transition metals, and/or rare earth metals; (iv) hydrotalcite and other clays; (v) a metal hydride, particularly those of alkali metals, alkaline earth metals, transition metals, and/or rare earth metals; (vi) an alumina and/or a silica-alumina; (vii) a homogeneous catalyst, such as a Lewis acid, a metal tetrachloroaluminate, or an organic ionic liquid; (viii) activated carbon; or (ix) combinations thereof. [0139] In an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis reaction in the pyrolysis reactor 118 occurs in the substantial absence of a catalyst, particularly the above-referenced catalysts. In such embodiments, a non-catalytic, heat-retaining inert additive may still be introduced into the pyrolysis reactor 118, such as sand, in order to facilitate the heat transfer within the reactor 118. [0140] In an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis reaction in the pyrolysis reactor 118 may occur in the substantial absence of a pyrolysis catalyst, at a temperature in the range of 350 to 550°C, at a pressure ranging from 0.1 to 60 bar, and at a residence time of 0.2 seconds to 4 hours, or 0.5 hours to 3 hours. [0141] Referring again to FIG. 2, the pyrolysis effluent 120 exiting the pyrolysis reactor 118 generally comprises pyrolysis gas, pyrolysis vapors, and residual solids. As used herein, the vapors produced during the pyrolysis reaction may interchangeably be referred to as a “pyrolysis oil,” which refers to the vapors when condensed into their liquid state. In an embodiment or in combination with any of the embodiments mentioned herein, the solids in the pyrolysis effluent 20 may comprise particles of char, ash, unconverted plastic solids, other unconverted solids from the feedstock, and/or spent catalyst (if a catalyst is utilized). [0142] In an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis effluent 120 may comprise at least 20, or at least 25, or at least 30, or at least 40, or at least 45, or at least 50, or at least 55, or at least 60, or at least 65, or at least 70, or at least 75, or at least or at least 80, in each case weight percent of the pyrolysis vapors, which may be subsequently condensed into the resulting pyrolysis oil (e.g., r-pyoil). Additionally, or alternatively, in an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis effluent 120 may comprise not more than 99, or not more than 95, or not more than 90, or not more than 85, or not more than 80, or not more than 75, or not more than 70, or not more than 65, or not more than 60, or not more than 55, or not more than 50, or not more than 45, or not more than 40, or not more than 35, or not more than 30, in each case weight percent of the pyrolysis vapors. In an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis effluent 120 may comprise in the range of 20 to 99 weight percent, 40 to 90 weight percent, or 55 to 90 weight percent of the pyrolysis vapors. [0143] In an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis effluent 120 may comprise at least 1, or at least 5, or at least 6, or at least 7, or at least 8, or at least 9, or at least 10, or at least 11, or at least 12, in each case weight percent of the pyrolysis gas (e.g., r-pyrolysis gas). As used herein, a “pyrolysis gas” refers to a composition that is produced via pyrolysis and is a gas at standard temperature and pressure (STP). Additionally, or alternatively, in an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis effluent 20 may comprise not more than 90, or not more than 85, or not more than 80, or not more than 75, or not more than 70, or not more than 65, or not more than 60, or not more than 55, or not more than 50, or not more than 45, or not more than 40, or not more than 35, or not more than 30, or not more than 25, or not more than 20, or not more than 15, in each case weight percent of the pyrolysis gas. In an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis effluent 120 may comprise 1 to 90 weight percent, or 5 to 60 weight percent, or 10 to 60 weight percent, or 10 to 30 weight percent, or 5 to 30 weight percent of the pyrolysis gas. [0144] In an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis effluent 120 may comprise not more than 15, or not more than 10, or not more than 9, or not more than 8, or not more than 7, or not more than 6, or not more than 5, or not more than 4 or not more than 3, in each case weight percent of the residual solids. [0145] As depicted in FIG. 2, the conversion effluent 120 from the pyrolysis reactor 118 can be introduced into a solids separator 122. The solids separator 122 can be any conventional device capable of separating solids from gas and vapors such as, for example, a cyclone separator or a gas filter or combination thereof. In an embodiment or in combination with any of the embodiments mentioned herein, the solids separator 122 removes a substantial portion of the solids from the conversion effluent 120. In an embodiment or in combination with any of the embodiments mentioned herein, at least a portion of the solid particles 24 recovered in the solids separator 122 may be introduced into an optional regenerator 126 for regeneration, generally by combustion. After regeneration, at least a portion of the hot regenerated solids 128 can be introduced directly into the pyrolysis reactor 118. In an embodiment or in combination with any of the embodiments mentioned herein, at least a portion of the solid particles 124 recovered in the solids separator 122 may be directly introduced back into the pyrolysis reactor 118, especially if the solid particles 124 contain a notable amount of unconverted plastic waste. Solids can be removed from the regenerator 126 through line 145 and discharged out of the system. [0146] Turning back to FIG. 2, the remaining gas and vapor conversion products 130 from the solids separator 122 may be introduced into a fractionator 132. In the fractionator 132, at least a portion of the pyrolysis oil vapors may be separated from the pyrolysis gas to thereby form a pyrolysis gas product stream 134 and a pyrolysis oil vapor stream 136. Suitable systems to be used as the fractionator 132 may include, for example, a distillation column, a membrane separation unit, a quench tower, a condenser, or any other known separation unit known in the art. In an embodiment or in combination with any of the embodiments mentioned herein, any residual solids 146 accrued in the fractionator 132 may be introduced in the optional regenerator 126 for additional processing. [0147] In an embodiment or in combination with any of the embodiments mentioned herein, at least a portion of the pyrolysis oil vapor stream 136 may be introduced into a quench unit 138 in order to at least partially quench the pyrolysis vapors into their liquid form (i.e., the pyrolysis oil). The quench unit 138 may comprise any suitable quench system known in the art, such as a quench tower. The resulting liquid pyrolysis oil stream 140 may be removed from the system 110 and utilized in the other downstream applications described herein. In an embodiment or in combination with any of the embodiments mentioned herein, the liquid pyrolysis oil stream 140 may not be subjected to any additional treatments, such as hydrotreatment and/or hydrogenation, prior to being utilized in any of the downstream applications described herein. [0148] In an embodiment or in combination with any embodiment mentioned herein or in combination with any of the embodiments mentioned herein, at least a portion of the pyrolysis oil vapor stream 136 may be introduced into a hydroprocessing unit 142 for further refinement. The hydroprocessing unit 142 may comprise a hydrocracker, a catalytic cracker operating with a hydrogen feed stream, a hydrotreatment unit, and/or a hydrogenation unit. While in the hydroprocessing unit 142, the pyrolysis oil vapor stream 136 may be treated with hydrogen and/or other reducing gases to further saturate the hydrocarbons in the pyrolysis oil and remove undesirable byproducts from the pyrolysis oil. The resulting hydroprocessed pyrolysis oil vapor stream 144 may be removed and introduced into the quench unit 138. Alternatively, the pyrolysis oil vapor may be cooled, liquified, and then treated with hydrogen and/or other reducing gases to further saturate the hydrocarbons in the pyrolysis oil. In this case, the hydrogenation or hydrotreating is performed in a liquid phase pyrolysis oil. No quench step is required in this embodiment post- hydrogenation or post-hydrotreating. [0149] The pyrolysis system 110 described herein may produce a pyrolysis oil (e.g., r-pyoil) and pyrolysis gases (e.g., r-pyrolysis gas) that may be directly used in various downstream applications based on their desirable formulations. The various characteristics and properties of the pyrolysis oils and pyrolysis gases are described below. It should be noted that, while all of the following characteristics and properties may be listed separately, it is envisioned that each of the following characteristics and/or properties of the pyrolysis oils or pyrolysis gases are not mutually exclusive and may be combined and present in any combination. [0150] The pyrolysis oil may predominantly comprise hydrocarbons having from 4 to 30 carbon atoms per molecule (e.g., C ₄ to C30 hydrocarbons). As used herein, the term “Cx” or “Cx hydrocarbon,” refers to a hydrocarbon compound including x total carbons per molecule, and encompasses all olefins, paraffins, aromatics, and isomers having that number of carbon atoms. For example, each of normal, iso, and tert butane and butene and butadiene molecules would fall under the general description “C ₄ .” [0151] In an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis oil fed to the cracking furnace may have a C ₄ -C ₃₀ hydrocarbon content of at least 55, or at least 60, or at least 65, or at least 70, or at least 75, or at least 80, or at least 85, or at least 90, or at least 95, in each case weight percent based on the weight of the pyrolysis oil. [0152] In an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis oil fed to the furnace can predominantly comprise C ₅ - C ₂₅ , C ₅ -C ₂₂ , or C ₅ -C ₂₀ hydrocarbons, or may comprise at least about 55, or at least 60, or at least 65, or at least 70, or at least 75, or at least 80, or at least 85, or at least 90, or at least 95, in each case weight percent of C ₅ -C ₂₅ , C ₅ -C ₂₂ , or C ₅ -C ₂₀ hydrocarbons, based on the weight of the pyrolysis oil. [0153] The gas furnace can tolerate a wide variety of hydrocarbon numbers in the pyrolysis oil feedstock, thereby avoiding the necessity for subjecting a pyrolysis oil feedstock to separation techniques to deliver a smaller or lighter hydrocarbon cut to the cracker furnace. In one embodiment or in any of the mentioned embodiments, the pyrolysis oil after delivery from a pyrolysis manufacturer is not subjected a separation process for separating a heavy hydrocarbon cut from a lighter hydrocarbon cut, relative to each other, prior to feeding the pyrolysis oil to a cracker furnace. The feed of pyrolysis oil to a gas furnace allows one to employ a pyrolysis oil that contains heavy tail ends or higher carbon numbers at or above 12. In one embodiment or in any of the mentioned embodiments, the pyrolysis oil fed to a cracker furnace is a C ₅ to C ₂₅ hydrocarbon stream containing at least 3 wt.%, or at least 5 wt.%, or at least 8 wt.%, or at least 10 wt.%, or at least 12 wt.%, or at least 15 wt.%, or at least 18 wt.%, or at least 20 wt.%, or at least 25 wt.% or at least 30 wt.%, or at least 35 wt.%, or at least 40 wt.%, or at least 45 wt.%, or at least 50 wt.%, or at least 55 wt.%, or at least 60 wt.% hydrocarbons within a range from C ₁₂ to C _25, inclusive, or within a range of C14 to C25, inclusive, or within a range of C16 to C25, inclusive. [0154] In an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis oil may have a C ₆ to C ₁₂ hydrocarbon content of at least 10, or at least 15, or at least 20, or at least 25, or at least 30, or at least 35, or at least 40, or at least 45, or at least 50, or at least 55, in each case weight percent, based on the weight of the pyrolysis oil. Additionally, or alternatively, in an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis oil may have a C ₆ -C ₁₂ hydrocarbon content of not more than 95, or not more than 90, or not more than 85, or not more than 80, or not more than 75, or not more than 70, or not more than 65, or not more than 60, in each case weight percent. In an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis oil may have a C ₆ -C ₁₂ hydrocarbon content in the range of 10 to 95 weight percent, 20 to 80 weight percent, or 35 to 80 weight percent. [0155] In an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis oil may have a C ₁₃ to C ₂₃ hydrocarbon content of at least 1, or at least 5, or at least 10, or at least 15, or at least 20, or at least 25, or at least 30, in each case weight percent. Additionally, or alternatively, in an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis oil may have a C ₁₃ to C ₂₃ hydrocarbon content of not more than 80, or not more than 75, or not more than 70, or not more than 65, or not more than 60, or not more than 55, or not more than 50, or not more than 45, or not more than 40, in each case weight percent. In an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis oil may have a C ₁₃ to C ₂₃ hydrocarbon content in the range of 1 to 80 weight percent, 5 to 65 weight percent, or 10 to 60 weight percent. [0156] In an embodiment or in combination with any of the embodiments mentioned herein, the r-pyrolysis oil, or r-pyoil fed to a cracker furnace, or r-pyoil fed to a cracker furnace that, prior to feeding -pyoil, accepts a predominately C ₂ -C ₄ feedstock (and the mention of r-pyoil or pyrolysis oil throughout includes any of these embodiments), may have a C ₂₄ + hydrocarbon content of at least 1, or at least 2, or at least 3, or at least 4, or at least 5, in each case weight percent. Additionally, or alternatively, in an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis oil may have a C ₂₄ + hydrocarbon content of not more than 15, or not more than 10, or not more than 9, or not more than 8, or not more than 7, or not more than 6, in each case weight percent. In an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis oil may have a C ₂₄ + hydrocarbon content in the range of 1 to 15 weight percent, 3 to 15 weight percent, 2 to 5 weight percent, or 5 to 10 weight percent. [0157] The pyrolysis oil may also include various amounts of olefins, aromatics, and other compounds. In an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis oil includes at least 1, or at least 2, or at least 5, or at least 10, or at least 15, or at least 20, in each case weight percent olefins and/or aromatics. Additionally, or alternatively, in an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis oil may include not more than 50, or not more than 45, or not more than 40, or not more than 35, or not more than 30, or not more than 25, or not more than 20, or not more than 15, or not more than 10, or not more than 5, or not more than 2, or not more than 1, in each case weight percent olefins and/or aromatics. [0158] In an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis oil may have an aromatic content of not more than 25, or not more than 20, or not more than 15, or not more than 14, or not more than 13, or not more than 12, or not more than 11, or not more than 10, or not more than 9, or not more than 8, or not more than 7, or not more than 6, or not more than 5, or not more than 4, or not more than 3, or not more than 2, or not more than 1, in each case weight percent. In one embodiment or in combination with any mentioned embodiments, the pyrolysis oil has an aromatic content that is not higher than 15, or not more than 10, or not more than 8, or not more than 6, in each case weight percent. [0159] In an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis oil may have a naphthene content of at least 1, or at least 2, or at least 3, or at least 4, or at least 5, or at least 6, or at least 7, or at least 8, or at least 9, or at least 10, or at least 11, or at least 12, or at least 13, or at least 14, or at least 15, in each case weight percent. Additionally, or alternatively, in an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis oil may have a naphthene content of not more than 50, or not more than 45, or not more than 40, or not more than 35, or not more than 30, or not more than 25, or not more than 20, or not more than 10, or not more than 5, or not more than 2, or not more than 1, or not more than 0.5, or no detectable amount, in each case weight percent. In an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis oil may have a naphthene content of not more than 5, or not more than 2, or not more than 1 wt.%, or no detectable amount, or naphthenes. Alternatively, the pyrolysis oil may contain in the range of 1 to 50 weight percent, 5 to 50 weight percent, or 10 to 45 weight percent naphthenes, especially if the r-pyoil was subjected to a hydrotreating process. [0160] In an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis oil may have a paraffin content of at least 25, or at least 30, or at least 35, or at least 40, or at least 45, or at least 50, in each case weight percent. Additionally, or alternatively, in an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis oil may have a paraffin content of not more than 90, or not more than 85, or not more than 80, or not more than 75, or not more than 70, or not more than 65, or not more than 60, or not more than 55, in each case weight percent. In an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis oil may have a paraffin content in the range of 25 to 90 weight percent, 35 to 90 weight percent, or 40 to 80, or 40-70, or 40-65 weight percent. [0161] In an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis oil may have an n-paraffin content of at least 5, or at least 10, or at least 15, or at least 25, or at least 30, or at least 35, or at least 40, or at least 45, or at least 50, in each case weight percent. Additionally, or alternatively, in an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis oil may have an n-paraffin content of not more than 90, or not more than 85, or not more than 80, or not more than 75, or not more than 70, or not more than 65, or not more than 60, or not more than 55, in each case weight percent. In an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis oil may have an n-paraffin content in the range of 25 to 90 weight percent, 35 to 90 weight percent, or 40-70, or 40-65, or 50 to 80 weight percent. [0162] In an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis oil may have a paraffin to olefin weight ratio of at least 0.2:1, or at least 0.3:1, or at least 0.4:1, or at least 0.5:1, or at least 0.6:1, or at least 0.7:1, or at least 0.8:1, or at least 0.9:1, or at least 1:1. Additionally, or alternatively, in an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis oil may have a paraffin to olefin weight ratio not more than 3:1, or not more than 2.5:1, or not more than 2:1, or not more than 1.5:1, or not more than 1.4:1, or not more than 1.3:1. In an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis oil may have a paraffin to olefin weight ratio in the range of 0.2:1 to 5:1, or 1:1 to 4.5:1, or 1.5:1 to 5:1, or 1.5:1: 4.5:1, or 0.2:1 to 4:1, or 0.2:1 to 3:1, 0.5:1 to 3:1, or 1:1 to 3:1. [0163] In an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis oil may have an n-paraffin to i-paraffin weight ratio of at least 0.001:1, or at least 0.1:1, or at least 0.2:1, or at least 0.5:1, or at least1:1, or at least 2:1, or at least 3:1, or at least 4:1, or at least 5:1, or at least 6:1, or at least 7:1, or at least 8:1, or at least 9:1, or at least 10:1, or at least 15:1, or at least 20:1. Additionally, or alternatively, in an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis oil may have an n-paraffin to i-paraffin weight ratio of not more than 100:1, 7 or not more than 5:1, or not more than 50:1, or not more than 40:1, or not more than 30:1. In an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis oil may have an n-paraffin to i-paraffin weight ratio in the range of 1:1 to 100:1, 4:1 to 100:1, or 15:1 to 100:1. [0164] It should be noted that all of the above-referenced hydrocarbon weight percentages may be determined using gas chromatography-mass spectrometry (GC- MS). [0165] In an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis oil may exhibit a density at 15°C of at least 0.6 g/cm ³ , or at least 0.65 g/cm ³ , or at least 0.7 g/cm ³ . Additionally, or alternatively, in an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis oil may exhibit a density at 15°C of not more than 1 g/cm ³ , or not more than 0.95 g/cm ³ , or not more than 0.9 g/cm ³ , or not more than 0.85 g/cm ³ . In an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis oil exhibits a density at 15°C at a range of 0.6 to 1 g/cm ³ , 0.65 to 0.95 g/cm ³ , or 0.7 to 0.9 g/cm ³ . [0166] In an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis oil may exhibit an API gravity at 15°C of at least 28, or at least 29, or at least 30, or at least 31, or at least 32, or at least 33. Additionally, or alternatively, in an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis oil may exhibit an API gravity at 15°C of not more than 50, or not more than 49, or not more than 48, or not more than 47, or not more than 46, or not more than 45, or not more than 44. In an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis oil exhibits an API gravity at 15°C at a range of 28 to 50, 29 to 58, or 30 to 44. [0167] In an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis oil may have a mid-boiling point of at least 75°C, or at least 80°C, or at least 85°C, or at least 90°C, or at least 95°C, or at least 100°C, or at least 105°C, or at least 110°C, or at least 115°C. The values can be measured according to the procedures described in either according to ASTM D-2887, or in the working examples. A mid-boiling point having the stated value are satisfied if the value is obtained under either method. Additionally, or alternatively, in an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis oil may have a mid-boiling point of not more than 250°C, or not more than 245°C, or not more than 240°C, or not more than 235°C, or not more than 230°C, or not more than 225°C, or not more than 220°C, or not more than 215°C, or not more than 210°C, or not more than 205°C, or not more than 200°C, or not more than 195°C, or not more than 190°C, or not more than 185°C, or not more than 180°C, or not more than 175°C, or not more than 170°C, or not more than 165°C, or not more than 160°C, 1 or not more than 55°C, or not more than 150°C, or not more than 145°C, or not more than 140°C, or not more than 135°C, or not more than 130°C, or not more than 125°C, or not more than 120°C. The values can be measured according to the procedures described in either according to ASTM D-2887, or in the working examples. A mid-boiling point having the stated value are satisfied if the value is obtained under either method. In an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis oil may have a mid-boiling point in the range of 75 to 250°C, 90 to 225°C, or 115 to 190°C. As used herein, “mid-boiling point” refers to the median boiling point temperature of the pyrolysis oil when 50 weight percent of the pyrolysis oil boils above the mid-boiling point and 50 weight percent boils below the mid-boiling point. [0168] In an embodiment or in combination with any of the embodiments mentioned herein, the boiling point range of the pyrolysis oil may be such that not more than 10 percent of the pyrolysis oil has a final boiling point (FBP) of 250°C, 280°C, 290°C, 300°C, or 310°C, to determine the FBP, the procedures described in either according to ASTM D-2887, or in the working examples, can be employed and a FBP having the stated values are satisfied if the value is obtained under either method. [0169] Turning to the pyrolysis gas, the pyrolysis gas can have a methane content of at least 1, or at least 2, or at least 5, or at least 10, or at least 11, or at least 12, or at least 13, or at least 14, or at least 15, or at least 16, or at least 17, or at least 18, or at least 19, or at least 20 weight percent. Additionally, or alternatively, in an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis gas can have a methane content of not more than 50, or not more than 45, or not more than 40, or not more than 35, or not more than 30, or not more than 25, in each case weight percent. In an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis gas can have a methane content in the range of 1 to 50 weight percent, 5 to 50 weight percent, or 15 to 45 weight percent. [0170] In an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis gas can have a C ₃ hydrocarbon content of at least 1, or at least 2, or at least 3, or at least 4, or at least 5, or at least 6, or at least 7, or at least 8, or at least 9, or at least 10, or at least 15, or at least 20, or at least 25, in each case weight percent. Additionally, or alternatively, in an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis gas can have a C3 hydrocarbon content of not more than 50, or not more than 45, or not more than 40, or not more than 35, or not more than 30, in each case weight percent. In an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis gas can have a C3 hydrocarbon content in the range of 1 to 50 weight percent, 5 to 50 weight percent, or 20 to 50 weight percent. [0171] In an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis gas can have a C ₄ hydrocarbon content of at least 1, or at least 2, or at least 3, or at least 4, or at least 5, or at least 6, or at least 7, or at least 8, or at least 9, or at least 10, or at least 11, or at least 12, or at least 13, or at least 14, or at least 15, or at least 16, or at least 17, or at least 18, or at least 19, or at least 20, in each case weight percent. Additionally, or alternatively, in an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis gas can have a C ₄ hydrocarbon content of not more than 50, or not more than 45, or not more than 40, or not more than 35, or not more than 30, or not more than 25, in each case weight percent. In an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis gas can have a C ₄ hydrocarbon content in the range of 1 to 50 weight percent, 5 to 50 weight percent, or 20 to 50 weight percent. [0172] In an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis oils of the present invention may be a recycle content pyrolysis oil composition (r-pyoil). [0173] Various downstream applications that may utilize the above-disclosed pyrolysis oils and/or the pyrolysis gases are described in greater detail below. In an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis oil may be subjected to one or more treatment steps prior to being introduced into downstream units, such as a cracking furnace. Examples of suitable treatment steps can include, but are not limited to, separation of less desirable components (e.g., nitrogen-containing compounds, oxygenates, and/or olefins and aromatics), distillation to provide specific pyrolysis oil compositions, and preheating. [0174] Turning now to FIG. 3, a schematic depiction of a treatment zone for pyrolysis oil according to an embodiment or in combination with any of the embodiments mentioned herein is shown. [0175] As shown in the treatment zone 220 illustrated in FIG. 3, at least a portion of the r-pyoil 252 made from a recycle waste stream 250 in the pyrolysis system 210 may be passed through a treatment zone 220 such as, for example, a separator, which may separate the r-pyoil into a light pyrolysis oil fraction 254 and a heavy pyrolysis oil fraction 256. The separator 220 employed for such a separation can be of any suitable type, including a single-stage vapor liquid separator or “flash” column, or a multi-stage distillation column. The vessel may or may not include internals and may or may not employ a reflux and/or boil-up stream. [0176] In an embodiment or in combination with any of the embodiments mentioned herein, the heavy fraction may have a C ₄ to C ₇ content or a C8+ content of at least 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, or 85 weight percent. The light fraction may include at least about 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, or 85 percent of C ₃ and lighter (C _3- ) or C ₇ and lighter (C _7- ) content. In some embodiments, separator may concentrate desired components into the heavy fraction, such that the heavy fraction may have a C ₄ toC ₇ content or a C8+content that is at least 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 7, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, or 150% greater than the C ₄ to C ₇ content or the C8+content of the pyrolysis oil withdrawn from the pyrolysis zone. As shown in FIG. 3, at least a portion of the heavy fraction may be sent to the cracking furnace 230 for cracking as or as part of the r-pyoil composition to form an olefin-containing effluent 258, as discussed in further detail below. [0177] In an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis oil is hydrotreated in a treatment zone, while, in other embodiments, the pyrolysis oil is not hydrotreated prior to entering downstream units, such as a cracking furnace. In an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis oil is not pretreated at all before any downstream applications and may be sent directly from the pyrolysis oil source. The temperature of the pyrolysis oil exiting the pre-treatment zone can be in the range of 15 to 55°C, 30 to 55°C, 49 to 40°C, 15 to 50°C, 20 to 45°C, or 25 to 40°C. [0178] In an embodiment or in combination with any of the embodiments mentioned herein, the r-pyoil may be combined with the non-recycle cracker stream in order to minimize the amount of less desirable compounds present in the combined cracker feed. For example, when the r-pyoil has a concentration of less desirable compounds (such as, for example, impurities like oxygen-containing compounds, aromatics, or others described herein), the r-pyoil may be combined with a cracker feedstock in an amount such that the total concentration of the less desirable compound in the combined stream is at least 40, 50, 55, 60, 65, 70, 75, 80, 85, 90, or 95 percent less than the original content of the compound in the r-pyoil stream (calculated as the difference between the r-pyoil and combined streams, divided by the r-pyoil content, expressed as a percentage). In some cases, the amount of non- recycle cracker feed to combine with the r-pyoil stream may be determined by comparing the measured amount of the one or more less desirable compounds present in the r-pyoil with a target value for the compound or compounds to determine a difference and, then, based on that difference, determining the amount of non-recycle hydrocarbon to add to the r-pyoil stream. The amounts of r-pyoil and non-recycle hydrocarbon can be within one or more ranges described herein. [0179] At least a portion of the r-ethylene can be derived directly or indirectly from the cracking of r-pyoil. The process for obtaining r-olefins from cracking (r- pyoil) can be as follows and as described in FIG. 4. [0180] Turning now to FIG. 4, a block flow diagram illustrating steps associated with the cracking furnace 20 and separation zones 30 of a system for producing an r- composition obtained from cracking r-pyoil. As shown in FIG. 4, a feed stream comprising r-pyoil (the r-pyoil containing feed stream) may be introduced into a cracking furnace 20, alone or in combination with a non-recycle cracker feed stream. A pyrolysis unit producing r-pyoil can be co-located with the production facility. In other embodiments, the r-pyoil can be sourced from a remote pyrolysis unit and transported to the production facility. [0181] In an embodiment or in combination with any of the embodiments mentioned herein, the r-pyoil containing feed stream may contain r-pyoil in an amount of at least 1, or at least 5, or at least 10, or at least 15, or at least 20, or at least 25, or at least 30, or at least 35, or at least 40, or at least 45, or at least 50, or at least 55, or at least 60, or at least 65, or at least 70, or at least 75, or at least 80, or at least 85, or at least 90, or at least 95, or at least 97, or at least 98, or at least 99, or at least or 100, in each case weight percent and/or not more than 95, or not more than 90, or not more than 85, or not more than 80, or not more than 75, or not more than 70, or not more than 65, or not more than 60, or not more than 55, or not more than 50, or not more than 45, or not more than 40, or not more than 35, or not more than 30, or not more than 25, or not more than 20, in each case weight percent, based on the total weight of the r-pyoil containing feed stream. [0182] In an embodiment or in combination with any of the embodiments mentioned herein, at least 1, or at least 5, or at least 10, or at least 15, or at least 20, or at least 25, or at least 30, or at least 35, or at least 40, or at least 45, or at least 50, or at least 55, or at least 60, or at least 65, or at least 70, or at least 75, or at least 80, or at least 85, or at least 90 or at least 97, or at least 98, or at least 99, or 100, in each case weight percent and/or not more than 95, or not more than 90, or not more than 85, or not more than 80, or not more than 75, or not more than 70, or not more than 65, or not more than 60, or not more than 55, or not more than 50, or not more than 45, or not more than 40, or not more than 35, or not more than 30, or not more than 25, or not more than 20, or not more than 15 or not more than 10, in each case weight percent of the r-pyoil is obtained from the pyrolysis of a waste stream. In an embodiment or in combination with any of the embodiments mentioned herein, at least a portion of the r-pyoil is obtained from pyrolysis of a feedstock comprising plastic waste. Desirably, at least 90, or at least 95, or at least 97, or at least 98, or at least 99, or at least or 100, in each case wt.%, of the r-pyoil is obtained from pyrolysis of a feedstock comprising plastic waste, or a feedstock comprising at least 50 wt.% plastic waste, or a feedstock comprising at least 80 wt.% plastic waste, or a feedstock comprising at least 90 wt.% plastic waste, or a feedstock comprising at least 95 wt.% plastic waste. [0183] In an embodiment or in combination with any of the embodiments mentioned herein, the r-pyoil can have any one or combination of the compositional characteristics described above with respect to pyrolysis oil. [0184] In an embodiment or in combination with any of the embodiments mentioned herein, the r-pyoil may comprise at least 55, or at least 60, or at least 65, or at least 70, or at least 75, or at least 80, or at least 85, or at least 90, or at least 95, in each case weight percent of C ₄ -C ₃₀ hydrocarbons, and as used herein, hydrocarbons include aliphatic, cycloaliphatic, aromatic, and heterocyclic compounds. In an embodiment or in combination with any of the embodiments mentioned herein, the r- pyoil can predominantly comprise C ₅ -C ₂₅ , C ₅ -C ₂₂ , or C ₅ -C ₂₀ hydrocarbons, or may comprise at least 55, 60, 65, 70, 75, 80, 85, 90, or 95 weight percent of C ₅ -C ₂₅ , C ₅ - C ₂₂ , or C ₅ -C ₂₀ hydrocarbons. [0185] In an embodiment or in combination with any embodiment mentioned herein or in combination with any of the mentioned embodiments, the r-pyoil composition can comprise C ₄ -C ₁₂ aliphatic compounds (branched or unbranched alkanes and alkenes including diolefins, and alicyclics) and C ₁₃ -C ₂₂ aliphatic compounds in a weight ratio of more than 1:1, or at least 1.25:1, or at least 1.5:1, or at least 2:1, or at least 2.5:1, or at least 3: 1, or at least 4:1, or at least 5:1, or at least 6:1, or at least 7:1, 10:1, 20:1, or at least 40:1, each by weight and based on the weight of the r-pyoil. [0186] In an embodiment or in combination with any embodiment mentioned herein or in combination with any of the mentioned embodiments, the r-pyoil composition can comprise C ₁₃ -C ₂₂ aliphatic compounds (branched or unbranched alkanes and alkenes including diolefins, and alicyclics) and C ₄ -C ₁₂ aliphatic compounds in a weight ratio of more than 1:1, or at least 1.25:1, or at least 1.5:1, or at least 2:1, or at least 2.5:1, or at least 3:1, or at least 4:1, or at least 5:1, or at least 6:1, or at least 7:1, 10:1, 20:1, or at least 40:1, each by weight and based on the weight of the r-pyoil. [0187] In an embodiment, the two aliphatic hydrocarbons (branched or unbranched alkanes and alkenes, and alicyclics) having the highest concentration in the r-pyoil are in a range of C ₅ -C ₁₈ , or C ₅ -C ₁₆ , or C ₅ -C ₁₄ , or C ₅ -C ₁₀ , or C ₅ -C ₈ , inclusive. [0188] The r-pyoil can include one or more of paraffins, naphthenes or cyclic aliphatic hydrocarbons, aromatics, aromatic containing compounds, olefins, oxygenated compounds and polymers, heteroatom compounds or polymers, and other compounds or polymers. [0189] For example, in an embodiment or in combination with any of the embodiments mentioned herein, the r-pyoil may comprise at least 5, or at least 10, or at least 15, or at least 20, or at least 25, or at least 30, or at least 35, or at least 40, or at least 45, or at least 50, or at least 55, or at least 60, or at least 65, or at least 70, or at least 75, or at least 80, or at least 85, or at least 90, or at least 95, in each case weight percent and/or not more than 99, or not more than 97, or not more than 95, or not more than 93, or not more than 90, or not more than 87, or not more than 85, or not more than 83, or not more than 80, or not more than 78, or not more than 75, or not more than 70, or not more than 65, or not more than 60, or not more than 55, or not more than 50, or not more than 45, or not more than 40, or not more than 35, or not more than 30, or not more than 25, or not more than 20, or not more than 15, in each case weight percent of paraffins (or linear or branched alkanes), based on the total weight of the r-pyoil. In an embodiment or in combination with any of the embodiments mentioned herein, the pyrolysis oil may have a paraffin content in the range of 25 to 90, 35 to 90, or 40 to 80, or 40-70, or 40-65 weight percent, or 5-50, or 5 to 40, or 5 to 35, or 10- to 35, or 10 to 30, or 5 to 25, or 5 to 20, in each case as wt.% based on the weight of the r-pyoil composition. [0190] In an embodiment or in combination with any of the embodiments mentioned herein, the r-pyoil can include naphthenes or cyclic aliphatic hydrocarbons in amount of zero, or at least 1, or at least 2, or at least 5, or at least 8, or at least 10, or at least 15, or at least 20, in each case weight percent and/or not more than 50, or not more than 45, or not more than 40, or not more than 35, or not more than 30, or not more than 25, or not more than 20, or not more than 15, or not more than 10, or not more than 5, or not more than 2, or not more than 1, or not more than 0.5, or no detectable amount, in each case weight percent. In an embodiment or in combination with any of the embodiments mentioned herein, the r-pyoil may have a naphthene content of not more than 5, or not more than 2, or not more than 1 wt.%, or no detectable amount, or naphthenes. Examples of ranges for the amount of naphthenes (or cyclic aliphatic hydrocarbons) contained in the r-pyoil is from 0-35, or 0-30, or 0- 25, or 2-20, or 2-15, or 2-10, or 1-10, in each case as wt.% based on the weight of the r-pyoil composition. [0191] In one embodiment or in combination with any of the mentioned embodiments, the r-pyoil comprises not more than 30, or not more than 25, or not more than 20, or not more than 15, or not more than 10, or not more than 8, or not more than 5, or not more than 2, or not more than 1, in each case weight percent of aromatics, based on the total weight of the r-pyoil. As used herein, the term “aromatics” refers to the total amount (in weight) of benzene, toluene, xylene, and styrene. The r-pyoil may include at least 1, or at least 2, or at least 5, or at least 8, or at least 10, in each case weight percent of aromatics, based on the total weight of the r-pyoil. [0192] In one embodiment or in combination with any of the mentioned embodiments or in combination with any of the embodiments mentioned herein, the r- pyoil can include aromatic containing compounds in an amount of not more than 30, or not more than 25, or not more than 20, or not more than 15, or not more than 10, or not more than 8, or not more than 5, or not more than 2, or not more than 1, in each case weight, or not detectable, based on the total weight of the r-pyoil. Aromatic containing compounds includes the above-mentioned aromatics and any compounds containing an aromatic moiety, such as terephthalate residues and fused ring aromatics such as the naphthalenes and tetrahydronaphthalene. [0193] In an embodiment or in combination with any of the embodiments mentioned herein, the r-pyoil can include olefins in amount of at least 1, or at least 2, or at least 5, or at least 8, or at least 10, or at least 15, or at least 20, or at least 30, or at least 40, or at least 45, or at least 50, or at least 55, or at least 60, or at least or at least 65, in each case weight percent olefins and/or not more than 85, or not more than 80, or not more than 75, or not more than 70, or not more than 65, or not more than 60, or not more than 55, or not more than 50, or not more than 45, or not more than 40, or not more than 35, or not more than 30, or not more than 25, or not more than 20, or not more than 15, or not more than 10, in each case weight percent, based on the weight of a r-pyoil. Olefins include mono- and di-olefins. Examples of suitable ranges include olefins present in an amount ranging from 5 to 45, or 10-35, or 15 to 30, or 40-85, or 45-85, or 50-85, or 55-85, or 60-85, or 65-85, or 40-80, or 45-80, or 50-80, or 55-80, or 60-80, or 65-80, 45-80, or 50-80, or 55-80, or 60-80, or 65-80, or 40-75, or 45-75, or 50-75, or 55-75, or 60-75, or 65-75, or 40-70, or 45-70, or 50-70, or 55-70, or 60-70, or 65-70, or 40-65, or 45-65, or 50-65, or 55-65, in each case as wt.% based on the weight of the r-pyoil. [0194] In an embodiment or in combination with any of the embodiments mentioned herein, the r-pyoil can include oxygenated compounds or polymers in amount of zero or at least 0.01, or at least 0.1, or at least 1, or at least 2, or at least 5, in each case weight percent and/or not more than 20, or not more than 15, or not more than 10, or not more than 8, or not more than 6, or not more than 5, or not more than 3, or not more than 2, in each case weight percent oxygenated compounds or polymers, based on the weight of a r-pyoil. Oxygenated compounds and polymers are those containing an oxygen atom. Examples of suitable ranges include oxygenated compounds present in an amount ranging from 0-20, or 0-15, or 0-10, or 0.01-10, or 1-10, or 2-10, or 0.01-8, or 0.1-6, or 1-6, or 0.01-5, in each case as wt.% based on the weight of the r-pyoil. [0195] In an embodiment or in combination with any embodiment mentioned herein or in combination with any of the mentioned embodiments, the amount of oxygen atoms in the r-pyoil can be not more than 10, or not more than 8, or not more than 5, or not more than 4, or not more than 3, or not more than 2.75, or not more than 2.5, or not more than 2.25, or not more than 2, or not more than 1.75, or not more than 1.5, or not more than 1.25, or not more than 1, or not more than 0.75, or not more than 0.5, or not more than 0.25, or not more than 0.1, or not more than 0.05, in each case wt.%, based on the weight of the r-pyoil. Examples of the amount of oxygen in the r- pyoil can be from 0-8, or 0-5, or 0-3, or 0-2.5 or 0-2, or 0.001-5, or 0.001-4, or 0.001- 3, or 0.001-2.75, or 0.001-2.5, or 0.001-2, or 0.001-1.5, or 0.001-1, or 0.001-0.5, or 0.001-.1, in each case as wt.% based on the weight of the r-pyoil. [0196] In an embodiment or in combination with any of the embodiments mentioned herein, the r-pyoil can include heteroatom compounds or polymers in amount of at least 1, or at least 2, or at least 5, or at least 8, or at least 10, or at least 15, or at least 20, in each case weight percent and/or not more than 25, or not more than 20, or not more than 15, or not more than 10, or not more than 8, or not more than 6, or not more than 5, or not more than 3, or not more than 2, in each case weight percent, based on the weight of a r-pyoil. A heterocompound or polymer is defined in this paragraph as any compound or polymer containing nitrogen, sulfur, or phosphorus. Any other atom is not regarded as a heteroatom for purposes of determining the quantity of heteroatoms, heterocompounds, or heteropolymers present in the r-pyoil. The r-pyoil can contain heteroatoms present in an amount of not more than 5, or not more than 4, or not more than 3, or not more than 2.75, or not more than 2.5, or not more than 2.25, or not more than 2, or not more than 1.75, or not more than 1.5, or not more than 1.25, or not more than 1, or not more than 0.75, or not more than 0.5, or not more than 0.25, or not more than 0.1, or not more than 0.075, or not more than 0.05, or not more than 0.03, or not more than 0.02, or not more than 0.01, or not more than 0.008, or not more than 0.006, or not more than 0.005, or not more than 0.003, or not more than 0.002, in each case wt.%, based on the weight of the r-pyoil. [0197] In an embodiment or in combination with any embodiment mentioned herein or in combination with any of the embodiments mentioned herein, the solubility of water in the r-pyoil at 1 atm and 25°C is less than 2 wt.%, water, or not more than 1.5, or not more than 1, or not more than 0.5, or not more than 0.1, or not more than 0.075, or not more than 0.05, or not more than 0.025, or not more than 0.01, or not more than 0.005, in each case wt.% water based on the weight of the r- pyoil. Desirably, the solubility of water in the r-pyoil is not more than 0.1 wt.% based on the weight of the r-pyoil. In an embodiment or in combination with any embodiment mentioned herein or in combination with any of the embodiments mentioned herein, the r-pyoil contains not more than 2 wt.%, water, or not more than 1.5, or not more than 1, or not more than 0.5, desirably or not more than 0.1, or not more than 0.075, or not more than 0.05, or not more than 0.025, or not more than 0.01, or not more than 0.005, in each case wt.% water based on the weight of the r- pyoil. [0198] In an embodiment or in combination with any embodiment mentioned herein or in combination with any of the embodiments mentioned herein, the solids content in the r-pyoil does not exceed 1, or is not more than 0.75, or not more than 0.5, or not more than 0.25, or not more than 0.2, or not more than 0.15, or not more than 0.1, or not more than 0.05, or not more than 0.025, or not more than 0.01, or not more than 0.005, or does not exceed 0.001, in each case wt.% solids based on the weight of the r-pyoil. [0199] In an embodiment or in combination with any embodiment mentioned herein or in combination with any of the embodiments mentioned herein the sulfur content of the r-pyoil does not exceed 2.5 wt.%, or is not more than 2, or not more than 1.75, or not more than 1.5, or not more than 1.25, or not more than 1, or not more than 0.75, or not more than 0.5, or not more than 0.25, or not more than 0.1, or not more than 0.05, desirably or not more than 0.03, or not more than 0.02, or not more than 0.01, or not more than 0.008, or not more than 0.006, or not more than 0.004, or not more than 0.002, or is not more than 0.001, in each case wt.% based on the weight of the r-pyoil. [0200] In an embodiment or in combination with any embodiment mentioned herein or in combination with any of the embodiments mentioned herein, the r-pyoil can have the following compositional content: (i) carbon atom content of at least 75 wt.%, or at least or at least77, or at least 80, or at least 82, or at least 85, in each case wt.%, and/or up to 90, or up to 88, or not more than 86, or not more than 85, or not more than 83, or not more than 82, or not more than 80, or not more than 77, or not more than 75, or not more than 73, or not more than 70, or not more than 68, or not more than 65, or not more than 63, or up to 60, in each case wt.%, desirably at least 82% and up to 93%, and/or (ii) hydrogen atom content of at least 10 wt.%, or at least 13, or at least 14, or at least 15, or at least 16, or at least 17, or at least 18, or not more than 19, or not more than 18, or not more than 17, or not more than 16, or not more than 15, or not more than 14, or not more than 13, or up to 11, in each case wt.%, (iii) an oxygen atom content not to exceed 10, or not more than 8, or not more than 5, or not more than 4, or not more than 3, or not more than 2.75, or not more than 2.5, or not more than 2.25, or not more than 2, or not more than 1.75, or not more than 1.5, or not more than 1.25, or not more than 1, or not more than 0.75, or not more than 0.5, or not more than 0.25, or not more than 0.1, or not more than 0.05, in each case wt.%, in each case based on the weight of the r-pyoil. [0201] In an embodiment or in combination with any embodiment mentioned herein or in combination with any of the mentioned embodiments, the amount of hydrogen atoms in the r-pyoil can be in a range of from 10-20, or 10-18, or 11-17, or 12-16 or 13-16, or 13-15, or 12-15, in each case as wt.% based on the weight of the r- pyoil. [0202] In an embodiment or in combination with any embodiment mentioned herein or in combination with any of the embodiments mentioned herein, the metal content of the r-pyoil is desirably low, for example, not more than 2 wt.%, or not more than 1, or not more than 0.75, or not more than 0.5, or not more than 0.25, or not more than 0.2, or not more than 0.15, or not more than 0.1, or not more than 0.05, in each case wt.% based on the weight of the r-pyoil. [0203] In one embodiment or in combination with any of the mentioned embodiments or in combination with any of the embodiments mentioned herein, the weight ratio of paraffin to naphthene in the r-pyoil can be at least 1:1, or at least 1.5:1, or at least 2:1, or at least 2.2:1, or at least 2.5:1, or at least 2.7:1, or at least 3:1, or at least 3.3:1, or at least 3.5:1, or at least 3.75:1, or at least 4:1, or at least 4.25:1, or at least 4.5:1, or at least 4.75:1, or at least 5:1, or at least 6:1, or at least 7:1, or at least 8:1, or at least 9:1, or at least 10:1, or at least 13:1, or at least 15:1, or at least 17:1, based on the weight of the r-pyoil. [0204] In an embodiment or in combination with any embodiment mentioned herein or in combination with any of the embodiments mentioned herein, the weight ratio of paraffin and naphthene combined to aromatics can be at least 1:1, or at least 1.5:1, or at least 2:1, or at least 2.5:1, or at least 2.7:1, or at least 3:1, or at least 3.3:1, or at least 3.5:1, or at least 3.75:1, or at least 4:1, or at least 4.5:1, or at least 5:1, or at least 7:1, or at least 10:1, or at least 15:1, or at least 20:1, or at least 25:1, or at least 30:1, or at least 35:1, or at least 40:1, based on the weight of the r-pyoil. In an embodiment or in combination with any embodiment mentioned herein or in combination with any of the mentioned embodiments, the ratio of paraffin and naphthene combined to aromatics in the r-pyoil can be in a range of from 50:1-1:1, or 40:1-1:1, or 30:1-1:1, or 20:1-1:1, or 30:1-3:1, or 20:1-1:1, or 20:1-5:1, or 50:1-5:1, or 30:1-5:1, or 1:1-7:1, or 1:1-5:1, 1:1-4:1, or 1:1-3:1. [0205] In an embodiment or in combination with any of the embodiments mentioned herein, the r-pyoil may have a boiling point curve defined by one or more of its 10%, its 50%, and its 90% boiling points, as defined below. As used herein, “boiling point” refers to the boiling point of a composition as determined by ASTM D2887 or according to the procedure described in the working examples. A boiling point having the stated values are satisfied if the value is obtained under either method. Additionally, as used herein, an “x% boiling point,” refers to a boiling point at which x percent by weight of the composition boils per either of these methods. [0206] As used throughout, an x% boiling at a stated temperature means at least x% of the composition boils at the stated temperature. In an embodiment or in combination with any of the embodiments mentioned herein, the 90% boiling point of the cracker feed stream or composition can be not more than 350, or not more than 325, or not more than 300, or not more than 295, or not more than 290, or not more than 285, or not more than 280, or not more than 275, or not more than 270, or not more than 265, or not more than 260, or not more than 255, or not more than 250, or not more than 245, or not more than 240, or not more than 235, or not more than 230, or not more than 225, or not more than 220, or not more than 215, not more than 200, not more than 190, not more than 180, not more than 170, not more than 160, not more than 150, or not more than 140, in each case °C and/or at least 200, or at least 205, or at least 210, or at least 215, or at least 220, or at least 225, or at least 230, in each case °C and/or not more than 25, 20, 15, 10, 5, or 2 weight percent of the r-pyoil may have a boiling point of 300°C or higher. [0207] Referring again to FIG. 3, the r-pyoil may be introduced into a cracking furnace or coil or tube alone (e.g., in a stream comprising at least 85, or at least 90, or at least 95, or at least 99, or 100, in each case wt.% percent pyrolysis oil based on the weight of the cracker feed stream), or combined with one or more non-recycle cracker feed streams. When introduced into a cracker furnace, coil, or tube with a non- recycle cracker feed stream, the r-pyoil may be present in an amount of at least 1, or at least 2, or at least 5, or at least 8, or at least 10, or at least 12, or at least 15, or at least 20, or at least 25, or at least 30, in each case wt.% and/or not more than 40, or not more than 35, or not more than 30, or not more than 25, or not more than 20, or not more than 15, or not more than 10, or not more than 8, or not more than 5, or not more than 2, in each case weight percent based on the total weight of the combined stream. Thus, the non-recycle cracker feed stream or composition may be present in the combined stream in an amount of at least 20, or at least 25, or at least 30, or at least 35, or at least 40, or at least 45, or at least 50, or at least 55, or at least 60, or at least 65, or at least 70, or at least 75, or at least 80, or at least 85, or at least 90, in each case weight percent and/or not more than 99, or not more than 95, or not more than 90, or not more than 85, or not more than 80, or not more than 75, or not more than 70, or not more than 65, or not more than 60, or not more than 55, or not more than 50, or not more than 45, or not more than 40, in each case weight percent based on the total weight of the combined stream. Unless otherwise noted herein, the properties of the cracker feed stream as described below apply either to the non- recycle cracker feed stream prior to (or absent) combination with the stream comprising r-pyoil, as well as to a combined cracker stream including both a non- recycle cracker feed and a r-pyoil feed. [0208] In an embodiment or in combination with any of the embodiments mentioned herein, the cracker feed stream may comprise a predominantly C ₂ -C ₄ hydrocarbon containing composition, or a predominantly C ₅ -C ₂₂ hydrocarbon containing composition. As used herein, the term “predominantly C ₂ -C ₄ hydrocarbon,” refers to a stream or composition containing at least 50 weight percent of C ₂ -C ₄ hydrocarbon components. Examples of specific types of C ₂ -C ₄ hydrocarbon streams or compositions include propane, ethane, butane, and LPG. In an embodiment or in combination with any of the embodiments mentioned herein, the cracker feed may comprise at least 50, or at least 55, or at least 60, or at least 65, or at least 70, or at least 75, or at least 80, or at least 85, or at least 90, or at least 95, in each case wt.% based on the total weight of the feed, and/or not more than 100, or not more than 99, or not more than 95, or not more than 92, or not more than 90, or not more than 85, or not more than 80, or not more than 75, or not more than 70, or not more than 65, or not more than 60, in each case weight percent C ₂ -C ₄ hydrocarbons or linear alkanes, based on the total weight of the feed. The cracker feed can comprise predominantly propane, predominantly ethane, predominantly butane, or a combination of two or more of these components. These components may be non- recycle components. The cracker feed can comprise predominantly propane, or at least 50 mole% propane, or at least 80 mole% propane, or at least 90 mole% propane, or at least 93 mole% propane, or at least 95 mole% propane (inclusive of any recycle streams combined with virgin feed). The cracker feed can comprise HD5 quality propane as a virgin or fresh feed. The cracker can comprise at more than 50 mole% ethane, or at least 80 mole% ethane, or at least 90 mole% ethane, or at least 95 mole% ethane. These components may be non-recycle components. [0209] In an embodiment or in combination with any of the embodiments mentioned herein, the cracker feed stream may comprise a predominantly C ₅ -C ₂₂ hydrocarbon containing composition. As used herein, “predominantly C ₅ -C ₂₂ hydrocarbon” refers to a stream or composition comprising at least 50 weight percent of C ₅ -C ₂₂ hydrocarbon components. Examples include gasoline, naphtha, middle distillates, diesel, kerosene. In an embodiment or in combination with any of the embodiments mentioned herein, the cracker feed stream or composition may comprise at least 20, or at least 25, or at least 30, or at least 35, or at least 40, or at least 45, or at least 50, or at least 55, or at least 60, or at least 65, or at least 70, or at least 75, or at least 80, or at least 85, or at least 90, or at least 95, in each case wt.% and/or not more than 100, or not more than 99, or not more than 95, or not more than 92, or not more than 90, or not more than 85, or not more than 80, or not more than 75, or not more than 70, or not more than 65, or not more than 60, in each case weight percent C ₅ -C ₂₂ , or C ₅ -C ₂₀ hydrocarbons, based on the total weight of the stream or composition. In an embodiment or in combination with any of the embodiments mentioned herein, the cracker feed may have a C ₁₅ and heavier (C ₁₅ +) content of at least 0.5, or at least 1, or at least 2, or at least 5, in each case weight percent and/or not more than 40, or not more than 35, or not more than 30, or not more than 25, or not more than 20, or not more than 18, or not more than 15, or not more than 12, or not more than 10, or not more than 5, or not more than 3, in each case weight percent, based on the total weight of the feed. [0210] The cracker feed may have a boiling point curve defined by one or more of its 10%, its 50%, and its 90% boiling points, the boiling point being obtained by the methods described above Additionally, as used herein, an “x% boiling point,” refers to a boiling point at which x percent by weight of the composition boils per the methods described above. In an embodiment or in combination with any of the embodiments mentioned herein, the 90% boiling point of the cracker feed stream or composition can be not more than 360, or not more than 355, or not more than 350, or not more than 345, or not more than 340, or not more than 335, or not more than 330, or not more than 325, or not more than 320, or not more than 315, or not more than 300, or not more than 295, or not more than 290, or not more than 285, or not more than 280, or not more than 275, or not more than 270, or not more than 265, or not more than 260, or not more than 255, or not more than 250, or not more than 245, or not more than 240, or not more than 235, or not more than 230, or not more than 225, or not more than 220, or not more than 215, in each case °C and/or at least 200, or at least 205, or at least 210, or at least 215, or at least 220, or at least 225, or at least 230, in each case °C. [0211] In an embodiment or in combination with any of the embodiments mentioned herein, the 10% boiling point of the cracker feed stream or composition can be at least 40, at least 50, at least 60, at least 70, at least 80, at least 90, at least 100, at least 110, at least 120, at least 130, at least 140, at least 150, or at least 155, in each case °C and/or not more than 250, not more than 240, not more than 230, not more than 220, not more than 210, not more than 200, not more than 190, not more than 180, or not more than 170 in each case °C. [0212] In an embodiment or in combination with any of the embodiments mentioned herein, the 50% boiling point of the cracker feed stream or composition can be at least 60, at least 65, at least 70, at least 75, at least 80, at least 85, at least 90, at least 95, at least 100, at least 110, at least 120, at least 130, at least 140, at least 150, at least 160, at least 170, at least 180, at least 190, at least 200, at least 210, at least 220, or at least 230, in each case °C, and/or not more than 300, not more than 290, not more than 280, not more than 270, not more than 260, not more than 250, not more than 240, not more than 230, not more than 220, not more than 210, not more than 200, not more than 190, not more than 180, not more than 170, not more than 160, not more than 150, or not more than 145°C. The 50% boiling point of the cracker feed stream or composition can be in the range of 65 to 160, 70 to 150, 80 to 145, 85 to 140, 85 to 230, 90 to 220, 95 to 200, 100 to 190, 110 to 180, 200 to 300, 210 to 290, 220 to 280, 230 to 270, in each case in °C. [0213] In an embodiment or in combination with any of the embodiments mentioned herein, the 90% boiling point of the cracker feedstock or stream or composition can be at least 350°C, the 10% boiling point can be at least 60°C; and the 50% boiling point can be in the range of from 95°C to 200°C. In an embodiment or in combination with any of the embodiments mentioned herein, the 90% boiling point of the cracker feedstock or stream or composition can be at least 150°C, the 10% boiling point can be at least 60°C, and the 50% boiling point can be in the range of from 80 to 145°C. In an embodiment or in combination with any of the embodiments mentioned herein, the cracker feedstock or stream has a 90% boiling point of at least 350°C, a 10% boiling point of at least 150°C, and a 50% boiling point in the range of from 220 to 280°C. [0214] In an embodiment or in combination with any embodiment mentioned herein or in combination with any of the embodiments mentioned herein, the r-pyoil is cracked in a gas furnace. A gas furnace is a furnace having at least one coil which receives (or operated to receive), at the inlet of the coil at the entrance to the convection zone, a predominately vapor-phase feed (more than 50% of the weight of the feed is vapor) (“gas coil”). In an embodiment or in combination with any embodiment mentioned herein or in combination with any of the mentioned embodiments, the gas coil can receive a predominately C ₂ -C ₄ feedstock, or a predominately a C ₂ -C ₃ feedstock to the inlet of the coil in the convection section, or alternatively, having at least one coil receiving more than 50 wt.% ethane and/or more than 50% propane and/or more than 50% LPG, or in any one of these cases at least 60 wt.%, or at least 70 wt.%, or at least 80 wt.%, based on the weight of the cracker feed to the coil, or alternatively based on the weight of the cracker feed to the convection zone. The gas furnace may have more than one gas coil. In an embodiment or in combination with any embodiment mentioned herein or in combination with any of the mentioned embodiments, at least 25% of the coils, or at least 50% of the coils, or at least 60% of the coils, or all the coils in the convection zone or within a convection box of the furnace are gas coils. In an embodiment or in combination with any embodiment mentioned herein or in combination with any of the mentioned embodiments, the gas coil receives, at the inlet of the coil at the entrance to the convection zone, a vapor-phase feed in which at least 60 wt.%, or at least 70 wt.%, or at least 80 wt.%, or at least 90 wt.%, or at least 95 wt.%, or at least 97 wt.%, or at least 98 wt.%, or at least 99 wt.%, or at least 99.5 wt.%, or at least 99.9 wt.% of feed is vapor. [0215] In an embodiment or in combination with any embodiment mentioned herein or in combination with any of the mentioned embodiments, the r-pyoil is cracked in a split furnace. A split furnace is a type of gas furnace. A split furnace contains at least one gas coil and at least one liquid coil within the same furnace, or within the same convection zone, or within the same convection box. A liquid coil is a coil which receives, at the inlet of coil at the entrance to the convection zone, a predominately liquid phase feed (more than 50% of the weight of the feed is liquid) (“liquid coil”). In an embodiment or in combination with any embodiment mentioned herein or in combination with any of the mentioned embodiments, the liquid coil can receive a predominately C ₅₊ feedstock to the inlet of the coil at the entrance of the convection section (“liquid coil”). In an embodiment or in combination with any embodiment mentioned herein or in combination with any of the mentioned embodiments, the liquid coil can receive a predominately C ₆ -C ₂₂ feedstock, or a predominately a C ₇ -C ₁₆ feedstock to the inlet of the coil in the convection section, or alternatively, having at least one coil receiving more than 50 wt.% naphtha, and/or more than 50% natural gasoline, and/or more than 50% diesel, and/or more than JP-4, and/or more than 50% Stoddard Solvent, and/or more than 50% kerosene, and/or more than 50% fresh creosote, and/or more than 50% JP-8 or Jet-A, and/or more than 50% heating oil, and/or more than 50% heavy fuel oil, and/or more than 50% bunker C, and/or more than 50% lubricating oil, or in any one of these cases at least 60 wt.%, or at least 70 wt.%, or at least 80 wt.%, or at least 90 wt.%, or at least 95 wt.%, or at least 98 wt.%, or at least 99 wt.%, based on the weight of the cracker feed to the liquid coil, or alternatively based on the weight of the cracker feed to the convection zone. In an embodiment or in combination with any embodiment mentioned herein or in combination with any of the mentioned embodiments, at least one coil and not more than 75% of the coils, or not more than 50% of the coils, or not more than at least 40% of the coils in the convection zone or within a convection box of the furnace are liquid coils. In an embodiment or in combination with any embodiment mentioned herein or in combination with any of the mentioned embodiments, the liquid coil receives, at the inlet of the coil at the entrance to the convection zone, a liquid-phase feed in which at least 60 wt.%, or at least 70 wt.%, or at least 80 wt.%, or at least 90 wt.%, or at least 95 wt.%, or at least 97 wt.%, or at least 98 wt.%, or at least 99 wt.%, or at least 99.5 wt.%, or at least 99.9 wt.% of feed is liquid. [0216] In an embodiment or in combination with any embodiment mentioned herein or in combination with any of the mentioned embodiments, the r-pyoil is cracked in a thermal gas cracker. [0217] In an embodiment or in combination with any embodiment mentioned herein or in combination with any of the mentioned embodiments, the r-pyoil is cracked in a thermal steam gas cracker in the presence of steam. Steam cracking refers to the high-temperature cracking (decomposition) of hydrocarbons in the presence of steam. [0218] In an embodiment or in combination with any embodiment mentioned herein or in combination with any of the mentioned embodiments, the r-composition is derived directly or indirectly from cracking r-pyoil in a gas furnace. The coils in the gas furnace can consist entirely of gas coils or the gas furnace can be a split furnace. [0219] When the r-pyoil containing feed stream is combined with the non-recycle cracker feed, such a combination may occur upstream of, or within, the cracking furnace or within a single coil or tube. Alternatively, the r-pyoil containing feed stream and non-recycle cracker feed may be introduced separately into the furnace, and may pass through a portion, or all, of the furnace simultaneously while being isolated from one another by feeding into separate tubes within the same furnace (e.g., a split furnace). Ways of introducing the r-pyoil containing feed stream and the non- recycle cracker feed into the cracking furnace according to an embodiment or in combination with any of the embodiments mentioned herein are described in further detail below. [0220] Turning now to FIG. 5, a schematic diagram of a cracker furnace suitable for use in an embodiment or in combination with any of the embodiments mentioned herein is shown. [0221] In an embodiment or in combination with any embodiment mentioned herein or in combination with any of the mentioned embodiments, although not shown, a vaporizer can be provided to vaporize a condensed feedstock of C2-C ₅ hydrocarbons 350 to ensure that the feed to the inlet of the coils in the convection box 312, or the inlet of the convection zone 310, is a predominately vapor phase feed. [0222] The cracking furnace shown in FIG. 5 includes a convection section or zone 310, a radiant section or zone 320, and a cross-over section or zone 330 located between the convection and radiant sections 310 and 320. The convection section 310 is the portion of the furnace 300 that receives heat from hot flue gases and includes a bank of tubes or coils 324 through which a cracker stream 350 passes. In the convection section 310, the cracker stream 350 is heated by convection from the hot flue gasses passing therethrough. The radiant section 320 is the section of the furnace 300 into which heat is transferred into the heater tubes primarily by radiation from the high-temperature gas. The radiant section 320 also includes a plurality of burners 326 for introducing heat into the lower portion of the furnace. The furnace includes a fire box 322 which surrounds and houses the tubes within the radiant section 320 and into which the burners are oriented. The cross-over section 330 includes piping for connecting the convection 310 and radiant sections 320 and may transfer the heated cracker stream internally or externally from one section to the other within the furnace 300. [0223] As hot combustion gases ascend upwardly through the furnace stack, the gases may pass through the convection section 310, wherein at least a portion of the waste heat may be recovered and used to heat the cracker stream passing through the convection section 310. In an embodiment or in combination with any of the embodiments mentioned herein, the cracking furnace 300 may have a single convection (preheat) section 310 and a single radiant 320 section, while, in other embodiments, the furnace may include two or more radiant sections sharing a common convection section. At least one induced draft (I.D.) fan 316 near the stack may control the flow of hot flue gas and heating profile through the furnace, and one or more heat exchangers 340 may be used to cool the furnace effluent 370. In an embodiment or in combination with any of the embodiments mentioned herein (not shown), a liquid quench may be used in addition to, or alternatively with, the exchanger (e.g., transfer line heat exchanger or TLE) shown in FIG. 5, for cooling the cracked olefin-containing effluent. [0224] The furnace 300 also includes at least one furnace coil 324 through which the cracker streams pass through the furnace. The furnace coils 324 may be formed of any material inert to the cracker stream and suitable for withstanding high temperatures and thermal stresses within the furnace. The coils may have any suitable shape and can, for example, have a circular or oval cross-sectional shape. [0225] The coils in the convection section 310, or tubes within the coil, may have a diameter of at least 1, or at least 1.5, or at least 2, or at least 2.5, or at least 3, or at least 3.5, or at least 4, or at least 4.5, or at least 5, or at least 5.5, or at least 6, or at least 6.5, or at least 7, or at least 7.5, or at least 8, or at least 8.5, or at least 9, or at least 9.5, or at least 10, or at least 10.5, in each case cm and/or not more than 12, or not more than 11.5, or not more than 11, 1 or not more than 0.5, or not more than 10, or not more than 9.5, or not more than 9, or not more than 8.5, or not more than 8, or not more than 7.5, or not more than 7, or not more than 6.5, in each case cm. All or a portion of one or more coils can be substantially straight, or one or more of the coils may include a helical, twisted, or spiral segment. One or more of the coils may also have a U-tube or split U-tube design. In an embodiment or in combination with any of the embodiments mentioned herein, the interior of the tubes may be smooth or substantially smooth, or a portion (or all) may be roughened in order to minimize coking. Alternatively, or in addition, the inner portion of the tube may include inserts or fins and/or surface metal additives to prevent coke build up. [0226] In an embodiment or in combination with any of the embodiments mentioned herein, all or a portion of the furnace coil or coils 324 passing through in the convection section 310 may be oriented horizontally, while all, or at least a portion of, the portion of the furnace coil passing through the radiant section 322 may be oriented vertically. In an embodiment or in combination with any of the embodiments mentioned herein, a single furnace coil may run through both the convection and radiant section. Alternatively, at least one coil may split into two or more tubes at one or more points within the furnace, so that cracker stream may pass along multiple paths in parallel. For example, the cracker stream (including r-pyoil) 350 may be introduced into multiple coil inlets in the convection zone 310, or into multiple tube inlets in the radiant 320 or cross-over sections 330. When introduced into multiple coil or tube inlets simultaneously, or nearly simultaneously, the amount of r-pyoil introduced into each coil or tube may not be regulated. In an embodiment or in combination with any of the embodiments mentioned herein, the r-pyoil and/or cracker stream may be introduced into a common header, which then channels the r- pyoil into multiple coil or tube inlets. [0227] A single furnace can have at least 1, or at least 2, or at least 3, or at least 4, or at least 5, or at least 6, or at least 7, or at least 8 or more, in each case coils. Each coil can be from 5 to 100, 10 to 75, or 20 to 50 meters in length and can include at least 1, or at least 2, or at least 3, or at least 4, or at least 5, or at least 6, or at least 7, or at least 8, or at least 10, or at least 12, or at least 14 or more tubes. Tubes of a single coil may be arranged in many configurations and in an embodiment or in combination with any of the embodiments mentioned herein may be connected by one or more 180° (“U”) bends. One example of a furnace coil 410 having multiple tubes 420 is shown in FIG. 6. [0228] An olefin plant can have a single cracking furnace, or it can have at least 2, or at least 3, or at least 4, or at least 5, or at least 6, or at least 7, or at least 8 or more cracking furnaces operated in parallel. Any one or each furnace(s) may be gas cracker, or a liquid cracker, or a split furnace. In an embodiment or in combination with any embodiment mentioned herein or in combination with any of the mentioned embodiments, the furnace is a gas cracker receiving a cracker feed stream containing at least 50 wt.%, or at least 75 wt.%, or at least 85 wt.% or at least 90 wt.% ethane, propane, LPG, or a combination thereof through the furnace, or through at least one coil in a furnace, or through at least one tube in the furnace, based on the weight of all cracker feed to the furnace. In an embodiment or in combination with any embodiment mentioned herein or in combination with any of the mentioned embodiments, the furnace is a liquid or naphtha cracker receiving a cracker feed stream containing at least 50 wt.%, or at least 75 wt.%, or at least 85 wt.% liquid (when measured at 25°C and 1 atm) hydrocarbons having a carbon number from C ₅ - C ₂₂ . through the furnace, or through at least one coil in a furnace, or through at least one tube in the furnace, based on the weight of all cracker feed to the furnace. In an embodiment or in combination with any embodiment mentioned herein or in combination with any of the mentioned embodiments, the cracker is a split furnace receiving a cracker feed stream containing at least 50 wt.%, or at least 75 wt.%, or at least 85 wt.% or at least 90 wt.% ethane, propane, LPG, or a combination thereof through the furnace, or through at least one coil in a furnace, or through at least one tube in the furnace, and receiving a cracker feed stream containing at least 0.5 wt.%, or at least 0.1 wt.%, or at least 1 wt.%, or at least 2 wt.%, or at least 5 wt.%, or at least 7 wt.%, or at least 10 wt.%, or at least 13 wt.%, or at least 15 wt.%, or at least 20 wt.% liquid and/or r-pyoil (when measured at 25°C and 1 atm), each based on the weight of all cracker feed to the furnace. [0229] Turning now to FIG. 7, several possible locations for introducing the r- pyoil containing feed stream and the non-recycle cracker feed stream into a cracking furnace are shown. [0230] In an embodiment or in combination with any of the embodiments mentioned herein, an r-pyoil containing feed stream 550 may be combined with the non-recycle cracker feed 552 upstream of the convection section to form a combined cracker feed stream 554, which may then be introduced into the convection section 510 of the furnace. Alternatively, or in addition, the r-pyoil containing feed 550 may be introduced into a first furnace coil, while the non-recycle cracker feed 552 is introduced into a separate or second furnace coil, within the same furnace, or within the same convection zone. Both streams may then travel in parallel with one another through the convection section 510 within a convection box 512 , cross-over 530, and radiant section 520 within a radiant box 522, such that each stream is substantially fluidly isolated from the other over most, or all, of the travel path from the inlet to the outlet of the furnace. The pyoil stream introduced into any heating zone within the convection section 510 can flow through the convection section 510 and flow through as a vaporized stream 514b into the radiant box 522. In other embodiments, the r- pyoil containing feed stream 550 may be introduced into the non-recycle cracker stream 552 as it passes through a furnace coil in the convection section 510 flowing into the cross-over section 530 of the furnace to form a combined cracker stream 514a, as also shown in FIG. 7. [0231] In an embodiment or in combination with any embodiment mentioned herein or in combination with any of the mentioned embodiments, the r-pyoil 550 may be introduced into the first furnace coil, or an additional amount introduced into the second furnace coil, at either a first heating zone or a second heating zone as shown in FIG. 7. The r-pyoil 550 may be introduced into the furnace coil at these locations through a nozzle. A convenient method for introducing the feed of r-pyoil is through one or more dilution steam feed nozzles that are used to feed steam into the coil in the convection zone. The service of one or more dilution steam nozzles may be employed to inject r-pyoil, or a new nozzle can be fastened to the coil dedicated to the injection of the r-pyoil. In an embodiment or in combination with any embodiment mentioned herein or in combination with any of the mentioned embodiments, both steam and r-pyoil can be co-fed through a nozzle into the furnace coil downstream of the inlet to the coil and upstream of a crossover, optionally at the first or second heating zone within the convection zone as shown in FIG. 7. [0232] The non-recycle cracker feed stream may be mostly liquid and have a vapor fraction of less than 0.25 by volume, or less than 0.25 by weight, or it may be mostly vapor and have a vapor fraction of at least 0.75 by volume, or at least 0.75 by weight, when introduced into the furnace and/or when combined with the r-pyoil containing feed. Similarly, the r-pyoil containing feed may be mostly vapor or mostly liquid when introduced into the furnace and/or when combined with the non-recycle cracker stream. [0233] Turning back to FIG. 6, the cracker feed stream (either the non-recycle cracker feed stream or when combined with the r-pyoil feed stream) may be introduced into a furnace coil at or near the inlet of the convection section. The cracker feed stream may then pass through at least a portion of the furnace coil in the convection section, and dilution steam may be added at some point in order to control the temperature and cracking severity in the radiant section. The amount of steam added may depend on the furnace operating conditions, including feed type and desired product distribution, but can be added to achieve a steam-to-hydrocarbon ratio in the range of from 0.1 to 1.0, 0.15 to 0.9, 0.2 to 0.8, 0.3 to 0.75, or 0.4 to 0.6. In one embodiment or in combination with any of the mentioned embodiments or in combination with any of the embodiments mentioned herein, the steam may be produced using separate boiler feed water/steam tubes heated in the convection section of the same furnace (not shown in FIG. 4). Steam may be added to the cracker feed (or any intermediate cracker feed stream within the furnace) when the cracker feed stream has a vapor fraction of 0.60 to 0.95, or 0.65 to 0.90, or 0.70 to 0.90. [0234] The heated cracker stream, which usually has a temperature of at least 500, or at least 510, or at least 520, or at least 530, or at least 540, or at least 550, or at least 560, or at least 570, or at least 580, or at least 590, or at least 600, or at least 610, or at least 620, or at least 630, or at least 640, or at least 650, or at least 660, or at least 670, or at least 680, in each case °C and/or not more than 850, or not more than 840, or not more than 830, or not more than 820, or not more than 810, or not more than 800, or not more than 790, or not more than 780, or not more than 770, or not more than 760, or not more than 750, or not more than 740, or not more than 730, or not more than 720, or not more than 710, or not more than 705, or not more than 700, or not more than 695, or not more than 690, or not more than 685, or not more than 680, or not more than 675, or not more than 670, or not more than 665, or not more than 660, or not more than 655, or not more than 650, in each case °C, or in the range of from 500 to 710°C, 620 to 740°C, 560 to 670°C, or 510 to 650°C, may then pass from the convection section of the furnace to the radiant section via the cross-over zone. [0235] In one embodiment or in combination with any of the mentioned embodiments or in combination with any of the embodiments mentioned herein, the r- pyoil containing feed stream may be added to the cracker stream at the cross-over zone. When introduced into the furnace in the cross-over zone, the r-pyoil may be at least partially vaporized or atomized prior to being combined with the cracker stream at the cross-over. [0236] In an embodiment or in combination with any of the embodiments mentioned herein, the vapor-liquid separator 640 may comprise a flash drum, while in other embodiments it may comprise a fractionator. As the stream 614 passes through the vapor-liquid separator 640, a gas stream impinges on a tray and flows through the tray, as the liquid from the tray fall to an underflow 642. The vapor-liquid separator may further comprise a demister or chevron or other device located near the vapor outlet for preventing liquid carry-over into the gas outlet from the vapor-liquid separator 640. [0237] Within the convection section 610, the temperature of the cracker stream may increase by at least 50, 75, 100, 150, 175, 200, 225, 250, 275, or 300°C and/or not more than about 650, 600, 575, 550, 525, 500, 475, 450, 425, 400, 375, 350, 325, 300, or 275°C, so that the passing of the heated cracker stream exiting the convection section 610 through the vapor-liquid separator 640 may be performed at a temperature of least 400, 425, 450, 475, 500, 525, 550, 575, 600, 625, 650°C and/or not more than 800, 775, 750, 725, 700, 675, 650, 625°C. When heavier components are present, at least a portion or nearly all of the heavy components may be removed in the heavy fraction as an underflow 642. At least a portion of the light fraction 644 from the separator 640 may be introduced into the cross-over section or the radiant zone tubes 624 after the separation, alone or in combination with one or more other cracker streams, such as, for example, a predominantly C ₅ -C ₂₂ hydrocarbon stream or a C ₂ -C ₄ hydrocarbon stream. [0238] Referencing FIG. 5 and 6, the cracker feed stream (either the non-recycle cracker feed stream or when combined with the r-pyoil feed stream) 350 and 650 may be introduced into a furnace coil at or near the inlet of the convection section. The cracker feed stream may then pass through at least a portion of the furnace coil in the convection section 310 and 610, and dilution steam 360 and 660 may be added at some point in order to control the temperature and cracking severity in the radiant section 320 and 620. The amount of steam added may depend on the furnace operating conditions, including feed type and desired product distribution, but can be added to achieve a steam-to-hydrocarbon ratio in the range of from 0.1 to 1.0, 0.15 to 0.9, 0.2 to 0.8, 0.3 to 0.75, or 0.4 to 0.6, calculated by weight. In an embodiment or in combination with any of the embodiments mentioned herein, the steam may be produced using separate boiler feed water/steam tubes heated in the convection section of the same furnace (not shown in FIG. 5). Steam 360 and 660 may be added to the cracker feed (or any intermediate cracker feed stream within the furnace) when the cracker feed stream has a vapor fraction of 0.60 to 0.95, or 0.65 to 0.90, or 0.70 to 0.90 by weight, or in one embodiment or in combination with any mentioned embodiments, by volume. [0239] The heated cracker stream, which usually has a temperature of at least 500, or at least 510, or at least 520, or at least 530, or at least 540, or at least 550, or at least 560, or at least 570, or at least 580, or at least 590, or at least 600, or at least 610, or at least 620, or at least 630, or at least 640, or at least 650, or at least 660, or at least 670, or at least 680, in each case °C and/or not more than 850, or not more than 840, or not more than 830, or not more than 820, or not more than 810, or not more than 800, or not more than 790, or not more than 780, or not more than 770, or not more than 760, or not more than 750, or not more than 740, or not more than 730, or not more than 720, or not more than 710, or not more than 705, or not more than 700, or not more than 695, or not more than 690, or not more than 685, or not more than 680, or not more than 675, or not more than 670, or not more than 665, or not more than 660, or not more than 655, or not more than 650, in each case °C, or in the range of from 500 to 710°C, 620 to 740°C, 560 to 670°C, or 510 to 650°C, may then pass from the convection section 610 of the furnace to the radiant section 620 via the cross-over section 630. In an embodiment or in combination with any of the embodiments mentioned herein, the r-pyoil containing feed stream 550 may be added to the cracker stream at the cross-over section 530 as shown in Figure 6. When introduced into the furnace in the cross-over section, the r-pyoil may be at least partially vaporized or atomized prior to being combined with the cracker stream at the cross-over. The temperature of the cracker stream passing through the cross-over 530 or 630 can be at least 400, 425, 450, 475,can be at least or at least 500, or at least 510, or at least 520, or at least 530, or at least 540, or at least 550, or at least 560, or at least 570, or at least 580, or at least 590, or at least 600, or at least 610, or at least 620, or at least 630, or at least 640, or at least 650, or at least 660, or at least 670, or at least 680, in each case °C and/or not more than 850, or not more than 840, or not more than 830, or not more than 820, or not more than 810, or not more than 800, or not more than 790, or not more than 780, or not more than 770, or not more than 760, or not more than 750, or not more than 740, or not more than 730, or not more than 720, or not more than 710, or not more than 705, or not more than 700, or not more than 695, or not more than 690, or not more than 685, or not more than 680, or not more than 675, or not more than 670, or not more than 665, or not more than 660, or not more than 655, or not more than 650, in each case °C, or in the range of from 620 to 740°C, 550 to 680°C, 510 to 630°C. [0240] The resulting cracker feed stream then passes through the radiant section, wherein the r-pyoil containing feed stream is thermally cracked to form lighter hydrocarbons, including olefins such as ethylene, propylene, and/or butadiene. The residence time of the cracker feed stream in the radiant section can be at least 0.1, or at least 0.15, or at least 0.2, or at least 0.25, or at least 0.3, or at least 0.35, or at least 0.4, or at least 0.45, in each case seconds and/or not more than 2, or not more than 1.75, or not more than 1.5, or not more than 1.25, or not more than 1, or not more than 0.9, or not more than 0.8, or not more than 0.75, or not more than 0.7, or not more than 0.65, or not more than 0.6, or not more than 0.5, in each case seconds. The temperature at the inlet of the furnace coil is at least 500, or at least 510, or at least 520, or at least 530, or at least 540, or at least 550, or at least 560, or at least 570, or at least 580, or at least 590, or at least 600, or at least 610, or at least 620, or at least 630, or at least 640, or at least 650, or at least 660, or at least 670, or at least 680, in each case °C and/or not more than 850, or not more than 840, or not more than 830, or not more than 820, or not more than 810, or not more than 800, or not more than 790, or not more than 780, or not more than 770, or not more than 760, or not more than 750, or not more than 740, or not more than 730, or not more than 720, or not more than 710, or not more than 705, or not more than 700, or not more than 695, or not more than 690, or not more than 685, or not more than 680, or not more than 675, or not more than 670, or not more than 665, or not more than 660, or not more than 655, or not more than 650, in each case °C, or in the range of from 550 to 710°C, 560 to 680°C, or 590 to 650°C, or 580 to 750°C, 620 to 720°C, or 650 to 710°C. [0241] The coil outlet temperature can be at least 640, or at least 650, or at least 660, or at least 670, or at least 680, or at least 690, or at least 700, or at least 720, or at least 730, or at least 740, or at least 750, or at least 760, or at least 770, or at least 780, or at least 790, or at least 800, or at least 810, or at least 820, in each case °C and/or not more than 1000, or not more than 990, or not more than 980, or not more than 970, or not more than 960, or not more than 950, or not more than 940, or not more than 930, or not more than 920, or not more than 910, or not more than 900, or not more than 890, or not more than 880, or not more than 875, or not more than 870, or not more than 860, or not more than 850, or not more than 840, or not more than 830, in each case °C, in the range of from 730 to 900°C, 750 to 875°C, or 750 to 850°C.In an embodiment or in combination with any of the embodiments mentioned herein, the mass velocity of the cracker feed stream through at least one, or at least two radiant coils (for clarity as determine across the entire coil as opposed to a tube within a coil) is in the range of 60 to 165 kilograms per second (kg/s) per square meter (m ² ) of cross-sectional area (kg/s/m ² ), 60 to 130 (kg/s/m2), 60 to 110 (kg/s/m2), 70 to 110 (kg/s/m ² ), or 80 to 100 (kg/s/m ² ). When steam is present, the mass velocity is based on the total flow of hydrocarbon and steam. [0242] In one embodiment or in combination with any of the mentioned embodiments or in combination with any of the embodiments mentioned herein, the burners in the radiant zone provide an average heat flux into the coil in the range of from 60 to 160 kW/m ² or 70 to 145 kW/m ² or 75 to 130 kW/m ² . The maximum (hottest) coil surface temperature is in the range of 1035 to 1150°C or 1060 to 1180°C. The pressure at the inlet of the furnace coil in the radiant section is in the range of 1.5 to 8 bar absolute (bara), or 2.5 to 7 bara, while the outlet pressure of the furnace coil in the radiant section is in the range of from 15 to 40 psia, or 15 to 30 psia. The pressure drop across the furnace coil in the radiant section can be from 1.5 to 5 bara, or 1.75 to 3.5 bara, or 1.5 to 3 bara, or 1.5 to 3.5 bara. [0243] In one embodiment or in combination with any of the mentioned embodiments or in combination with any of the embodiments mentioned herein, the yield of olefin – ethylene, propylene, butadiene, or combinations thereof – can be at least 15, or at least 20, or at least 25, or at least 30, or at least 35, or at least 40, or at least 45, or at least 50, or at least 55, or at least 60, or at least 65, or at least 70, or at least 75, or at least 80, in each case percent. As used herein, the term “yield” refers to the mass of product/mass of feedstock x 100%. The olefin-containing effluent stream comprises at least about 30, or at least 40, or at least 50, or at least 60, or at least 70, or at least 75, or at least 80, or at least 85, or at least 90, or at least 95, or at least 97, or at least 99, in each case weight percent of ethylene, propylene, or ethylene and propylene, based on the total weight of the effluent stream. [0244] In one embodiment or in combination with any of the mentioned embodiments, the olefin-containing effluent stream comprises MAPD (methyl acetylene and propadiene). The amount of MAPD can be at least 2 ppm, or at least 5 ppm, or at least 10 ppm, or at least 20 ppm, or at least 50 ppm, or at least 100 ppm, or at least 500 ppm, or at least 1000 ppm, or at least 5000 ppm, or at least 10,000 ppm, based on the total weight of the effluent stream from the furnace. [0245] In one embodiment or in combination with any of the mentioned embodiments, the olefin-containing effluent stream comprises acetylene. The amount of acetylene can be at least 2000 ppm, or at least 5000 ppm, or at least 8000 ppm, or at least 10,000 ppm, based on the total weight of the effluent stream from the furnace. [0246] Turning now to FIG. 9, a block diagram illustrating the main elements of the furnace effluent treatment section are shown. [0247] As shown in FIG. 9, the olefin-containing effluent stream from the cracking furnace 700, which includes recycle content) is cooled rapidly (e.g., quenched) in a transfer line exchange (“TLE”) 680 as shown in FIG. 8 in order to prevent production of large amounts of undesirable by-products and to minimize fouling in downstream equipment, and also to generate steam. In an embodiment or in combination with any of the embodiments mentioned herein, the temperature of the r-composition-containing effluent from the furnace can be reduced by 35 to 485°C, 35 to 375°C, or 90 to 550°C to a temperature of 500 to 760°C. The cooling step is performed immediately after the effluent stream leaves the furnace such as, for example, within 1 to 30, 5 to 20, or 5 to 15 milliseconds. In an embodiment or in combination with any of the embodiments mentioned herein, the quenching step is performed in a quench zone 710 via indirect heat exchange with high-pressure water or steam in a heat exchanger (sometimes called a transfer line exchanger as shown in FIG. 5 as TLE 340 and FIG. 8 as TLE 680), while, in other embodiments, the quench step is carried out by directly contacting the effluent with a quench liquid 712 (as generally shown in FIG. 9). The temperature of the quench liquid can be at least 65, or at least 80, or at least 90, or at least 100, in each case °C and/or not more than 210, or not more than 180, or not more than 165, or not more than 150, or not more than 135, in each case °C. When a quench liquid is used, the contacting may occur in a quench tower and a liquid stream may be removed from the quench tower comprising gasoline and other similar boiling-range hydrocarbon components. In some cases, quench liquid may be used when the cracker feed is predominantly liquid, and a heat exchanger may be used when the cracker feed is predominantly vapor. [0248] The resulting cooled effluent stream is then vapor liquid separated and the vapor is compressed in a compression zone 720, such as in a gas compressor having, for example, between 1 and 5 compression stages with optional inter-stage cooling and liquid removal. The pressure of the gas stream at the outlet of the first set of compression stages is in the range of from 7 to 20 bar gauge (barg), 8.5 to 18 psig (0.6~1.3 barg), or 9.5 to 14 barg. [0249] The resulting compressed stream is then treated in an acid gas removal zone 722 for removal of acid gases, including CO, CO ₂ , and H ₂ S by contact with an acid gas removal agent. Examples of acid gas removal agents can include, but are not limited to, caustic and various types of amines. In an embodiment or in combination with any of the embodiments mentioned herein, a single contactor may be used, while, in other embodiments, a dual column absorber-stripper configuration may be employed. [0250] The treated compressed olefin-containing stream may then be further compressed in another compression zone 724 via a compressor, optionally with inter- stage cooling and liquid separation. The resulting compressed stream, which has a pressure in the range of 20 to 50 barg, 25 to 45 barg, or 30 to 40 barg. Any suitable moisture removal method can be used including, for example, molecular sieves or other similar process to dry the gas in a drying zone 726. The resulting stream 730 may then be passed to the fractionation section, wherein the olefins and other components may be separated in to various high-purity product or intermediate streams. [0251] Turning now to FIG. 10, a schematic depiction of the main steps of the fractionation section is provided. In an embodiment or in combination with any of the embodiments mentioned herein, the initial column of the fractionation train may not be a demethanizer 810, but may be a deethanizer 820, a depropanizer 840, or any other type of column. As used herein, the term “demethanizer,” refers to a column whose light key is methane. Similarly, “deethanizer,” and “depropanizer,” refer to columns with ethane and propane as the light key component, respectively. [0252] As shown in FIG. 10, a feed stream 870 from the quench section may introduced into a demethanizer (or other) column 810, wherein the methane and lighter (CO, CO2, H ₂ ) components 812 are separated from the ethane and heavier components 814. The demethanizer is operated at a temperature of at least -145, or at least -142, or at least -140, or at least -135, in each case °C and/or not more than -120, -125, -130, -135°C. The bottoms stream 814 from the demethanizer column, which includes at least 50, or at least 55, or at least 60, or at least 65, or at least 70, or at least 75, or at least 80, or at least 85, or at least 90, or at least 95 or at least 99, in each case percent of the total amount of ethane and heavier components introduced into the column, is then introduced into a deethanizer column 820, wherein the C ₂ and lighter components 816 are separated from the C ₃ and heavier components 818 by fractional distillation. The de-ethanizer 820 can be operated with an overhead temperature of at least -35, or at least -30, or at least -25, or at least -20, in each case °C and/or not more than -5, -10, -10, -20°C, and an overhead pressure of at least 3, or at least 5, or at least 7, or at least 8, or at least 10, in each case barg and/or not more than 20, or not more than 18, or not more than 17, or not more than 15, or not more than 14, or not more than 13, in each case barg. The deethanizer column 820 recovers at least 60, or at least 65, or at least 70, or at least 75, or at least 80, or at least 85, or at least 90, or at least 95, or at least 97, or at least 99, in each case percent of the total amount of C2 and lighter components introduced into the column in the overhead stream. In an embodiment or in combination with any of the embodiments mentioned herein, the overhead stream 816 removed from the deethanizer column comprises at least 50, or at least 55, or at least 60, or at least 65, or at least 70, or at least 75, or at least 80, or at least 85, or at least 90, or at least 95, in each case weight percent of ethane and ethylene, based on the total weight of the overhead stream. [0253] As shown in FIG. 10, the C2 and lighter overhead stream 816 from the deethanizer 820 is further separated in an ethane-ethylene fractionator column (ethylene fractionator) 830. In the ethane-ethylene fractionator column 830, an ethylene and lighter component stream 822 can be withdrawn from the overhead of the column 830 or as a side stream from the top ½ of the column, while the ethane and any residual heavier components are removed in the bottoms stream 824. The ethylene fractionator 830 may be operated at an overhead temperature of at least -45, or at least -40, or at least -35, or at least -30, or at least -25, or at least -20, in each case °C and/or not more than -15, or not more than -20, or not more than -25, in each case °C, and an overhead pressure of at least 10, or at least 12, or at least 15, in each case barg and/or not more than 25, 22, 20 barg. The overhead stream 822, which is enriched in ethylene, can include at least 70, or at least 75, or at least 80, or at least 85, or at least 90, or at least 95, or at least 97, or at least 98, or at least 99, in each case weight percent ethylene, based on the total weight of the stream and may be sent to downstream processing unit for further processing, storage, or sale. The overhead ethylene stream 822 produced during the cracking of a cracker feedstock containing r- pyoil is a r-ethylene composition or stream. In an embodiment or in combination with any of the embodiments mentioned herein, the r-ethylene stream may be used to make one or more petrochemicals. [0254] The bottoms stream from the ethane-ethylene fractionator 824 may include at least 40, or at least 45, or at least 50, or at least 55, or at least 60, or at least 65, or at least 70, or at least 75, or at least 80, or at least 85, or at least 90, or at least 95, or at least 98, in each case weight percent ethane, based on the total weight of the bottoms stream. All or a portion of the recovered ethane may be recycled to the cracker furnace as additional feedstock, alone or in combination with the r-pyoil containing feed stream, as discussed previously. [0255] The liquid bottoms stream 818 withdrawn from the deethanizer column, which may be enriched in C ₃ and heavier components, may be separated in a depropanizer 840, as shown in FIG. 10. In the depropanizer 840, C3 and lighter components are removed as an overhead vapor stream 826, while C ₄ and heavier components may exit the column in the liquid bottoms 828. The depropanizer 840 can be operated with an overhead temperature of at least 20, or at least 35, or at least 40, in each case °C and/or not more than 70, 65, 60, 55°C, and an overhead pressure of at least 10, or at least 12, or at least 15, in each case barg and/or not more than 20, or not more than 17, or not more than 15, in each case barg. The depropanizer column 840 recovers at least 60, or at least 65, or at least 70, or at least 75, or at least 80, or at least 85, or at least 90, or at least 95, or at least 97, or at least 99, in each case percent of the total amount of C ₃ and lighter components introduced into the column in the overhead stream 826. In an embodiment or in combination with any of the embodiments mentioned herein, the overhead stream 826 removed from the depropanizer column 840 comprises at least or at least 50, or at least 55, or at least 60, or at least 65, or at least 70, or at least 75, or at least 80, or at least 85, or at least 90, or at least 95, or at least 98, in each case weight percent of propane and propylene, based on the total weight of the overhead stream 826. [0256] The overhead stream 826 from the depropanizer 840 are introduced into a propane-propylene fractionator (propylene fractionator) 860, wherein the propylene and any lighter components are removed in the overhead stream 832, while the propane and any heavier components exit the column in the bottoms stream 834. The propylene fractionator 860 may be operated at an overhead temperature of at least 20, or at least 25, or at least 30, or at least 35, in each case °C and/or not more than 55, 50, 45, 40°C, and an overhead pressure of at least 12, or at least 15, or at least 17, or at least 20, in each case barg and/or not more than 20, or not more than 17, or not more than 15, or not more than 12, in each case barg. The overhead stream 860, which is enriched in propylene, can include at least 70, or at least 75, or at least 80, or at least 85, or at least 90, or at least 95, or at least 97, or at least 98, or at least 99, in each case weight percent propylene, based on the total weight of the stream and may be sent to downstream processing unit for further processing, storage, or sale. The overhead propylene stream produced during the cracking of a cracker feedstock containing r-pyoil is a r-propylene composition or stream. In an embodiment or in combination with any of the embodiments mentioned herein, the stream may be used to make one or more petrochemicals. [0257] The bottoms stream 834 from the propane-propylene fractionator 860 may include at least 40, or at least 45, or at least 50, or at least 55, or at least 60, or at least 65, or at least 70, or at least 75, or at least 80, or at least 85, or at least 90, or at least 95, or at least 98, in each case weight percent propane, based on the total weight of the bottoms stream 834. All or a portion of the recovered propane may be recycled to the cracker furnace as additional feedstock, alone or in combination with r-pyoil, as discussed previously. [0258] Referring again to FIG. 10, the bottoms stream 828 from the depropanizer column 840 may be sent to a debutanizer column 850 for separating C ₄ components, including butenes, butanes and butadienes, from C ₅ + components. The debutanizer can be operated with an overhead temperature of at least 20, or at least 25, or at least 30, or at least 35, or at least 40, in each case °C and/or not more than 60, or not more than 65, or not more than 60, or not more than 55, or not more than 50, in each case °C and an overhead pressure of at least 2, or at least 3, or at least 4, or at least 5, in each case barg and/or not more than 8, or not more than 6, or not more than 4, or not more than 2, in each case barg. The debutanizer column recovers at least 60, or at least 65, or at least 70, or at least 75, or at least 80, or at least 85, or at least 90, or at least 95, or at least 97, or at least 99, in each case percent of the total amount of C ₄ and lighter components introduced into the column in the overhead stream 836. In an embodiment or in combination with any of the embodiments mentioned herein, the overhead stream 836 removed from the debutanizer column comprises at least 30, or at least 35, or at least 40, or at least 45, or at least 50, or at least 55, or at least 60, or at least 65, or at least 70, or at least 75, or at least 80, or at least 85, or at least 90, or at least 95, in each case weight percent of butadiene, based on the total weight of the overhead stream. The overhead stream 836 produced during the cracking of a cracker feedstock containing r-pyoil is a r-butadiene composition or stream. The bottoms stream 838 from the debutanizer includes mainly C ₅ and heavier components, in an amount of at least 50, or at least 60, or at least 70, or at least 80, or at least 90, or at least 95 weight percent, based on the total weight of the stream. The debutanizer bottoms stream 838 may be sent for further separation, processing, storage, sale or use. [0259] The overhead stream 836 from the debutanizer, or the C ₄ s, can be subjected to any conventional separation methods such as extraction or distillation processes to recover a more concentrated stream of butadiene. THE PVA PROCESS [0260] In one embodiment or in combination with any of the mentioned embodiments, there is now provided a method for processing pr-A by feeding the pr- A to a reactor in which is made poly(vinyl acetal)s or a PVA composition. In another embodiment, there is provided a method for making a r-PVA or pr-PVA by reacting pr-A with an aldehyde composition to produce a PVA effluent, optionally containing a pr-PVA composition. There is also provided a r-PVA or pr-PVA, having a monomer derived from a pr-A composition. There is also provided a r-PVA, and a monolithic interlayer made thereby, and other articles made thereby. [0261] In one embodiment or in combination with any of the mentioned embodiments, r-PVA compositions and resins can be resinous products prepared by condensing, in the presence of an acid catalyst, an r-A or a pr-A with either all or part of the hydroxyl groups of PVOH or of an incompletely hydrolyzed polyvinyl ester. Optionally, at least a portion of the r-A or pr-A is derived directly or indirectly from the cracking of r-pyoil. [0262] The r-PVA resins typically have a residual hydroxyl content, an ester content, and an acetal content. The residual hydroxyl content (calculated as PVOH) refers to the weight percent of moieties having a hydroxyl group remaining on the polymer chains. For example, r-PVA can be manufactured by hydrolyzing poly(vinyl acetate) to PVOH, and then reacting the PVOH with a r-A or pr-A, such as r- acetaldehyde, r-propionaldehyde, r-butyraldehyde, pr-acetaldehyde, pr- propionaldehyde, pr-butyraldehyde, and the like, and desirably r-butyraldehyde or pr- butyraldehyde, to make a polymer having repeating vinyl butyral units. Higher carbon number aldehydes (C5-10) may be employed, or they may also be employed in combination with the lower carbon number aldehydes. For example, 2-ethylhexanal may be employed as an additional, or in combination with, n-butyraldehyde or i- butyraldehyde. [0263] In the process of hydrolyzing the poly(vinyl acetate), typically not all of the acetate side groups are converted to hydroxyl groups. Further, reaction with the aldehyde typically will not result in the conversion of all hydroxyl groups on the PVOH to acetal groups. Consequently, in any finished r-PVA, there typically will be residual ester groups such as acetate groups (as vinyl acetate groups) and residual hydroxyl groups (as vinyl hydroxyl groups) as side groups on the polymer chain and acetal (e.g. butyral) groups (as vinyl acetal groups). As used herein, residual hydroxyl content is measured on a weight percent basis per ASTM 1396. [0264] In an embodiment or in combination with any other mentioned embodiments, a reaction medium is formed by combining r-A with a PVOH composition, an acid catalyst, and a solvent. The r-A is condensed with the hydroxyl groups of a PVOH composition in the presence of the acid catalyst to produce r-PVA that is precipitated from the reaction medium. The r-PVA in an organic solvent medium can be recovered by precipitating it from the solvent medium through the addition of water. The precipitated crude resins contain r-PVA, residues of the acid catalyst, and residues of unreacted aldehydes, and as a result, the crude r-PVA resins are washed and dried. [0265] In an embodiment or in combination with any other mentioned embodiments, the concentration of pr-A introduced into a reactor vessel is at least 90 wt.%, or at least 95 wt.%, or at least 97 wt%, or at least 99 wt.% aldehyde compounds, based on the weight of the pr-A, or as fed to the reactor. [0266] The aldehyde compounds can be acetaldehyde, butyraldehyde, n- and i- butryaldehyde, or a combination, therefore. Desirably, the aldehyde compounds are, and the pr-A contain, at least n-butyraldehyde compounds. In an embodiment or in combination with any other mentioned embodiments, the amount of r-n- butyraldehyde or pr-n-butyraldehyde can be at least 90 wt.%, or at r at least 95 wt.%, or at least 97 wt%, or at least 99 wt.%, based on the weight of the aldehydes, or as fed to the reactor. In one embodiment or in combination with any of the mentioned embodiments, the concentration of pr-A, introduced into a reactor vessel is at least 90 wt.%, or at least 95 wt.%, or at least 97 wt.%, or at least 99 wt.%, based on the weight of the aldehyde composition fed to the reactor. [0267] In an embodiment or in combination with any other mentioned embodiments, the aldehydes fed to the reaction vessel do not contain recycle content. In another embodiment, at least a portion of the aldehyde composition is derived directly or indirectly from the cracking of r-pyoil or obtained from r-pygas. For example at least 0.005 wt.%, or at least 0.01 wt.%, or at least 0.05 wt.%, or at least 0.1 wt.%, or at least 0.15 wt.%, or at least 0.2 wt.%, or at least 0.25 wt.%, or at least 0.3 wt.%, or at least 0.35 wt.%, or at least 0.4 wt.%, or at least 0.45 wt.%, or at least 0.5 wt.%, or at least 0.6 wt.%, or at least 0.7 wt.%, or at least 0.8 wt.%, or at least 0.9 wt.%, or at least 1 wt.%, or at least 2 wt.%, or at least 3 wt.%, or at least 4 wt.%, or at least 5 wt.%, or at least 6 wt.%, or at least 7 wt.%, or at least 8 wt.%, or at least 9 wt.%, or at least 10 wt.%, or at least 11 wt.%, or at least 13 wt.%, or at least 15 wt.%, or at least 20 wt.%, or at least 25 wt.%, or at least 30 wt.%, or at least 35 wt.%, or at least 40 wt.%, or at least 45 wt.%, or at least 50 wt.%, or at least 55 wt.%, or at least 60 wt.%, or at least 70 wt.%, or at least 80 wt.%, or at least 90 wt.%, or at least 95 wt.%, or at least 98 wt.%, or at least 99 wt.%, or 100 wt.% of the aldehyde composition is r-A or pr-A. In addition, or in the alternative, up to 100 wt.%, or up to 98 wt.%, or up to 95 wt.%, or up to 90 wt.%, or up to 80 wt.%, or up to 75 wt.%, or up to 70 wt.%, or up to 60 wt.%, or up to 50 wt.%, or up to 40 wt.%, or up to 30 wt.%, or up to 20 wt.%, or up to 10 wt.%, or up to 8 wt.%, or up to 5 wt.%, or up to 4 wt.%, or up to 3 wt.%, or up to 2 wt.%, or up to 1 wt.%, or up to 0.8 wt.%, or up to 0.7 wt.%, or up to 0.6 wt.%, or up to 0.5 wt.%, or up to 0.4 wt.%, or up to 0.3 wt.%, or up to 0.2 wt.%, or up to 0.1 wt.%, or up to 0.09 wt.%, or up to 0.07 wt.%, or up to 0.05 wt.%, or up to 0.03 wt.%, or up to 0.02 wt.%, or up to 0.01 wt.% of the aldehyde composition is r-A or pr-A or optionally from cracking r-pyoil, based on the weight the aldehyde composition. In each case, the stated amounts are also applicable to not only aldehydes as fed into the reactor, but alternatively or in addition, to the aldehyde composition stock supplied to a manufacturer of PVA, or can be used as a basis for associating or calculating the amount of recycle content in r-PVA, such as when blending a source of pr-A with non-recycle content AD to make an aldehyde composition having pr-A in quantities mentioned above. [0268] In one embodiment or in combination with any of the mentioned embodiments, the PVA composition has associated with it, or contains, or is labelled, advertised, or certified as containing recycle content in an amount of at least 0.01 wt.%, or at least 0.05 wt.%, or at least 0.1 wt.%, or at least 0.5 wt.%, or at least 0.75 wt.%, or at least 1 wt.%, or at least 1.25 wt.%, or at least 1.5 wt.%, or at least 1.75 wt.%, or at least 2 wt.%, or at least 2.25 wt.%, or at least 2.5 wt.%, or at least 2.75 wt.%, or at least 3 wt.%, or at least 3.5 wt.%, or at least 4 wt.%, or at least 4.5 wt.%, or at least 5 wt.%, or at least 6 wt.%, or at least 7 wt.%, or at least 10 wt.%, or at least 15 wt.%, or at least 20 wt.%, or at least 25 wt.%, or at least 30 wt.%, or at least 35 wt.%, or at least 40 wt.%, or at least 45 wt.%, or at least 50 wt.%, or at least 55 wt.%, or at least 60 wt.%, or at least 65 wt.% and/or the amount can be up to 100 wt.%, or up to 95 wt.%, or up to 90 wt.%, or up to 80 wt.%, or up to 70 wt.%, or up to 60 wt.%, or up to 50 wt.%, or up to 40 wt.%, or up to 30 wt.%, or up to 25 wt.%, or up to 22 wt.%, or up to 20 wt.%, or up to 18 wt.%, or up to 16 wt.%, or up to 15 wt.%, or up to 14 wt.%, or up to 13 wt.%, or up to 11 wt.%, or up to 10 wt.%, or up to 8 wt.%, or up to 6 wt.%, or up to 5 wt.%, or up to 4 wt.%, or up to 3 wt.%, or up to 2 wt.%, or up to 1 wt.%, or up to 0.9 wt.%, or up to 0.8 wt.%, or up to 0.7 wt.%, based on the weight of the PVA composition. The recycle content associated with the PVA can be established by applying a recycle content value to the PVA, such as through deducting the recycle content value from a recycle inventory populated with allotments (credit or allocation) or by reacting a r-A feedstock to make r-PVA. The allotment can be contained in a recycle inventory created, maintained or operated by or for the PVA manufacturer. The allotments are obtained from any source along any manufacturing chain of products. In one embodiment, the origin of the allotment is derived indirectly from pyrolyzing recycled waste, or from cracking r-pyoil or from r-pygas. [0269] The amount of recycle content in an r-A raw material fed to a PVA reactor, or the amount of recycle content applied to the r-PVA, or the amount of r-A needed to feed the reactor to claim a desired amount of recycle content in the PVA in the event that all the recycle content from the r-A is applied to the PVA, can be determined or calculated by any of the following methods: (i) the amount of an allotment associated with the r-A used to feed the reactor applied determined by the amount certified or declared by the supplier of the aldehyde composition transferred to the manufacturer of the PVA, or (ii) the amount of allocation declared by the PVA manufacturer as fed to the PVA reactor, or (iii) using a mass balance approach to back-calculate the minimum amount of recycle content in the feedstock from an amount of recycle content declared, advertised, or accounted for by the manufacturer, whether or not accurate, as applied to the PVA product, or (iv) blending of non-recycle content with recycle content feedstock AD or associating recycle content to a portion of the feedstock, using pro-rata mass approach [0270] Satisfying any one of the methods (i)-(iv) is sufficient to establish the portion of r-A that is derived directly or indirectly from recycled waste, the pyrolysis of recycled waste, pyrolysis gas produced from the pyrolysis of recycled waste, and/or the cracking of r-pyoil produced from the pyrolysis of recycled waste. In the event that a r-A feed is blended with a recycle feed from other recycle sources, a pro-rata approach to the mass of r-A directly or indirectly obtained from recycled waste, the pyrolysis of recycled waste, pyrolysis gas produced from the pyrolysis of recycled waste, and/or the cracking of r-pyoil produced from the pyrolysis of recycled waste to the mass of recycle aldehydes from other sources is adopted to determine the percentage in the declaration attributable to r-A obtained directly or indirectly from recycled waste, the pyrolysis of recycled waste, pyrolysis gas produced from the pyrolysis of recycled waste, and/or the cracking of r-pyoil produced from the pyrolysis of recycled waste. [0271] Methods (i)-(ii) need no calculation since they are determined based on what the AD manufacturer or PVA manufacturer or suppliers declare, claim, or otherwise communicate to each other or the public. Method (iii) and (iv) is calculated. [0272] In one embodiment or in combination with any of the mentioned embodiments, the minimum amount of recycle content AD fed to the reactor can be determined by knowing the amount of recycle content associated with the end product PVA and assuming that the entire recycle content in the PVA is attributable to the r-A fed to the reactor and none to the PVOH or PVAc fed to the reactor. The minimum portion of r-A content derived directly or indirectly from recycled waste, the pyrolysis of recycled waste, pyrolysis gas produced from the pyrolysis of recycled waste, and/or the cracking of r-pyoil produced from the pyrolysis of recycled waste, to make a PVA product associated with a particular amount of recycle content, can be calculated as: where P means the minimum portion of r-A or pr-A, or optionally from cracking r-pyoil, and %D means the percentage of recycle content declared in product r-PVB, and a% means the wt% of the aldehyde segments present in the PVA polymer, and for example, when the aldehyde is butyraldehyde it would typically be expressed as wt.% polyvinyl butyral segment, and Pm means the molecular weight of the segment unit that contains the aldehyde, and Em means the molecular weight of the aldehyde moiety in the segment unit that contains the aldehyde, not to exceed the molecular weight of the aldehyde reactant, and Y means the percent yield of the product, e.g. PVB, determined as an average annual yield regardless of whether or not the feedstock is r-A. If an average annual yield is not known, the yield can be assumed to be industry average using the same process technology. [0273] As an example, a supply of PVB is declared to have 10% recycle content, the recycle content in attributable to r-butyraldehyde, and the yield to make PVB is at 95% and the amount of polyvinyl butyral content is specified as 70 wt%. In this case, the butyral segment has a molecular weight of (C8H14O2) or 142.2g/mole and the mass of the butyral moiety is 72.11 g/mole. The minimum amount of recycle content in the r-butyraldehyde fed to the reactor from a PVB composition certified or advertised as having 10% recycle content would be calculated as: [0274] The amount of recycle content in the r-butyraldehyde feed can be greater than 26.77% resulting in excess recycle content left over if the designation of recycle content in the PVB is at only 10%. For example, the r-A may contain 50% recycle content, and only 10% is ascribed to the PVB, with the remainder available to the product reserved in an inventory of credits. The excess recycle content may be stored in a recycle inventory and applied to other PVA products that either are not made with r-A or with a deficient amount of r-A recycle content relative to the amount of recycle content one desires to apply to the PVA. However, whether or not the r-A feedstock actually was designated by the manufacturer of the PVA as containing the minimum amount of recycle content, a r-PVA designated as containing a certain recycle content is nevertheless deemed to have been made from a r-A feedstock containing the minimum recycle content by the calculation method described above. [0275] In the case of a pro-rata mass approach in method (iv), the portion of r-A derived directly or indirectly from recycled waste, the pyrolysis of recycled waste, pyrolysis gas produced from the pyrolysis of recycled waste, and/or the cracking of r- pyoil produced from the pyrolysis of recycled waste would be calculated on the basis of the mass of recycle content available to the PVA manufacturer by way of purchase or transfer or created in case the AD is integrated into r-A production, that is attributed to the feedstock on a daily run divided by the mass of the r-A feedstock, or: where P means the percentage of recycle content in the AD feedstock stream, and where Mr is the mass of recycle content attributed to the r-A stream on a daily basis, and Ma is the mass of the entire AD feedstock used to make PVA on the corresponding day. [0276] For example, if a PVA manufacturer has available 1000 kg of a recycle allocation or credit that has its origin in pyrolyzing recycled waste, and the PVA manufacturer elects to attribute 10 kg of the recycle allocation to an AD feedstock used to make the PVA, and the AD feedstock employs 100 kg per day to make PVA, the portion P of the r-A feedstock derived directly or indirectly from cracking pyoil would be 10kg/100kg, or 10 wt%. The AD feedstock composition would be considered to be a r-A composition because a portion of the recycle allocation is applied to the AD feedstock used to make the PVA. [0277] In another embodiment, there is provided a variety of methods for apportioning the recycle content among the various products made by a PVA manufacturer or the products made by any one entity or a combinations of entities among the Family of Entities of which the PVA manufacturer is a part. For example, the PVA manufacturer, of any combination or the entirety of its Family of Entities, or a Site, can: [0278] adopt a symmetric distribution of recycle content values among its product(s) based on the same fractional percentage of recycle content in one or more feedstocks, or based on the amount of allotment received. For example, if 5 wt.% of the AD feedstock is r-A, or if the allotment value is 5 wt.% of the entire AD feedstock, then all PVA made with the AD feedstock may contain 5 wt.% recycle content value. In this case, the amount of recycle content in the products is proportional to the amount of recycle content in the feedstock to make the products; or [0279] adopt an asymmetric distribution of recycle content values among its product(s) based on the same fractional percentage of recycle content in the one or more feedstocks, or based on the amount of allotment received. For example, if 5 wt.% of the AD feedstock is r-A, or if the allotment value is 5 wt.% of the entire AD feedstock, then one volume or batch of PVA can receive a greater amount of recycle content value that other batches or volume of PVA made, provided that the total amount of recycle content does not exceed the total amount of r-A or allotment received, or the total amount of recycle content in the recycle inventory. One batch of PVA can contain 5% recycle content by mass, and another batch can contain zero 0% recycle content, even though both volumes are made from the same volume of AD feedstock. In the asymmetric distribution of recycle content, a manufacturer can tailor the recycle content to volumes of PVA sold as needed among customers, thereby providing flexibility among customers some of whom may need more recycle content than others in a PVA volume. [0280] Both the symmetric distribution and the asymmetric distribution of recycle content can be proportional on a Site wide basis, or on a multi-Site basis. In one embodiment or in combination with any of the mentioned embodiments, the recycle content input (recycle content feedstock or allotments) can be to a Site, and recycle content values from said inputs are applied to one or more products made at the same Site, and at least one of the products made at the Site is PVA, and optionally at least a portion of the recycle content value is applied to the PVA products. The recycle content values can be applied symmetrically or asymmetrically to the products at the Site. The recycle content values can be applied across different PVA volumes symmetrically or asymmetrically, or applied across a combination of PVA and other products made at the Site. For example, a recycle content value is transferred to a recycle inventory at a Site, created at a Site, or a feedstock containing recycle content value is reacted at a Site (collectively the “a recycle input”), and recycle content values obtained from said inputs are: a. distributed symmetrically across at least a portion or across all PVA volume made at the Site over a period of time (e.g. within 1 week, or within 1 month, or within 6 months, or within the same calendar year, or continuously); or b. distributed symmetrically across at least a portion or across all PVA volume made at the Site and across at least a portion or across a second different product made at the same Site, each over the same period of time (e.g. within 1 week, or within 1 month, or within 6 months, or within the same calendar year, or continuously); or c. recycle content is distributed symmetrically across all products to which recycle content is actually applied that are made at the Site, over the same period of time (e.g. within the same day, or within 1 week, or within 1 month, or within 6 months, or within the same calendar year, or continuously). While a variety of products can be made at a Site, in this option, not all product have to receive a recycle content value, but for all products that do receive or to which are applied a recycle content value, the distribution is symmetrical; or d. distributed asymmetrically across at least two PVA volumes made at the same Site, optionally either over the same period of time (e.g. within 1 day, or within 1 week, or within 1 month, or within 6 months, or within a calendar year, or continuously), or as sold to at least two different customers. For example, one volume of PVA made can have a greater recycle content value than a second volume of PVA made at the Site, or one volume of PVA made at the Site and sold to one customer can have a greater recycle content value than a second volume of PVA made at the Site and sold to a second different customer, or e. distributed asymmetrically across at least one volume of PVA and at least one volume of a different product, each made at the same Site, optionally either over the same period of time (e.g. within 1 day, or within 1 week, or within 1 month, or within 6 months, or within a calendar year, or continuously), or as sold to at least two different customers. [0281] In one embodiment or in combination with any of the mentioned embodiments, the recycle content input or creation (recycle content feedstock or allotments) can be to or at a first Site, and recycle content values from said inputs are transferred to a second Site and applied to one or more products made at a second Site, and at least one of the products made at the second Site is PVA, and optionally at least a portion of the recycle content value is applied to PVA products made at the second Site. The recycle content values can be applied symmetrically or asymmetrically to the products at the second Site. The recycle content values can be applied across different PVA volumes symmetrically or asymmetrically, or applied across a combination of PVA and other products made at the second Site. For example, a recycle content value is transferred to a recycle inventory at a first Site, created at a first Site, or a feedstock containing recycle content value is reacted at a first Site (collectively the “a recycle input”), and recycle content values obtained from said inputs are: a. distributed symmetrically across at least a portion or across all PVA volume made at a second Site over a period of time (e.g. within 1 week, or within 1 month, or within 6 months, or within the same calendar year, or continuously); or b. distributed symmetrically across at least a portion or across all PVA volume made at the second Site and across at least a portion or across a second different product made at the same second Site, each over the same period of time (e.g. within 1 week, or within 1 month, or within 6 months, or within the same calendar year, or continuously); or c. recycle content is distributed symmetrically across all products to which recycle content is actually applied that are made at the second Site, over the same period of time (e.g. within the same day, or within 1 week, or within 1 month, or within 6 months, or within the same calendar year, or continuously). While a variety of products can be made at a second Site, in this option, not all product have to receive a recycle content value, but for all products that do receive or to which are applied a recycle content value, the distribution is symmetrical; or d. distributed asymmetrically across at least two PVA volumes made at the same second Site, optionally either over the same period of time (e.g. within 1 day, or within 1 week, or within 1 month, or within 6 months, or within a calendar year, or continuously), or as sold to at least two different customers. For example, one volume of PVA made can have a greater recycle content value than a second volume of PVA each made at the second Site, or one volume of PVA made at the second Site and sold to one customer can have a greater recycle content value than a second volume of PVA made at the second Site and sold to a second different customer, or e. distributed asymmetrically across at least one volume of PVA and at least one volume of a different product, each made at the same second Site, optionally either over the same period of time (e.g. within 1 day, or within 1 week, or within 1 month, or within 6 months, or within a calendar year, or continuously), or as sold to at least two different customers. [0282] In one embodiment or in combination with any of the mentioned embodiments, the PVA manufacturer, or one among its Family of Entities, can make PVA, or process an AD, or process AD and make an r-PVA, or make r-PVA, by obtaining any source of an aldehyde composition from a supplier, whether or not such aldehyde composition has any direct or indirect recycle content, and either: i. from the same supplier of the aldehyde composition, also obtain a recycle content allotment, or ii. from any person or entity, obtaining a recycle content allotment without a supply of an aldehyde composition from the person or entity transferring the recycle content allotment. [0283] The allotment in (i) is obtained from an AD supplier, and the AD supplier also supplies AD to the PVA manufacturer or within its Family of Entities. The circumstance described in (i) allows a PVA manufacturer to obtain a supply of an aldehyde composition that is a non-recycle content AD, yet obtain a recycle content allotment from the AD supplier. In one embodiment or in combination with any of the mentioned embodiments, the AD supplier transfers a recycle content allotment to the PVA manufacturer and a supply of AD to the PVA manufacturer, where the recycle content allotment is not associated with the AD supplied, or even not associated with any AD made by the AD supplier. The recycle content allotment does not have to be tied to an amount of recycle content in an aldehyde composition or to any monomer used to make PVA, but rather the recycle content allotment transferred by the AD supplier can be associated with other products derived directly or indirectly from recycled waste, the pyrolysis of recycled waste, pyrolysis gas produced from the pyrolysis of recycled waste, and/or the cracking of r-pyoil produced from the pyrolysis of recycled waste or the recycle content of any downstream compounds obtained from the pyrolysis of recycled waste, such as r-ethylene, r-propylene, r- butadiene, r-aldehydes, r-alcohols, r-benzene, etc. For example, the AD supplier can transfer to the PVA manufacturer a recycle content associated with r-propylene and also supply a quantity of ethylene oxide even though r-propylene was not used in the synthesis of the ethylene oxide. This allows flexibility among the AD supplier and PVA manufacturer to apportion a recycle content among the variety of products they each make. [0284] In one embodiment or in combination with any of the mentioned embodiments, the AD supplier transfers a recycle content allotment to the PVA manufacturer and a supply of AD to the PVA manufacturer, where the recycle content allotment is associated with AD. In this case, the AD transferred does not have to be a r-A (one that is derived directly or indirectly from the pyrolysis of recycled waste); rather the AD supplied by the supplier can be any AD such as a non-recycle content AD, so long as the allocation supplied is associated with a manufacture of AD. Optionally, the AD being supplied can r-A and at least a portion of the recycle content allotment being transferred can be the recycle content in the r-A. The recycle content allotment transferred to the PVA manufacturer can be up front with the AD supplied in installments, or with each AD installment, or apportioned as desired among the parties. [0285] The allotment in (ii) is obtained by the PVA manufacturer (or its Family of Entities) from any person or entity without obtaining a supply of AD from the person or entity. The person or entity can be an AD manufacturer that does not supply AD to the PVA manufacturer or its Family of Entities, or the person or entity can be a manufacturer that does not make AD. In either case, the circumstances of (ii) allows a PVA manufacturer to obtain a recycle content allotment without having to purchase any AD from the entity supplying the recycle content allotment. For example, the person or entity may transfer a recycle content allotment through a buy/sell model or contract to the PVA manufacturer or its Family of Entities without requiring purchase or sale of an allotment (e.g. as a product swap of products that are not AD), or the person or entity may outright sell the allotment to the PVA manufacturer or one among its Family of Entities. Alternatively, the person or entity may transfer a product, other than AD, along with its associated recycle content allotment to the PVA manufacturer. This can be attractive to a PVA manufacturer that has a diversified business making a variety of products other than PVA requiring raw materials other than AD that the person or entity can supply to the PVA manufacturer. [0286] The PVA manufacturer can deposit the allotment into a recycle inventory. The PVA manufacturer also makes PVA, whether or not a recycle content is applied to the PVA so made and whether or not a recycle content value, if applied to the PVA, is drawn from the recycle inventory. For example, the PVA manufacturer, or any entity among its Family of Entities may: a. deposit the allotment into a recycle inventory and merely store it; or b. deposit the allotment into a recycle inventory and apply a recycle content value from the recycle inventory to products other than PVA made by the PVA manufacturer, or c. sell or transfer an allotment from the recycle inventory into which the allotment obtained as noted above was deposited. [0287] If desired, however, from that recycle inventory, any allotment can be deducted and applied to the PVA product in any amount and at any time up to the point of sale or transfer of the PVA to a third party. Thus, the recycle content allotment applied to the PVA can be derived directly or indirectly from pyrolyzing recycled waste, or the recycle content allotment applied to the PVA is not derived directly or indirectly from the pyrolysis of recycled waste. For example, a recycle inventory of allotments can be generated having a variety of sources for creating the allotments. Some recycle content allotments (credits) can have their origin in methanolysis of recycled waste, or from gasification of recycled waste, or from mechanical recycling of waste plastic or metal recycling, and/or from pyrolyzing recycled waste, or from any other chemical or mechanical recycling technology. The recycle inventory may or may not track the origin or basis of obtaining a recycle content, or the recycle inventory may not allow one to associate the origin or basis of an allocation to the allocation applied to PVA. Thus, in this embodiment, it is sufficient that a recycle content value is deducted from recycle inventory and applied to PVA regardless of the source or origin of the recycle content value, provided that an allotment derived from pyrolyzing recycled waste is also obtained by the PVA manufacturer as specified in step (i) or step (ii), whether or not that allotment is actually deposited into the recycle inventory. In one embodiment or in combination with any of the mentioned embodiments, the allotment obtained in step (i) or (ii) is deposited into a recycle inventory of allotments. In one embodiment or in combination with any of the mentioned embodiments, the recycle content value deducted from the recycle inventory and applied to the PVA originates from pyrolyzing recycled waste. [0288] As used throughout, the recycle inventory of allotments can be owned by the PVA manufacturer, operated by the PVA manufacturer, owned or operated by other than the PVA manufacturer but at least in part for the PVA manufacturer, or licensed by the PVA manufacturer. Also, as used throughout, the PVA manufacturer may also include its Family of Entities. For example, while the PVA manufacturer may not own or operate the recycle inventory, one among its Family of Entities may own such a platform, or license it from an independent vendor, or operate it for the PVA manufacturer. Alternatively, an independent entity may own and/or operate the recycle inventory and for a service fee operate and/or manage at least a portion of the recycle inventory for the PVA manufacturer. [0289] In one embodiment or in combination with any of the mentioned embodiments, the PVA manufacturer obtains a supply of AD from a supplier, and also obtains an allotment from either (i) the supplier or (ii) from any other person or entity, where such allotment is derived from recycled waste, the pyrolysis of recycled waste, pyrolysis gas produced from the pyrolysis of recycled waste, and/or the cracking of r-pyoil produced from the pyrolysis of recycled waste, and optionally the allotment is obtained from the AD supplier and can even be an allotment by virtue of obtaining a r-A from the supplier. The PVA manufacturer is deemed to obtain the supply of aldehyde from a supplier if the supply is obtained by a person or entity within the Family of Entities of the PVA manufacturer. The PVA manufacturer then carries out one or more of the following steps: a. applying the allotment to PVA made by the supply of AD; b. applying the allotment to PVA not made by the supply of AD, such as would be the case where PVA is already made and stored in recycle inventory, or to future made PVA; or c. depositing the allotment into a recycle inventory from which is deducted a recycle content value and applying at least a portion of the recycle content value to: i. PVA to thereby obtain r-PVA, or ii. to a compound or composition other than PVA, or iii. both; whether or not r-A is used to make the PVA composition, and whether or not the recycle content value applied to PVA was obtained from a recycle content value in the allotment obtained in step (i) or step (ii) or deposited into the recycle inventory; or d. as described above, can merely be deposited into a recycle inventory and stored. [0290] It is not necessary in all embodiments that r-A is used to make the r-PVA composition or that the r-PVA was obtained from a recycle content allotment associated with an aldehyde composition. Further, it is not necessary that an allotment be applied to the feedstock for making the PVA to which recycle content is applied. Rather, as noted above, the allotment, even if associated with an aldehyde composition when the aldehyde composition is obtained from a supplier, can be deposited into an electronic recycle inventory. In one embodiment or in combination with any of the mentioned embodiments, however, r-A is used to make the r-PVA composition. In one embodiment or in combination with any of the mentioned embodiments, the r-PVA is obtained from a recycle content allotment associated with an alkylene composition. In one embodiment or in combination with any of the mentioned embodiments, at least a portion of r-A allotments are applied to PVA to make a r-PVA. [0291] The poly(vinyl acetal) composition can be made from any source of an aldehyde composition, whether or not the aldehyde composition is a r-A, and whether or not the AD is obtained from a supplier or made by the PVA manufacturer or within its Family of Entities. Once a PVA composition is made, it can be designated as having recycle content based on and derived from at least a portion of the allotment, again whether or not the r-A is used to make the r-PVA composition and regardless of the source of AD used to make the PVA. The allocation can be withdrawn or deducted from recycle inventory. The amount of the deduction and/or applied to the PVA can correspond to any of the methods described above, e.g. a mass balance approach. [0292] In one embodiment or in combination with any of the mentioned embodiments, a recycle content poly(vinyl acetal) composition can be made by reacting an aldehyde composition obtained from any source in a synthetic process to make a PVA, and a recycle content value can be applied to at least a portion of the PVA to thereby obtain r-PVA. Optionally, a recycle content value can be obtained by deducting from a recycle inventory. The entire amount of recycle content value in the PVA can correspond to the recycle content value deducted from the recycle inventory. Recycle content value deducted from the recycle inventory can be applied to both PVA and products or compositions other than PVA made by the PVA manufacturer or a person or entity among its Family of Entities. The aldehyde composition can be obtained from a third party, or made by the PVA manufacturer, or made by a person or entity amount the Family of Entities of the PVA manufacturer and transferred to the PVA manufacturer. In another example, the PVA manufacturer or its Family of Entities can have a first facility for making aldehyde within a first Site, and a second facility within the first Site or a second facility within a second Site where the second facility makes PVA, and transfer the aldehyde from the first facility or first Site to the second facility or second Site. The facilities or Sites can be in direct or indirect, continuous or discontinuous, fluid communication or pipe communication with each other. A recycle content value is then applied to (e.g. assigned to, designate to correspond to, attributed to, or associated with) the PVA to make a r-PVA. At least a portion of the recycle content value applied to the PVA is obtained from a recycle inventory. [0293] Optionally, one may communicate to a third party that the r-PVA has recycle content or is obtained or derived from recycled waste. In one embodiment or in combination with any of the mentioned embodiments, one may communicate recycle content information about the PVA to a third party where such recycle content information is based on or derived from at least a portion of the allocation or credit. The third party may be a customer of the PVA manufacturer or supplier, or may be any other person or entity or governmental organization other than the entity owning the PVA. The communication may electronic, by document, by advertisement, or any other means of communication. [0294] In one embodiment or in combination with any of the mentioned embodiments, a recycle content poly(vinyl acetal) composition is obtained by either making a first r-PVA or by merely possessing (e.g. by way of purchase, transfer, or otherwise) a first r-PVA already having a recycle content, and transferring a recycle content value between a recycle inventory and the first r-PVA to obtain a second r- PVA having different recycle content value than the first r-PVA. [0295] In one embodiment or in combination with any of the mentioned embodiments, the transferred recycle content value described above is deducted from the recycle inventory and applied to the first r-PVA to obtain a second r-PVA having a second recycle content value higher than the first r-PVA contains, to thereby increase the recycle content in first r-PVA. [0296] The recycle content in the first r-PVA need not be obtained from a recycle inventory, but rather can be attributed to PVA by any of the methods described herein (e.g. by virtue of using a r-A as a reactant feed), and the PVA manufacturer may seek to further increase the recycle content in the first r-PVA so made. In another example, a PVA distributor may have r-PVA in its inventory and seek to increase the recycle content value of the first r-PVA in its possession. The recycle content in the first r-PVA can be increased by applying a recycle content value withdrawn from a recycle inventory. [0297] The recycle content value quantity that is deducted from recycle inventory is flexible and will depend on the amount of recycle content applied to the PVA. In one embodiment or in combination with any of the mentioned embodiments, it is at least sufficient to correspond with at least a portion of the recycle content in the r- PVA. This is useful if, as noted above, a portion of the PVA was made with r-A where the recycle content value in the r-A was not deposited into a recycle inventory, resulting in a r-PVA and one desires to increase the recycle content in the r-PVA by applying a recycle content value withdrawn from a recycle inventory; or where one possesses r-PVA (by way of purchase, transfer, or otherwise) and desires to increase its recycle content value. Alternatively, the entire recycle content in the r-PVA can be obtained by applying a recycle content value to the PVA obtained from a recycle inventory. [0298] The method for calculating the recycle content value is not limited, and can include the mass balance approach or the methods of calculation described above. The recycle inventory can be established on any basis and be a mix of basis. Examples of the origin for obtaining allotments deposited into a recycle inventory can be from pyrolyzing recycled waste, gasification of recycled waste, depolymerization of recycled waste such as through hydrolysis or methanolysis, and so on. In one embodiment or in combination with any of the mentioned embodiments, at least a portion of the allocations deposited into the recycle inventory is attributable to pyrolyzing recycled waste (e.g. obtained from cracking r-pyoil or obtained from r- pygas). The recycle inventory may or may not track the origin of recycle content value deposited into the recycle inventory. In one embodiment or in combination with any of the mentioned embodiments, the recycle inventory distinguishes between a recycle content value obtained from pyrolyzing recycled waste (i.e., pyrolysis recycle content value) and recycle content values having their origin in other technologies (i.e., recycle content value). This may be accomplished simply by assigning distinguishing units of measure to the recycle content values having is origin in pyrolyzing recycled waste, or tracking the origin of the allocation by assigning or placing the allocation into a unique module, unique spreadsheet, unique column or row, unique database, unique taggants associated with a unit of measure, and the like to as to distinguish the: Origin of technology used to create the allotment, or The type of compound having recycle content from which the allocation is obtained, or The supplier or Site identity, or A combination thereof. [0299] The recycle content value applied to the PVA from the recycle inventory does not have to be obtained from allotments having their origin in pyrolyzing recycled waste. The recycle content values deducted from the recycle inventory and/or applied to the PVA can be derived from any technology used to generate allocations from recycled waste, such as through methanolysis or gasification of recycled waste. In one embodiment or in combination with any of the mentioned embodiments, however, the recycle content value applied to the PVA or withdrawn/deducted from the recycle inventory have their origins or are derived from allotments obtained from pyrolyzing recycled waste. [0300] The following are examples of applying (designating, assigning, or declaring a recycle content) a recycle content value or allotment to PVA or to an aldehyde composition: 1. Applying at least a portion of a recycle content value to a PVA composition where the recycle content value is derived directly or indirectly with a recycle content ethylene or propylene, where such recycle content ethylene or propylene is obtained directly or indirectly from cracking r-pyoil or obtained from r-pygas, and the aldehyde composition used to make the PVA did not contain any recycle content or it did contain recycle content; or 2. Applying at least a portion of a recycle content value to a PVA composition where the recycle content value is derived directly or indirectly from cracking r-pyoil or obtained from r-pygas; or 3. Applying at least a portion of a recycle content value to a PVA composition where the recycle content value is derived directly or indirectly with a r-A, whether or not such aldehyde volume is used to make the PVA; or 4. Applying at least a portion of a recycle content value to a PVA composition where the recycle content value is derived directly or indirectly with a r-A, and the r-A is used as a feedstock to make the r- PVA to which the recycle content value is applied, and: a. all of the recycle content in the r- aldehyde is applied to determine the amount of recycle content in the PVA, or b. only a portion of the recycle content in the r- aldehyde is applied to determine the amount of recycle content applied to the PVA, the remainder stored in recycle inventory for use to future PVA, or for application to other existing PVA made from r-aldehyde not containing any recycle content, or to increase the recycle content on an existing r-PVA, or a combination thereof, or c. none of the recycle content in the r- aldehyde is applied to the PVA and instead is stored in a recycle inventory, and a recycle content from any source or origin is deducted from the recycle inventory and applied to PVA; or 5. Applying at least a portion of a recycle content value to an aldehyde composition used to make a PVA to thereby obtain a r-PVA, where the recycle content value was obtained with the transfer or purchase of the same aldehyde composition used to make the PVA and the recycle content value is associated with the recycle content in an aldehyde composition; or 6. Applying at least a portion of a recycle content value to an aldehyde composition used to make a PVA to thereby obtain a r-PVA, where the recycle content value was obtained with the transfer or purchase of the same aldehyde composition used to make the PVA and the recycle content value is not associated with the recycle content in an aldehyde composition but rather on the recycle content of a monomer used to make the aldehyde composition, such as with propylene or ethylene; or 7. Applying at least a portion of a recycle content value to an aldehyde composition used to make a PVA to thereby obtain a r-PVA, where the recycle content value was not obtained with the transfer or purchase of the aldehyde composition and the recycle content value is associated with the recycle content in the aldehyde composition; or 8. Applying at least a portion of a recycle content value to an aldehyde composition used to make a PVA to thereby obtain a r-PVA, where the recycle content value was not obtained with the transfer or purchase of the aldehyde composition and the recycle content value is not associated with the recycle content in the aldehyde composition but rather with the recycle content of any monomers used to make the aldehyde composition, such as a recycle content value associated with recycle content in propylene or ethylene; or 9. Obtaining a recycle content value derived directly or indirectly from pyrolyzing recycled waste, such as from cracking of r-pyoil, or obtained from a r-pygas, or associated with a r-composition, or associated with a r-aldehyde, and: a. no portion of the recycle content value is applied to an aldehyde composition to make PVA and at least a portion is applied to PVA to make a r-PVA; or b. less than the entire portion is applied to an aldehyde composition used to make PVA and the remainder is stored in recycle inventory or is applied to future made PVA or is applied to existing PVA in recycle inventory. [0301] As used throughout, the step of deducting an allocation from a recycle inventory does not require its application to a PVA product. The deduction also does not mean that the quantity of the deduction disappears or is removed from the inventory logs. A deduction can be an adjustment of an entry, a withdrawal, an addition of an entry as a debit, or any other algorithm that adjusts inputs and outputs based on an amount of recycle content associated with a product and one or a cumulative amount of allocations on deposit in the recycle inventory. For example, a deduction can be a simple step of a reducing/debit entry from one column and an addition/credit to another column within the same program or books, or an algorithm that automates the deductions and entries/additions and/or applications or designations to a product slate. The step of applying a recycle content value to a PVA product also does not require the recycle content value or allocation to be applied physically to a PVA product or to any document issued in association with the PVA product sold. For example, a PVA manufacturer may ship PVA product to a customer and satisfy the “application” of the recycle content value to the PVA product by electronically transferring a recycle content credit or certification document to the customer, or by applying a recycle content value to a package or container containing the PVA or r-A. [0302] Some PVA manufacturers may be integrated into making downstream products using PVA as a raw material, such as making films or sheets, dispersions, and laminates with or on glass, or sandwiched between layers of glass, or laminated with other polymer sheets which can then be laminated onto glass or between glass layers. They, and other non-integrated PVA manufacturers, can also offer to sell or sell PVA on the market as containing or obtained with an amount of recycle content. The recycle content designation can also be found on or in association with the downstream product made with the PVA. [0303] In one embodiment or in combination with any of the mentioned embodiments, the amount of recycle content in the r-A or in the r-PVA will be based on the allocation or credit obtained by the manufacturer of the PVA composition or the amount available in the PVA manufacturer’s recycle inventory. A portion or all of the recycle content value in an allocation or credit obtained by or in the possession of a manufacturer of PVA can be designated and assigned to a r-A or r-PVA on a mass balance basis. The assigned value of the recycle content to the r-A or r-PVA should not exceed the total amount of all allocations and/or credits available to the manufacturer of the PVA or other entity authorized to assign a recycle content value to the PVA. [0304] There is now also provided a method of introducing or establishing a recycle content in an poly(vinyl acetal) without necessarily using an r-aldehyde feedstock. In this method, a. an olefin supplier either: i. cracks a cracker feedstock comprising recycle pyoil to make an olefin composition at least a portion of which is obtained by cracking said recycle pyoil (r-olefin), or ii. makes a pygas at least a portion of which is obtained by pyrolyzing a recycled waste stream (r-pygas), or iii. both; and b. an poly(vinyl acetal) manufacturer: i. obtaining an allotment derived directly or indirectly with said r- olefin or said r-pygas from the supplier or a third-party transferring said allotment, ii. making an poly(vinyl acetal) from an aldehyde, and iii. associating at least a portion of the allotment with at least a portion of the poly(vinyl acetal), whether or not the aldehyde used to make the poly(vinyl acetal) contains r-aldehyde. [0305] In this method, the poly(vinyl acetal) manufacturer need not purchase r- aldehyde from any entity or from the supplier of aldehyde, and does not require the poly(vinyl acetal) manufacturer to purchase olefins, r-olefins, or aldehyde from a particular source or supplier, and does not require the poly(vinyl acetal) manufacturer to use or purchase an aldehyde composition having r-aldehyde in order to successfully establish a recycle content in the poly(vinyl acetal) composition. The aldehyde manufacturer may use any source of aldehyde and apply at least a portion of the allocation or credit to at least a portion of the aldehyde feedstock or to at least a portion of the poly(vinyl acetal) product. When the allocation or credit is applied to the feedstock aldehyde, this would be an example of an r-aldehyde feedstock indirectly derived from the cracking of r-pyoil or obtained from r-pygas. The association by the poly(vinyl acetal) manufacturer may come in any form, whether by on in its recycle inventory, internal accounting methods, or declarations or claims made to a third party or the public. [0306] In another embodiment, an exchanged recycle content value is deducted from a first r-PVA and added to the recycle inventory to obtain a second r-PVA having a second recycle content value lower than the first r-PVA contains, to thereby decrease the recycle content in first r-PVA. This embodiment, the above description concerning adding a recycle content value from a recycle inventory to a first r-PVA applies in reverse to deducting a recycle content from first r-PVA and adding it to a recycle inventory. [0307] The allotment can be obtained from a variety of sources in the manufacturing chain starting from pyrolyzing recycled waste up to making and selling a r-A. The recycle content value applied to PVA or the allocation deposited into the recycle inventory need not be associated with r-A. In one embodiment or in combination with any of the mentioned embodiments, the process for making r-PVA can be flexible and allow for obtaining an allocation anywhere along the manufacturing chain to make PVA starting from pyrolyzing recycled waste. For example, one can make r-PVA by: a. pyrolyzing a pyrolysis feed comprising a recycled waste material to thereby form a pyrolysis effluent that contains r-pyoil and/or r-pygas. An allotment associated with the r-pyoil or r-pygas is automatically created by creation of pyoil or pygas from a recycled waste stream. The allotment may travel with the pyoil or pygas, or be dissociated from the pyoil or pygas such as by way of depositing the allotment into a recycle inventory; and b. optionally cracking a cracker feed that contains at least a portion of the r-pyoil made in step a) to thereby produce a cracker effluent containing r-olefins; or optionally cracking a cracker feed without r-pyoil to make olefins and applying a recycle content value to the olefins so made by deducting a recycle content value from a recycle inventory (in the case that can be owned, operated, or for the benefit of an olefin producer or its Family of Entities) and applying the recycle content value to the olefins to make r-olefins; c. reacting any olefin volume in a synthetic process to make an aldehyde composition; optionally using the olefin made in step b) and optionally using a r-olefin made in step b) and optionally applying a recycle content value associated the manufacture of the aldehydes made to make r-A; and d. reacting any aldehyde in a synthetic process to make an poly(vinyl acetal); optionally using the aldehyde made in step c) and optionally using a r-A made in step c); and e. applying a recycle content value to at least a portion of said poly(vinyl acetal) composition based on: i. feeding r-A as a feedstock or ii. depositing at least a portion of an allotment obtained from any one or more of steps a) or b) or c) into a recycle inventory and deducting from said inventory a recycle content value and applying at least a portion of either or both of said values to PVA to thereby obtain r-PVA. [0308] In one embodiment or in combination with any of the mentioned embodiments, there is also provided a comprehensive process for making recycle content poly(vinyl acetal)s by: a. making a r-olefin by either cracking the r-pyoil or separating an olefin from the r-pygas; and b. converting at least a portion of the r-olefin in a synthetic process to make aldehyde, and c. converting at least a portion of any or said aldehyde to an poly(vinyl acetal); and d. applying a recycle content value to said poly(vinyl acetal) to make a r- PVA; and e. optionally, also making a r-pyoil or r-pygas or both by pyrolyzing a recycle feedstock [0309] In this embodiment, all steps a)-d) can be practiced by and within a Family of Entities, or optionally on the same Site. [0310] In another method, the direct method, a recycle content can be introduced or established in poly(vinyl acetal) by: [0311] obtaining recycle aldehyde composition at least a portion of which is directly derived from cracking r-pyoil or obtained from r-pygas (“r-A”), [0312] making an poly(vinyl acetal) composition from a feedstock comprising r- A, [0313] applying a recycle content value to at least a portion of any poly(vinyl acetal) composition made by the same entity that made the poly(vinyl acetal) composition in step b), and the recycle content value is based at least partly on the amount of recycle content contained in the r-A. [0314] In another more detailed direct method, a recycle content can be introduced or established in poly(vinyl acetal) by: a. making a recycle olefin composition (e.g. ethylene or propylene) at least a portion of which is directly derived from the pyrolysis of recycle waste or from cracking r-pyoil or obtained from r-pygas (“dr- propylene”), b. making an aldehyde with a feedstock containing dr-propylene, c. designating at least a portion of the aldehyde as containing a recycle content corresponding to at least a portion of the amount of dr- propylene contained in the feedstock to obtain a dr-aldehyde, d. making an poly(vinyl acetal) with a feedstock containing r-aldehyde, e. designating at least a portion of the poly(vinyl acetal) as containing a recycle content corresponding to at least a portion of the amount of dr- aldehyde contained in the feedstock to obtain a dr-poly(vinyl acetal), f. and optionally offering to sell or selling the r-poly(vinyl acetal) as containing or obtained with recycle content corresponding with such designation. [0315] In these direct methods, the r-aldehyde content used to make the poly(vinyl acetal) would be traceable to the olefin made by a supplier by cracking r- pyoil or obtained from r-pygas. Not all of the amount of r-olefin used to make the aldehyde need be designated or associated with the aldehyde. For example, if 1000 kg of r-propylene or r-ethylene is used to make r-A, the AD manufacturer can designate less than 1000 kg of recycle content toward a particular batch of feedstock used to make the AD and may instead spread out the 1000 kg recycle content amount over various productions runs to make aldehyde. The aldehyde manufacturer may elect to offer for sale its dr-poly(vinyl acetal) and in doing so may also elect to represent the r-poly(vinyl acetal) that is sold as containing, or obtained with sources that contain, a recycle content. [0316] The r-A can be obtained by hydroformylating ethylene or recycle propylene, depending on which whether one desires to use propionaldehyde or butyraldehyde as the r-A feed to make r-PVA. A discussion for the preparation of r- butyraldehyde follows, although it is understood that the method can also applicable to the manufacture of r-propionaldehyde or other r-aldehydes. Further, while the process is described relative to propylene, it is understood that other olefins such as ethylene can be used, and that the olefin can be a non-recycle olefin, or an r-olefin, or a pr-olefin, or a olefin obtained by cracking r-pyoil (e.g. propylene, r-propylene, pr- propylene, or pr-propylene obtained by cracking r-pyoil, or through a gas cracker). Although any process for converting r-propylene to a (C ₄ )-alkanal (e.g. butyraldehyde) can be employed, the rhodium catalyzed process, or the low pressure hydroformylation process, is a desirable synthetic route in view of its high catalyst activity and selectivity, and low pressure and low temperature requirements. [0317] More specifically, the hydroformylation process for making r-(C ₄ )-alkanal includes contacting propylene with syn gas (H ₂ , CO) and a catalyst complex in a reaction zone at an elevated temperature and elevated pressure for a sufficient period of time to permit reaction of propylene with syn gas to form (C ₄ )-alkanal. Suitable methods for making (C ₄ )-alkanal include the high and low pressure oxo processes, in which r-propylene is hydroformylated to make (C ₄ )-alkanal. The hydroformylation reaction temperature can be any temperature from 50° C to about 250° C and the reaction pressure can be from 15 psig to about 5100 psig. The hydroformylation process can be a high- or low-pressure process. In the high pressure hydroformylation process, the temperature within the reaction zone can be at least 140°C, or at least 150°C, or at least 160°C, or at least 170°C. In addition, or in the alternative, the temperature can be up to 250°C, or up to 240°C, or up to 230°C, or up to 220°C, or up to 210°C, or up to 200°C. In the low pressure hydroformylation process, the temperature within the reaction zone can be at least 50°C, or at least 60°C, or at least 70°C, or at least 75°C, or at least 80°C, or at least 90°C. In addition, or in the alternative, the temperature can be up to 160°C, or up to 150°C, or up to 140°C, or up to 135°C, or up to 130°C, or up to 125°C, or up to 115°C, or up to 110°C, or up to 100°C. In general, the reaction temperature is from 60°C to 115°C, or 60°C to 110°C, or 60°C to 105°C, or 60°C to 100°C, or 60°C to 95°C. [0318] Generally, the molar ratio of hydrogen to carbon monoxide introduced into the reactor, or in the reactor, is maintained within the range of about 0.1:1 to about 10:1, or 0.5:1 to 4:1, or 0.9:1 to 4:1, or 1:1 to 4:1. In many hydroformylations, the rate of reaction as well as yield of (C ₄ )-alkanal may be increased by increasing the hydrogen to carbon monoxide molar ratio above 4.0, and up to about 10.0 or more. In one embodiment, the sum of the absolute partial pressures of hydrogen and carbon monoxide may range from 15 psig to 430 psig. The partial pressure of hydrogen in the reactor can be maintained within the range of 35 psig to about 215 psig. The partial pressure of carbon monoxide in the reactor can be maintained within the range of 35 psig to 215 psig, or 40 psig to 110 psig. In one embodiment, the ratio of H ₂ to CO is from 0.9:1 – 1.1:1, which is particularly suitable for a high pressure hydroformylation process. In one embodiment, the ratio of H ₂ to CO is greater than 1:1, such as at least 1.1:1, or at least 1.2:1, or at least 1.3:1, or at least 1.4:1 or at least 1.5:1 or at least 1.7:1 or at least 2:1 or at least 2.1:1, which particularly suitable in a low pressure hydroformylation process. In addition or in the alternative, the ratio of H ₂ to CO can be up to 5:1, or up to 4.5:1, or up to 4 to 1, or up to 3.5:1, or up to 3:1, or up to 2.8:1, or up to 2.5:1. Generally, suitable H ₂ to CO molar ratios in a low pressure process range from at least 1.1:1 to 3:1, or 1.2:1 to 2.25:1, or 1.2:1 to 2:1. [0319] In the gas sparged reaction, the hydrogen plus carbon monoxide gas can be present in a molar excess (total moles of H ₂ +CO) with respect to propylene. Suitable molar ratios of syngas to propylene can range from 0.5 to about 20, or 1.2 to about 6. In a liquid overflow reactor, the molar ratio of syngas to propylene can be as low as 0.02:1. [0320] Suitable hydroformylation catalysts include any known to be effective to catalyze the conversion of propylene to (C ₄ )-alkanal. Examples of such catalysts are metals complexed with ligands. Suitable metals include the cobalt, rhodium, and ruthenium metals. The metal compounds that can be used as a source of metal for the catalyst complex include the metals in their +1, +2, or +3 oxidation states and can include di, tri, tetra metals, as compounds with carboxylic acids or carbonyl compounds. The catalyst may be hydridocarbonyl tris(triphenylphosphine) rhodium(I) premixed or formed in situ inside the liquid phase within the hydroformylation zone and introduced as a precursor such as acetylacetonatodicarbonyl rhodium(I) {Rh(CO) ₂ (acac)}, rhodium oxide {Rh ₂ O ₃ }, rhodium carbonyls {Rh ₄ (CO) ₁₂ , Rh6(CO) ₁₆ , tris(acetylacetonato) rhodium(I), {Rh(acac)3}, a triaryl phosphine-substituted rhodium carbonyl {Rh(CO) ₂ (PAr3)} ₂ , wherein Ar is an aryl group, or a di-rhodium tetraacetate dihydrate, rhodium(ll) acetate, rhodium(ll) isobutyrate, rhodium(ll) 2-ethylhexanoate, rhodium(ll) benzoate and rhodium(ll) octanoate, Rh ₄ (CO) ₁₂ , Rh ₆ (CO)i ₆ and rhodium(l) acetylacetonate dicarbonyl, and tris(triphenylphosphine) rhodium carbonyl hydride. [0321] Suitable ligands include organophosphine compounds such as tertiary (trisubstituted), mono- and bis-phosphines and phosphites and can be represented by the general formulas: wherein R ¹ , R ² and R ³ are the same or different and each is hydrocarbyl containing up to about 12 carbon atoms and R ⁴ is a divalent hydrocarbylene group which links the 2 phosphorus atoms through a chain of 2 to 8 carbon atoms. The ligands may also include fluorophosphite ester compounds. The amount of catalyst metal employed, based on the amount of r-propylene fed to the reactor zone, can be as little as about 1×10 ⁻⁶ moles of metal (e.g. rhodium, and calculated based on rhodium metal) per mole of olefin in the reactor zone can be employed. Concentrations in the range of about 1×10 ⁻⁵ to about 5×10 ⁻² moles of metal (e.g. rhodium) per mole of olefin can be used. Metal (e.g. rhodium) concentrations in the range of about 1×10 ⁻⁴ up to 1×10 ⁻³ are also useful and desirable given the balance of efficient utilization of metal against its cost. The upper catalyst concentration is essentially unlimited and appears to be dictated principally by the high cost of catalyst metal and any limitations on lack of yield increase with increased quantities of catalyst. Since r-propylene is the feed, the drive to high catalyst activity and high conversion dominates over selectivity concerns. Thus, catalysts quantities can be increased to increase reaction rates without generating undesirable amounts of isomers as would be the case when hydroformylating higher olefins. [0322] Conversion of the propylene molecules in the r-propylene can be at least 80%, or at least 85%, or at least 90%, or at least 95%, or at least 97%, or at least 98%, or at least 99%. [0323] The hydroformylation effluent, generated by hydroformylating the r- propylene with carbon monoxide and hydrogen, contains at least (C ₄ )-alkanal (or other aldehydes depending on the corresponding olefin employed). The hydroformylation effluent may also contain unreacted propylene, propane, carbon monoxide, hydrogen, solvent, and catalyst or catalyst ligands. In an embodiment or in combination with any other mentioned embodiments, the (C ₄ )-alkanal, or the hydroformylation effluent containing at least (C ₄ )-alkanal and at least one of the propylene, propane, carbon monoxide, hydrogen, solvent, and catalyst or catalyst ligands, is removed from the reactor as a gas. Alternatively, (C ₄ )-alkanal may be removed from the reactor as a liquid in combination with the catalyst. [0324] The hydroformylation effluent, such as a vapor, can be subjected to one or more separation processes to recover (C ₄ )-alkanal product, as a mixture or as a composition comprising predominantly butyraldehyde or predominantly isobutyraldehyde. For example, the hydroformylation effluent separated into a crude (C ₄ )-alkanal rich stream and a catalyst rich stream. The separation can occur by feeding the hydroformylation effluent to a separation zone in which is contained a first separation vessel. Any suitable vessels for separating gaseous components can be employed, such as a vapor liquid separator such as a knockout drum (horizontal, vertical, and side or tangential fed). [0325] The crude (C ₄ )-alkanal rich stream contains (C ₄ )-alkanal and hydrogen and optionally solvent, carbon monoxide, propane, propylene, ethane, ethylene, and methane along with other non-condensed gases. The crude (C ₄ )-alkanal stream is enriched in the concentration of (C ₄ )-alkanal relative to the concentration of (C ₄ )- alkanal in the hydroformylation effluent. The enriched (C ₄ )-alkanal can further be treated to separate the isomers of (C ₄ )-alkanal (i.e., butyraldehyde and isobutyraldehyde [0326] The crude (C ₄ )-alkanal rich stream is taken as a gaseous stream from the separator, desirably as an overhead. The catalyst rich stream contains catalyst ligands and optionally catalyst metal and solvent. It is enriched in the concentration of catalyst ligands relative to the concentration of catalyst ligands in the hydroformylation effluent. The catalyst rich stream is taken as a liquid from the separator, desirably as a bottoms stream. The catalyst rich stream can then be recycled back to the top half of the hydroformylation reactor directly or through intermediate steps to further process the stream before returning the catalyst ligands and optional catalyst metal and solvent back to the reactor. [0327] The crude (C ₄ )-alkanal rich stream is then further separated into a purified (C ₄ )-alkanal rich stream and a gas stream. The purified (C ₄ )-alkanal rich stream can be purified to isolate the isomers (i.e., butyraldehyde or isobutyraldehyde) of (C ₄ )alkanal. The crude (C ₄ )-alkanal rich stream can be separated in a second separation zone containing at least a second separation vessel. In the second separation zone, the crude (C ₄ )-alkanal rich stream can be cooled sufficiently to condense (C ₄ )alkanal, and the crude (C ₄ )-alkanal rich stream containing condensed (C ₄ )-alkanal and non-condensed gases can be fed to the second separation vessel such as a vapor liquid separator, e.g. a knock out vessel or flash drum or distillation column. [0328] The purified (C ₄ )-alkanal rich stream is enriched in the concentration of (C ₄ )-alkanal relative to the crude (C ₄ )-alkanal rich stream. It is desirably a liquid bottoms stream taken from a second separation vessel. [0329] The purified (C ₄ )-alkanal rich stream, desirably taken as a liquid underflow from the second separation vessel, can be recovered as product, or it can optionally be used as a wash in syngas scrubber. [0330] The hydroformylation of propylene to produce (C ₄ )-alkanal comprises butyraldehyde and isobutyraldehyde. The (C ₄ )-alkanal can be purified to enrich either butyraldehyde or isobutyraldehyde or both. The enrichment can be conducted by any purification process known in the art. However, a distillation process can be used to purify the isomers of (C ₄ )-alkanal. The purification of the isomers of (C ₄ )-alkanal can be purified in point after the (C ₄ )-alkanal is made. [0331] In one embodiment or in any of the mentioned embodiments, the (C ₄ )- alkanal is purified (e.g., distillation) to give an enriched butyraldehyde composition that can contain from 80 wt.% to 98 wt.% n-butyraldehyde, or from 85 wt.% to 98 wt.% n-butyraldehyde, or from 90 wt.% to 98 wt.% n-butyraldehyde, or from 95 wt.% to 98 wt.% n-butyraldehyde, or from 80 wt.% to 95 wt.% n-butyraldehyde, or from 85 wt.% to 95 wt.% n-butyraldehyde, or from 55 wt.% to 95 wt.% n-butyraldehyde, or from 60 wt.% to 95 wt.% n-butyraldehyde, or from 65 wt.% to 95 wt.% n- butyraldehyde, or from 70 wt.% to 95 wt.% n-butyraldehyde, or from 75 wt.% to 95 wt.% n-butyraldehyde, or from 80 wt.% to 90 wt.% n-butyraldehyde, or from 85 wt.% to 90 wt.% n-butyraldehyde, based on the weight of the total weight of the butyraldehyde composition. [0332] In one embodiment or in any of the mentioned embodiments, the (C ₄ )- alkanal is purified (e.g., distillation) to give an enriched isobutyraldehyde composition that can contain from 80 wt.% to 98 wt.% isobutyraldehyde, or from 85 wt.% to 98 wt.% isobutyraldehyde, or from 90 wt.% to 98 wt.% isobutyraldehyde, or from 95 wt.% to 98 wt.% isobutyraldehyde, or from 80 wt.% to 95 wt.% isobutyraldehyde, or from 85 wt.% to 95 wt.% isobutyraldehyde, or from 55 wt.% to 95 wt.% isobutyraldehyde, or from 60 wt.% to 95 wt.% isobutyraldehyde, or from 65 wt.% to 95 wt.% isobutyraldehyde, or from 70 wt.% to 95 wt.% isobutyraldehyde, or from 75 wt.% to 95 wt.% isobutyraldehyde, or from 80 wt.% to 90 wt.% isobutyraldehyde, or from 85 wt.% to 90 wt.% isobutyraldehyde, based on the weight of the total weight of the isobutyraldehyde composition. [0333] In one embodiment or in any of the mentioned embodiments, the amount of impurities present in the r-propylene composition, or the amount of impurities present in the (C ₄ )-alkanal composition made with a feed containing r-propylene, can be: a. formaldehyde: at least 2 ppm, or at least 5 ppm, or at least 10 ppm, or at least 15 ppm, or at least 20 ppm, or at least 25 ppm, or at least 30 ppm, or b. chloromethane: at least 1 ppm, or at least 2 ppm, or at least 5 ppm, or at least 10 ppm, or at least 15 ppm, or at least 20 ppm, or at least 30 ppm, or c. total nitrogen containing compounds: at least 0.5 ppm, or at least 1 ppm, or at least 2 ppm, or at least 5 ppm, or at least 10 ppm, or at least 15 ppm, or at least 20 ppm, or at least 30 ppm, or d. acetone: more than 25 ppb, or at least 30 ppb, or at least 50 ppb, or at least 100 ppb, or at least 500 ppb, or at least 1000 ppb, or e. methanol: more than 3, or at least 5, or at least 10, or at least 15, or at least 20, f. acetaldehyde: more than 5 ppm, or at least 10 ppm, or at least 15 ppm, or at least 20 ppm, or at least 30 ppm, g. oxygenated compounds other than acetone, methanol, CO, and CO ₂ : more than 0.5 ppm, or at least 0.75 ppm, or at least 1 ppm, or at least 2 ppm, or at least 5 ppm, or at least 10 ppm, or at least 15 ppm, or at least 20 ppm, or at least 30 ppm, or h. COS: 0.5 ppm, or at least 0.75 ppm, or at least 1 ppm, or at least 2 ppm, or at least 5 ppm, or at least 10 ppm, or at least 15 ppm, or at least 20 ppm, or at least 30 ppm, i. MAPD: more than 1 ppm, or at least 2 ppm, or at least 5 ppm, or at least 10 ppm, or at least 15 ppm, or at least 20 ppm, or at least 30 ppm. [0334] In one embodiment or in any of the aforementioned embodiments, the (C ₄ )-alkanal composition contains one or more of these impurities and may also contain aldol condensation products such as propanol leaving with the (C ₄ )-alkanal in the overhead of the hydroformylation reactor. [0335] The changes in the impurities that can be present in the (C ₄ )-alkanal composition either taken overhead from the hydroformylation reactor or in a recovered and/or isolated (C ₄ )-alkanal composition stream can be more evident when a r-propylene stream is fed to a hydroformylation reactor after feed a non-recycle propylene stream. Thus, there is also provided a method of introducing an impurity into an (C ₄ )-alkanal composition by: a. making (C ₄ )-alkanal with a first propylene feedstock; and b. making (C ₄ )-alkanal with a second r-propylene feedstock or pr- propylene feedstock, or optionally from cracking r-pyoil or obtained from r-pygas, and containing an impurity not present in, or in a greater amount than present in, the first propylene feedstock and having its origin in the cracking of recycle pyoil; and c. making an (C ₄ )-alkanal composition from step (b) containing ( ^C 4)- alkanal and the impurity, which composition can be an intermediate, a crude composition, or a refined composition; and d. optionally recovering the (C ₄ )-alkanal composition containing the impurity. [0336] In this technique, at least one impurity, or a variety of impurity kinds or amounts, resulting from the use a propylene feedstock at least a portion of which was obtained by pyrolyzing recycle waste, or optionally from cracking r-pyoil or obtained from r-pygas can be readily detected. Optionally, one or more of those impurities can be removed before recovering or isolating the (C ₄ )-alkanal composition, such as through distillation or solvent extraction. [0337] The above disclosure is applicable to acetaldehyde, propionaldehyde, n- butyraldehyde, isobutyraldehyde, 3-methyl-butanal, 2-methyl-butanal, 2,2-dimethyl- propanal, the anhydrides thereof, and the r-, pr-, and those that are obtained from cracking or gas cracking r-pyoil. [0338] There is also provided a use for an aldehyde derived directly or indirectly from cracking r-pyoil or obtained from r-pygas, the use including converting r- aldehyde in any synthetic process to make poly(vinyl acetal). [0339] There is also provided a use for a r-aldehyde allotment or an r-olefin allotment that includes converting an aldehyde in a synthetic process to make poly(vinyl acetal) and applying at least a portion of an r-aldehyde allotment or the r- olefin allotment to the poly(vinyl acetal). An r-aldehyde allotment or an r-olefin allotment is an allotment that is created by pyrolyzing recycled waste. Desirably, the allotments originate from the cracking of r-pyoil, or cracking of r-pyoil in a gas furnace, or from r-pygas. [0340] There is also provided a use for an aldehyde compound by reacting an aldehyde compound with an r-A to make an poly(vinyl acetal), where the r-A is derived directly or indirectly from pyrolyzing recycled waste, or cracking r-pyoil, optionally in a gas furnace. [0341] There is also provided a use for an aldehyde by reacting an AD with PVOH or PVAc to make an poly(vinyl acetal), and applying at least a portion of a recycle content allotment to at least a portion of the poly(vinyl acetal) to make a r- poly(vinyl acetal). At least a portion of the recycle inventory from which the recycle content allotment is applied to the poly(vinyl acetal) are allotments originating from pyrolyzing recycled waste. Desirably, the allotments originate from the cracking of r- pyoil, or cracking of r-pyoil in a gas furnace, or from r-pygas. Also, the allotment applied to the poly(vinyl acetal) can be a recycle content allotment originating from pyrolyzing recycled waste. [0342] In one embodiment or in combination with any of the mentioned embodiments, there is also provided a use of a recycle inventory by converting any aldehyde composition in a synthetic process to make an poly(vinyl acetal) composition (“PVA”); deducting a recycle content value from the recycle inventory and applying at least a portion of the deducted recycle content value to the PVA, and at least a portion of the inventory contains a recycle content allotment. The recycle content allotment can be present in the inventory at the time of deducting a recycle content value from the recycle inventory, or a recycle content allotment deposit is made into the recycle inventory before deducting a recycle content value (but need not be present or accounted for when a deduction is made), or it can be present within a year from the deduction, or within the same calendar year as the deduction, or within the same month as the deduction, or within the same week as the deduction. In one embodiment or in combination with any of the mentioned embodiments, the recycle content deduction is withdrawn against a recycle content allotment. [0343] In one embodiment or in combination with any of the mentioned embodiments, there is provided an poly(vinyl acetal) composition that is obtained by any of the methods described above. [0344] The same operator, owner, of Family of Entities may practice each of these steps, or one or more steps may be practiced among different operators, owners, or Family of Entities. [0345] The aldehyde, such an r-A, can be stored in a storage vessel and transferred to a PVA manufacturing facility by way of truck, pipe, or ship, or as further described below, the AD production facility can be integrated with the PVA facility. The aldehyde may be shipped or transferred to the operator or facility that makes the poly(vinyl acetal). [0346] In one embodiment or in combination with any of the mentioned embodiments, one may integrate two or more facilities and make r-PVA. The facilities to make r-PVA, the aldehyde, the olefins, and the r-pyoil and/or r-pygas, can be stand-alone facilities or facilities integrated to each other. For example, one may establish a system of producing and consuming a recycle aldehyde composition at least a portion of which is obtained from directly or indirectly from cracking r-pyoil or obtaining r-pygas; or a method of making r-PVA, as follows: a. providing an aldehyde manufacturing facility that produces at least in part an aldehyde composition (“AD”); b. providing an poly(vinyl acetal) manufacturing facility that makes an poly(vinyl acetal) composition (“PVA”) and comprising a reactor configured to accept AD; and c. feeding at least a portion of said AD from the aldehyde manufacturing facility to the poly(vinyl acetal) manufacturing facility through a supply system providing fluid communication between said facilities; wherein any one or both of the aldehyde manufacturing facility or poly(vinyl acetal) manufacturing facility makes or supplies a r-A or r-PVA, respectively, and optionally, wherein the aldehyde manufacturing facility supplies r-A to the PVA manufacturing facility through the supply system. [0347] The feeding in step c) can be a supply system providing fluid communication between these two facilities and capable of supplying an aldehyde composition from the aldehyde manufacturing facility to the PVA manufacturing facility, such as a piping system that has a continuous or discontinuous flow. [0348] The PVA manufacturing facility can make r-PVA, and can make the r- PVA directly or indirectly from the pyrolysis of recycled waste or the cracking of r- pyoil or from r-pygas. For example, in a direct method, the PVA manufacturing facility can make r-PVA by accepting r-aldehyde from the aldehyde manufacturing facility and feeding the r-aldehyde as a feed stream to a reactor to make PVA. Alternatively, the PVA manufacturing facility can make r-PVA by accepting any aldehyde composition from the aldehyde manufacturing facility and applying a recycle content to PVA made with the aldehyde composition by deducting recycle content value from its recycle inventory and applying them to the PVA, optionally in amounts using the methods described above. The allotments obtained and stored in recycle inventory can be obtained by any of the methods described above, and need not necessarily be allotments associated with r-aldehyde. [0349] In one embodiment or in combination with any of the mentioned embodiments, there is also provided a system for producing r-PVA as follows: a. provide an olefin manufacturing facility configured to produce an output composition comprising a recycle content propylene or recycle content ethylene or both (“r-olefin”); b. provide an AD manufacturing facility configured to accept an olefin stream from the olefin manufacturing facility and making an output composition comprising an aldehyde composition; c. provide an poly(vinyl acetal) (PVA) manufacturing facility having a reactor configured to accept an aldehyde composition and making an output composition comprising a r-PVA; and d. a supply system providing fluid communication between at least two of these facilities and capable of supplying the output composition of one manufacturing facility to another one or more of said manufacturing facilities. [0350] The PVA manufacturing facility can make r-PVA, and can make the r- PVA directly or indirectly from the pyrolysis of recycled waste. In this system, the olefin manufacturing facility can have its output in fluid communication with the AD manufacturing facility which in turn can have its output in fluid communication with the PVA manufacturing facility. Alternatively, the manufacturing facilities of a) and b) alone can be in fluid communication, or only b) and c). In the latter case, the PVA manufacturing facility can make r-PVA directly by having the r-olefin produced in the olefin manufacturing facility converted all the way to PVA, or indirectly by accepting any aldehyde composition from the AD manufacturing facility and applying a recycle content to PVA by deducting allotments from its recycle inventory and applying them to the PVA, optionally in amounts using the methods described above. The allotments obtained and stored in recycle inventory can be obtained by any of the methods described above, and need not necessarily be allotments associated with r- aldehyde or the r-olefins. For example, the allotments can be obtained from any facility or source, so long as they originate from the pyrolysis of recycled waste, or the cracking r-pyoil or obtained from r-pygas. [0351] The fluid communication can be gaseous, or liquid if compressed. The fluid communication need not be continuous and can be interrupted by storage tanks, valves, or other purification or treatment facilities, so long as the fluid can be transported from one facility to the subsequent facility through, for example, an interconnecting pipe network and without the use of truck, train, ship, or airplane. For example, one or more storage vessels may be placed in the supply system so that the r-A facility feeds r-A to a storage facility and r-A can be withdrawn from the storage facility as needed by the PVA manufacturing facility, with valving and pumps and compressors utilized an in line with the piping network as needed. Further, the facilities may share the same site, or in other words, one site may contain two or more of the facilities. Additionally, the facilities may also share storage tank sites, or storage tanks for ancillary chemicals, or may also share utilities, steam or other heat sources, etc., yet also be considered as discrete facilities since their unit operations are separate. A facility will typically be bounded by a battery limit. [0352] In one embodiment or in combination with any of the mentioned embodiments, the integrated process includes at least two facilities co-located within 5, or within 3, or within 2, or within 1 mile of each other (measured as a straight line). In one embodiment or in combination with any of the mentioned embodiments, at least two facilities are owned by the same Family of Entities. [0353] In one embodiment or in combination with any of the mentioned embodiments, there is also provided an integrated r-olefin and r-PVA generating and consumption system. This system includes: a. provide an olefin manufacturing facility configured to produce an output composition comprising a recycle content propylene or recycle content ethylene or both (“r-olefin”); b. provide an AD manufacturing facility configured to accept an olefin stream from the olefin manufacturing facility and making an output composition comprising an aldehyde composition; c. provide a PVA manufacturing facility having a reactor configured to accept an aldehyde composition and making an output composition comprising a r-PVA; and d. a piping system interconnecting at least two of said facilities, optionally with intermediate processing equipment or storage facilities, capable of taking off the output composition from one facility and accept said output at any one or more of the other facilities. [0354] The system does not necessarily require a fluid communication between the two facilities, although fluid communication is desirable. In this system, ethylene or propylene made at the olefin manufacturing facility can be delivered to the AD facility through the interconnecting piping network that can be interrupted by other processing equipment, such as treatment, purification, pumps, compression, or equipment adapted to combine streams, or storage facilities, all containing optional metering, valving, or interlock equipment. The equipment can be a fixed to the ground or fixed to structures that are fixed to the ground. The interconnecting piping does not need to connect to the AD reactor or the cracker, but rather to a delivery and receiving point at the respective facilities. The same concept applies between the AD facility and the PVA facility. The interconnecting pipework need not connect all three facilities to each other, but rather the interconnecting pipework can be between facilities a)-b), or b)-c), or between a)-b)-c). [0355] There can now also be provided a package or a combination of a r-PVA and a recycle content identifier associated with r-PVA, where the identifier is or contains a representation that the PVA contains, or is sourced from or associated with a recycle content. The package can be any suitable package for containing an poly(vinyl acetal), such as a plastic or metal drum, railroad car, isotainer, totes, polytotes, IBC totes, bottles, jerricans, ocean container, truck trailer, and polybags. The identifier can be a certificate document, a product specification stating the recycle content, a label, a logo or certification mark from a certification agency representing that the article or package contains contents or the PVA contains, or is made from sources or associated with recycle content, or it can be electronic statements by the PVA manufacturer that accompany a purchase order or the product, or posted on a website as a statement, representation, or a logo representing that the PVA contains or is made from sources that are associated with or contain recycle content, or it can be an advertisement transmitted electronically, by or in a website, by email, or by television, or through a tradeshow, in each case that is associated with PVA. The identifier need not state or represent that the recycle content is derived directly or indirectly from cracking r-pyoil or obtained from r-pygas. Rather, it is sufficient that the PVA is directly or indirectly obtained at least in part from the cracking of r-pyoil, and the identifier can merely convey or communicate that the PVA has or is sourced from a recycle content, regardless of the source. [0356] In one embodiment or in combination with any of the mentioned embodiments, there is provided a system or package comprising: a. poly(vinyl acetal)s (“PVA”), and b. an identifier (e.g. a credit, label or certification) associated with said poly(vinyl acetal), said identifier being a representation that said poly(vinyl acetal) has recycle content or is made from a source having recycle content. [0357] The system can be a physical combination, such as a package having at least some PVA as its contents and the package has a label, such as a logo, that the contents such as the PVA has or is sourced from a recycle content. Alternatively, the label or certification can be issued to a third party or customer as part of a standard operating procedure of an entity whenever it transfers or sells PVA having or sourced from recycle content. The identifier does not have to be physically on the PVA or on a package, and does not have to be on any physical document that accompanies or is associated with the PVA. For example, the identifier can be an electronic credit or certification or representation transferred electronically by the PVA manufacturer to a customer in connection with the sale or transfer of the PVA product, and by sole virtue of being a credit, it is a representation that the PVA has recycle content. The identifier, such as a label (such as a logo) or certification need not state or represent that the recycle content is derived directly or indirectly from cracking r-pyoil or obtained from r-pygas. Rather, it is sufficient that the PVA is directly or indirectly obtained at least in part either (i) from pyrolyzing recycled waste or (ii) from a recycle inventory into which at least a portion of the deposits or credits in the recycle inventory have their origin in pyrolyzing recycled waste. The identifier itself need only convey or communicate that the PVA has or is sourced from a recycle content, regardless of the source. In one embodiment or in combination with any of the mentioned embodiments, articles made from the PVA may have the identifier, such as a stamp or logo embedded or adhered to the article. In one embodiment or in combination with any of the mentioned embodiments, the identifier is an electronic recycle content credit from any source. In one embodiment or in combination with any of the mentioned embodiments, the identifier is an electronic recycle content credit derived directly or indirectly from pyrolyzing recycled waste. [0358] In one embodiment or in combination with any of the mentioned embodiments, there is provided a system or package comprising: a. a monolayer interlayer, a multilayer interlayer, or a glass laminate (any one being a “PVA containing article”) that in each case comprises PVA or PVB, and b. an identifier (e.g. a credit, label or certification) associated with said PVA containing article, said identifier being a representation that said PVA containing article has recycle content or is made from a source having recycle content. [0359] The PVA containing article is in combination with a recycle content identifier associated with the PVA containing article, where the identifier is or contains a representation that the PVA containing article contains, or is sourced from or associated with a recycle content. The identifier can be a certificate document, a product specification stating the recycle content, a label, a logo or certification mark from a certification agency representing that the PVA containing article contains, or is made from sources or associated with recycle content, or it can be electronic statements by the PVA manufacturer or by the PVA containing article manufacturer that accompany a purchase order or the product, or posted on a website as a statement, representation, or a logo representing that the PVA containing article contains or is made from sources that are associated with or contain recycle content, or it can be an advertisement transmitted electronically, by or in a website, by email, or by television, or through a tradeshow, in each case that is associated with the PVA containing article PVA, or it can be an embossing, etching, stamp, printing, pontil or punt mark, engraving, molding into, or label, in each case directly on or in the PVA containing article. The identifier need not state or represent that the recycle content is derived directly or indirectly from cracking r-pyoil or obtained from r-pygas. Rather, it is sufficient that the PVA is directly or indirectly obtained at least in part from the cracking of r-pyoil, and the identifier can merely convey or communicate that the PVA has or is sourced from a recycle content, regardless of the source. [0360] In one embodiment or in combination with any of the mentioned embodiments, the r-PVA, or articles made thereby, can be offered for sale or sold as containing or obtained with, or an article containing or obtained with, recycle content. The sale or offer for sale can be accompanied with a certification or representation of the recycle content claim made in association with the PVA or article made with the PVA. [0361] The obtaining of an allocation and designating (whether internally such as through a bookkeeping or a recycle inventory tracking software program or externally by way of declaration, certification, advertising, representing, etc) can be by the PVA manufacturer or within the PVA manufacturer Family of Entities. The designation of at least a portion of the PVA as corresponding to at least a portion of the allotment (e.g. allocation or credit) can occur through a variety of means and according to the system employed by the PVA manufacturer, which can vary from manufacturer to manufacturer. For example, the designation can occur internally merely through a log entry in the books or files of the PVA manufacturer or other inventory software program, or through an advertisement or statement on a specification, on a package, on the product, by way of a logo associated with the product, by way of a certification declaration sheet associated with a product sold, or through formulas that compute the amount deducted from recycle inventory relative to the amount of recycle content applied to a product. [0362] Optionally, the PVA can be sold. In one embodiment or in combination with any of the mentioned embodiments, there is provided a method of offering to sell or selling poly(vinyl acetal)s by: a. converting an aldehyde composition in a synthetic process to make poly(vinyl acetal) composition (“PVA”), b. applying a recycle content value to at least a portion of the PVA to thereby obtain a recycle PVA (“r-PVA”), and c. offering to sell or selling the r-PVA as having a recycle content or obtained or derived from recycled waste. [0363] An PVA manufacturer or its Family of Entities can obtain a recycle content allocation, and the allocation can be obtained by any of the means described herein and can be deposited into recycle inventory, the recycle content allocation derived directly or indirectly from the pyrolysis of recycled waste. The aldehyde converted in a synthetic process to make an poly(vinyl acetal) composition can be any aldehyde composition obtained from any source, including a non-r-A composition, or it can be a r- aldehyde composition. The r-PVA sold or offered for sale can be designated (e.g. labelled or certified or otherwise associated) as having a recycle content value. In one embodiment or in combination with any of the mentioned embodiments, at least a portion of the recycle content value associated with the r-PVA can be drawn from a recycle inventory. In another embodiment, at least a portion of the recycle content value in the PVA is obtained by converting r-A. The recycle content value deducted from the recycle inventory can be a non-pyrolysis recycle content value or can be a pyrolysis recycle content allocation; i.e. a recycle content value that has its origin in pyrolysis of recycled waste. The recycle inventory can optionally contain at least one entry that is an allocation derived directly or indirectly from pyrolysis of recycled waste. The designation can be the amount of allocation deducted from recycle inventory, or the amount of recycle content declared or determined by the PVA manufacturer in its accounts. The amount of recycle content does not necessarily have to be applied to the PVA product in a physical fashion. The designation can be an internal designation to or by the PVA manufacturer or its Family of Entities or a service provider in contractual relationship to the PVA manufacturer or its Family of Entities. The amount of recycle content represented as contained in the PVA sold or offered for sale has a relationship or linkage to the designation. The amount of recycle content can be a 1:1 relationship in the amount of recycle content declared on a PVA offered for sale or sold and the amount of recycle content assigned or designated to the PVA by the PVA manufacturer. [0364] The steps described need not be sequential, and can be independent from each other. For example, the steps a) and b) can be simultaneous, such as would be the case if employs a r-A composition to make the PVA since the r-A is both an aldehyde composition and has a recycle content allocation associated with it; or where the process of making PVA is continuous and the application of the PVA application of the recycle content value occurs during the manufacture of PVA. [0365] Turning again to the synthetic process for making r-PVA, the concentration of PVOH as introduced into a PVA reactor vessel can be at least 5 wt.%, or at least 8 wt.%, or at least 10 wt.%, or at least 13 wt.%, or at least 15 wt.%, or at least 17 wt.%, or at least 20 wt.%, based on the weight of the PVOH composition fed to the reactor vessel. The balance can be water, solvent, emulsifiers or surfactants, and catalyst. [0366] The PVOH composition or feedstock stream can be dissolved in a solvent such as water prior to introducing it into the reaction zone. The PVOH feedstock can be heated to 80-95°C prior to entering the reaction zone to dissolve the PVOH and optionally can be cooled after dissolution to room temperature or below prior to reaction with the AD in the presence of the acid catalyst. The PVOH stream can be mixed with the AD prior and fed as a combined stream into the reaction vessel, or it can be fed as a separate stream from the aldehyde stream. The acid catalyst may be contained in the PVOH composition or fed separately into the reaction vessel. [0001] The PVA reaction vessel can be a continuous stirred tank reactor desirably equipped with an agitator, impeller, or high shear mixer. Alternatively, the PVA reaction vessel can be an in line high shear mixer in a pipe. [0367] In the reaction zone, the temperature of the reaction can be ramped during the course of the reaction. For example, during at least a portion of the period of time in which the AD and the PVOH composition are combined, the temperature can be elevated to a first temperature, and subsequently the temperature can be raised to a second temperature higher than the first temperature. During at least 25% or the residence time, the reaction temperature can be maintained to at least about 50°C, or at least 60°C, and up to 110°C, or up to 100°C, or up to 95°C, or up to 90°C, or up to 85°C, or up to 80°C. During at least 25% of the time during a time when or after the entire amount of AD and PVOH composition are combined in a batch reaction, the reaction temperature can be raised at least 5°C higher than the first temperature, and up to 115°C. Alternatively, the reaction temperature can be from 50°C to 110°C for any period of time or for the entire residence time, or from 80-100°C. This is particularly the case when the reaction is continuous. [0368] The reaction pressure can proceed without applied pressure, or at or near atmospheric pressure. The residence time generally runs from 1 hour to 5 hours. Other details on making PVA are also described in Vinyl Acetal Polymers, in Encyclopedia of Polymer Science & Technology, 3 ^rd edition, Volume 8, pages 381 - 399, by B. E. Wade (2003), the entire disclosure of which are incorporated herein by reference to the extent not inconsistent with the present disclosure. [0369] The reaction can be batch, semi-batch or continuous. The reaction may take place in a single reaction vessel or two or more reaction vessels arranged in parallel or in series. The contents of the reactor are desirably agitated or stirred during the reaction. For example, the reactor can be a continuous stirred tank reactor equipped with a high shear mixer. [0370] When PVOH reacts with AD in the reaction zone, the PVA resin particles precipitate and form a reaction slurry, which can be withdrawn from reaction zone, neutralized, washed, and dried to a dry form that can be handled and shipped as dry particles. [0371] The structure of PVA polymer (or r-PVA or pr-PVA) withdrawn from the reaction zone is illustrated below: [0372] Taking the above structure of a polyvinyl butyral, the butyral or acetal content is based on the weight percentage of the unit A in the polymer, and OH content is based on the weight percentage of the unit B in the polymer (a PVOH moiety), and the acetate or ester content is based on the weight percentage of unit C in the polymer. [0373] In one embodiment, there is now provided a r-PVA having at least one monomer derived from pr-A. The pr-A can be directly or indirectly derived from the cracking of r-pyoil. The monomer unit derived from the pr-A would be unit A. The amount of monomer derived from pr-A in the acetal unit A can be 100 wt% of the amount of the acetal unit A or can be less. For example, a pr-A stream can be blended with an aldehyde composition that does not contain a recycle content, and in this case, the amount of acetal unit A obtained from pr-A would be proportional to the weight ratio of the aldehyde feedstock blend to make the PVA. For example, if 30 wt.% of the aldehyde feedstock is pr-A, the amount of acetal unit A obtained from a pr-A would alo be 30 wt.% based on the weight of the acetal unit A present in the PVA. Based on the weight of the PVA, if the amount of the acetal unit A is, for example, 80 wt.% based on the weight of the PVA, and amount of acetal unit A derived from the pr-A would be 0.3 x 80 wt.%, or 24 wt.% based on the weight of the PVA. Based on the weight of the acetal unit A present in the PVA, the amount of the acetal unit A derived from pr-A can be at least 1 wt.%, or at least 3 wt.%, or at least 5 wt.%, or at least 10 wt.%, or at least 15 wt.%, or at least 20 wt.%, or at least 30 wt.%, or at least 40 wt.%, or at least 50 wt.%, or at least 60 wt.%, or at least 70 wt.%, or at least 80 wt.%, or at least 90 wt.%, or at least 95 wt.%, or at least 98 wt.%, or 100 wt.%, based on the weight of the acetal unit A present in the PVA. [0374] Notably, for a given type of plasticizer, the compatibility of the plasticizer in the polymer is largely determined by the hydroxyl content of the PVA. PVA polymers with greater residual hydroxyl content are typically correlated with reduced plasticizer compatibility or capacity, typically due to the hydrophobicity of the plasticizer being more compatible with fewer hydrophilic groups present on the polymer chain. Conversely, polymers with a lower residual hydroxyl content typically will result in increased plasticizer compatibility or capacity. Generally, this correlation between the residual hydroxyl content of a polymer and plasticizer compatibility/capacity can be manipulated and exploited to allow for addition of the proper amount of plasticizer to the polymer resin and to stably maintain differences in plasticizer content between multiple interlayers. [0375] The hydroxyl group content of the r-PVA resin is not particularly limited, but suitable amounts are from at least about 6, or at least about 8, or at least about 10, or at least about 11, or at least about 12, or at least about 13, or at least about 14, or at least about 15, or at least about 16, or at least about 17, and in each case up to about 35 wt.% PVOH. For example, suitable weight percent (wt. %) hydroxyl groups ranges calculated as PVOH include about 6 to 35, or 6 to 30, or 6 to 25, or 6 to 23, or 6 to 20, or 6 to 18, or 6 to 17, or 6 to 16, or 6 to 15, or 7 to 35, or 7 to 30, or 7 to 25, or 7 to 23, or 7 to 20, or 7 to 18, or 7 to 17, or 7 to 16, or 7 to 15, or 8 to 35, or 8 to 30, or 8 to 25, or 8 to 23, or 8 to 20, or 8 to 18, or 8 to 17, or 8 to 16, or 8 to 15, or 9 to 35, or 9 to 30, or 9 to 25, or 9 to 23, or 9 to 20, or 9 to 18, or 9 to 17, or 9 to 16, or 9 to 15, or 10 to 35, or 10 to 30, or 10 to 25, or 10 to 23, or 10 to 20, or 10 to 18, or 10 to 17, or 10 to 16, or 10 to 15, or 11 to 35, or 11 to 30, or 11 to 25, or 11 to 23, or 11 to 20, or 11 to 18, or 11 to 17, or 11 to 16, or 11 to 15, or 12 to 35, or 12 to 30, or 12 to 25, or 12 to 23, or 12 to 20, or 12 to 18, or 12 to 17, or 12 to 16, or 12 to 15, or 13 to 35, or 13 to 30, or 13 to 25, or 13 to 23, or 13 to 20, or 13 to 18, or 13 to 17, or 13 to 16, or 13 to 15, or 14 to 35, or 14 to 30, or 14 to 25, or 14 to 23, or 14 to 20, or 14 to 18, or 14 to 17, or 14 to 16, or 14 to 15, or 15 to 35, or 15 to 30, or 15 to 25, or 15 to 23, or 15 to 20, or 15 to 18, or 15 to 17, or 15 to 16, or 16 to 35, or 16 to 30, or 16 to 25, or 16 to 23, or 16 to 20, or 16 to 18, or 16 to 17, or 17 to 35, or 17 to 30, or 17 to 25, or 17 to 23, or 17 to 20, or 17 to 18. If desired, the hydroxyl wt.% as PVOH chosen can be on the lower end of the ranges. In general, a r-PVA polymer having a lower hydroxyl wt.% has the capability of absorbing more plasticizer and absorbing it more efficiently. [0376] Where optical clarity is desired, however, the hydroxyl wt.% can have an influence on the refractive index of the r-PVA resin. The hydroxyl wt.% of the r- PVA) can be adjusted along with the amount of plasticizer to achieve the desired refractive index where optical clarity is desirable. For example, suitable ranges of hydroxyl wt.% calculated as PVOH units, can range from 15 to 25, or 15 to 23, or 15 to 20, or 15 to 18, or 15 to 17, or 15 to 16, or 16 to 25, or 16 to 23, or 16 to 20, or 16 to 18, or 16 to 17, or 17 to 25, or 17 to 23, or 17 to 20, or 17 to 18, can be selected to enhance the optical clarity of the monolithic interlayer sheet laminated to glass. [0377] The r-PVA resin can also comprise 20 wt.% or less, or 17 wt.% or less, or 15 wt. % or less of residual ester groups, including 13 wt. % or less, or 11 wt. % or less, or 9 wt. % or less, or 7 wt. % or less, or 5 wt. % or less, or 4 wt. % or less residual ester groups calculated as polyvinyl ester, e.g., acetate or unit C, and in combination with unit B, the balance is the an acetal, preferably butyraldehyde acetal, but optionally including other acetal groups in a minor amount, for example, a 2-ethyl hexanal group (see, for example, U.S. Patent No. 5,137,954, the entire disclosure of which is incorporated herein by reference). Suitable ranges of residual ester groups by wt.% include 0 to 20, or 0 to 17, or 0 to 15, or 0 to 13, or 0 to 11, or 0 to 9, or 0 to 7, or 0 to 5, or 0 to 41 to 20, or 1 to 17, or 1 to 15, or 1 to 13, or 1 to 11, or 1 to 9, or 1 to 7, or 1 to 5, or 1 to 4, or 1 to 20, or 1 to 17, or 1 to 15, or 1 to 13, or 1 to 11, or 1 to 9, or 1 to 7, or 1 to 5, or 1 to 4, or 2 to 20, or 2 to 17, or 2 to 15, or 2 to 13, or 2 to 11, or 2 to 9, or 2 to 7, or 2 to 5, or 2 to 4, or 3 to 20, or 3 to 17, or 3 to 15, or 3 to 13, or 3 to 11, or 3 to 9, or 3 to 7, or 3 to 5, or 3 to 4, or 3 to 20, or 3 to 17, or 3 to 15, or 3 to 13, or 3 to 11, or 3 to 9, or 3 to 7, or 3 to 5, or 3 to 4, or 4 to 20, or 4 to 17, or 4 to 15, or 4 to 13, or 4 to 11, or 4 to 9, or 4 to 7, or 4 to 5, or 6 to 20, or 6 to 17, or 6 to 15, or 6 to 13, or 6 to 11, or 6 to 9. As with the residual hydroxyl group measurement, the weight percent of residual ester groups (e.g. acetate) is based on the moiety in the polymer backbone onto which is linked the acetate group, including the pendant acetate group. [0378] The r-PVA resin used in the invention can also have an acetal content (unit A) of at least 50 wt.%, or at least 55 wt.%, or at least 60 wt.%, or at least 65 wt.%, or at least 70 wt.%, or at least 75 wt.%, or at least 80 wt.%, or at least 85 wt.%, or at least 90 wt.%. Additionally or in the alternative, the acetal content can be up to 94 wt.%, or up to 93 wt.%, or up to 92, wt.%, or up to 91.%, or up to 90 wt.%, or up to 89 wt.%, or up to 88 wt.%, or up to 86 wt.%, or up to 85 wt.%, or up to 84 wt.%, or up to 83 wt.%, or up to 82 wt.%, or up to 80 wt.%, or up to 78 wt.%, or up to 77 wt.%, or up to 75 wt.%, or up to 70 wt.%, or up to 65 wt.%. Suitable ranges of acetal content in the r-PVA resin used in the invention include 50 to 94, or 50 to 93, or 50 to 92, or 50 to 91, or 50 to 90, or 50 to 89, or 50 to 88, or 50 to 86, or 50 to 85, or 50 to 84, or 50 to 84, or 50 to 83, or 50 to 82, or 50 to 80, or 50 to 78, or 50 to 77, or 50 to 75, or 50 to 70, or 50 to 65, or 55 to 94, or 55 to 93, or 55 to 92, or 55 to 91, or 55 to 90, or 55 to 89, or 55 to 88, or 55 to 86, or 55 to 85, or 55 to 84, or 55 to 84, or 55 to 83, or 55 to 82, or 55 to 80, or 55 to 78, or 55 to 77, or 55 to 75, or 55 to 70, or 55 to 65, or 60 to 94, or 60 to 93, or 60 to 92, or 60 to 91, or 60 to 90, or 60 to 89, or 60 to 88, or 60 to 86, or 60 to 85, or 60 to 84, or 60 to 84, or 60 to 83, or 60 to 82, or 60 to 80, or 60 to 78, or 60 to 77, or 60 to 75, or 60 to 70, or 60 to 65, or 65 to 94, or 65 to 93, or 65 to 92, or 65 to 91, or 65 to 90, or 65 to 89, or 65 to 88, or 65 to 86, or 65 to 85, or 65 to 84, or 65 to 84, or 65 to 83, or 65 to 82, or 65 to 80, or 65 to 78, or 65 to 77, or 65 to 75, or 65 to 70, or 70 to 94, or 70 to 93, or 70 to 92, or 70 to 91, or 70 to 90, or 70 to 89, or 70 to 88, or 70 to 86, or 70 to 85, or 70 to 84, or 70 to 84, or 70 to 83, or 70 to 82, or 70 to 80, or 70 to 78, or 70 to 77, or 70 to 75, or 75 to 94, or 75 to 93, or 75 to 92, or 75 to 91, or 75 to 90, or 75 to 89, or 75 to 88, or 75 to 86, or 75 to 85, or 75 to 84, or 75 to 84, or 75 to 83, or 75 to 82, or 75 to 80, or 75 to 78, or 75 to 77, 80 to 94, or 80 to 93, or 80 to 92, or 80 to 91, or 80 to 90, or 89 to 89, or 80 to 88, or 80 to 86, or 80 to 85, or 80 to 84, or 80 to 83, or 80 to 82, 85 to 94, or 85 to 93, or 85 to 92, or 85 to 91, or 85 to 90, or 85 to 89, or 85 to 88, or 85 to 86, or 90 to 94, or 90 to 93, or 90 to 92. [0379] The acetal groups are not limited, and can be vinyl propynal groups, vinyl butyral groups, and the like, and are desirably vinyl butyral groups. [0380] The weight average molecular weight of the r-PVA layer, or at least one of the skin layers, is not particularly limited. The r-PVA resin can have a weight average molecular weight (M _w ) of at least 20,000, or at least 30,000, or at least 40,000, or at least 50,000, or at least 60,000, or at least 70,000, with no particular upper limit, although practically up to 300,000 Daltons is suitable, and in each case as measured by size exclusion chromatography using the low angle laser light scattering (SEC/LALLS) method of Cotts and Ouano in tetra-hydrofuran. The term “molecular weight” means the weight average molecular weight (Mw). The method for determining the molecular weight as set forth in this description includes using hexafluorisopropanol as the mobile phase (0.8 mL/minute). Each sample is prepared by weighing approximately 20 milligrams of resin into a 25 mL flask and adding 10 mL of the mobile phase. The flask is then placed in an automated shaking device until the polymer is fully dissolved. The analysis is performed using a three-detector system that includes a Viscotek GPCmax (with an autosampler, pump, and degasser), a Viscotek triple detector TDA302 (RALL/LALLS, Viscometer, and DRI combination) with a column oven (commercially available from Malvern Instruments, Malvern, UK). The separation is performed by three Viscotek mixed bed columns, including a type I-MB (one low and two high range molecular weight) maintained at 45°C. The complete detector set up is calibrated using a narrow poly(methyl methacrylate) standard (commercially available from Viscotek) with a reported molecular weight of 93.458, an intrinsic viscosity of 0.615, and a differential index of refraction (dn/dc) value of 0.1875. The refractive index of the mobile phase is 1.2649 and a dn/dc value of 0.189 is used for PVB. Viscotek Omnisec 4.7.0 software (commercially available from Malvern Instruments) is used for data calculations. [0381] Examples of suitable Mw ranges for the r-PVA layers include 20,000 to 300,000, or 20,000 to 250,000, or 20,000 to 220,000, or 20,000 to 200,000, or 20,000 to 190,000, or 20,000 to 170,000, or 20,000 to 160,000, or 20,000 to 140,000, or 20,000 to 120,000, or 20,000 to 100,000, or 20,000 to 90,000, or 20,000 to 70,000, or 30,000 to 300,000, or 30,000 to 250,000, or 30,000 to 220,000, or 30,000 to 200,000, or 30,000 to 190,000, or 30,000 to 170,000, or 30,000 to 160,000, or 30,000 to 140,000, or 30,000 to 120,000, or 30,000 to 100,000, or 30,000 to 90,000, or 30,000 to 70,000, or 40,000 to 300,000, or 40,000 to 250,000, or 40,000 to 220,000, or 40,000 to 200,000, or 40,000 to 190,000, or 40,000 to 170,000, or 40,000 to 160,000, or 40,000 to 140,000, or 40,000 to 120,000, or 40,000 to 100,000, or 40,000 to 90,000, or 40,000 to 70,000, or 70,000 to 300,000, or 70,000 to 250,000, or 70,000 to 220,000, or 70,000 to 200,000, or 70,000 to 190,000, or 70,000 to 170,000, or 70,000 to 160,000, or 70,000 to 140,000, or 70,000 to 120,000, or 70,000 to 100,000, or 70,000 to 90,000, or 90,000 to 300,000, or 90,000 to 250,000, or 90,000 to 220,000, or 90,000 to 200,000, or 90,000 to 190,000, or 90,000 to 170,000, or 90,000 to 160,000, or 90,000 to 140,000, or 90,000 to 120,000, or 90,000 to 100,000, or 120,000 to 300,000, or 120,000 to 250,000, or 120,000 to 220,000, or 120,000 to 200,000, or 120,000 to 190,000, or 120,000 to 170,000, or 120,000 to 160,000, or 120,000 to 140,000, or 160,000 to 300,000, or 160,000 to 250,000, or 160,000 to 220,000, or 160,000 to 200,000, or 160,000 to 190,000. [0382] The acid catalyst added to the PVA reaction vessel and present in the suspension of r-PVA removed from the reaction vessel is treated. To remove the acid catalyst and other impurities from the resin particles, the reaction slurry or diluted reaction slurry is neutralized in a washing step. The purpose of the washing process is to extract the non-reacted aldehyde as well as the remains of the acid catalyst. Washing can be carried out in a continuous countercurrent washing process, desirably by using water as the extraction liquid. Alternatively, the neutralization/washing step can occur inside the reaction zone. Desirably the reaction slurry is first withdrawn from the reaction zone followed by neutralizing and washing. Neutralization can occur by contacting and washing the acidic reaction slurry with water containing a base at a concentration and residence time sufficient to bring the pH of the slurry up to a value within 7.5 to 11, inclusive. [0383] Examples of suitable neutralizing agents (alkaline or bases) include sodium hydroxide, potassium hydroxide, ammonia, sodium acetate, sodium carbonate, sodium hydrogen carbonate, and potassium carbonate, cyclohexyl poly(vinyl alcohol) and dimethyl cyclohexyl poly(vinyl alcohol). [0384] Neutralization/washing can be conducted in one or multiple wash vessels in series or in parallel. When the desired pH is achieved, the resin slurry can be further washed with water to remove residual salts and reduce the temperature of the slurry in wash zone down to a temperature of about 15°C to 45°C. [0385] In one embodiment, the crude r-PVA solids are held in a wash liquid containing a water, a water miscible solvent for the resin, and an alkaline substance dissolved therein to neutralize the acidic reaction slurry, and held under active agitation and at a temperature of about 25°C to 60 C for a period of time, and thereafter washed with water to remove solvent therefrom and leave the resin in equilibrium with water, generally at a pH between 7.5 and 11.0, and thereafter drying the resin. [0386] The alkaline substances suitable for use in the steeping liquid are those sufficiently soluble and dissociated in water and which are stable and substantially non-volatile at the temperature of the process and which do not give rise to by- products harmful to the quality or stability of the r-PVA nor by action on the r-PVA. Desirably, the conditions, namely, the composition of the steeping liquid and the temperature of steeping, are satisfactory when the r-PVA resin particles being treated will agglomerate in the absence of agitation but will not agglomerate when undergoing active agitation. [0387] Among the water-miscible solvents particularly adapted for use in the washing liquid may be mentioned the lower aliphatic alcohols (e.g. methanol) and ketones, and dioxane. Other water-miscible solvents may be used. The proportion of the water-miscible solvent in the washing liquid will vary under specific conditions but ordinarily will range between 40% and 60%, by weight, for operation at room temperature but may be reduced for operation at higher temperatures. R-PVA resin is removed at suitable intervals and subjected to further washing with water, or by the use of progressively weaker mixtures of the solvent with water, and finally of water. Methanol is a good water-miscible solvent and can be used at a concentration of 50- 60%, by weight thereof, at a temperature of 45-55 C. The slurry is can then be cooled to below 40°C and drained. The precipitate can be agitated with fresh water and again drained, and this is repeated until the percentage of water miscible solvent in the wash liquid has been reduced to a satisfactory level, such as be not more than 5% by weight. At this point sufiicient dilute aqueous sodium hydroxide can be introduced to bring the pH to a steady value of between 8.0 and 9.0. The r-PVA resin can then be filtered and dried. [0388] For example, 8-15 wt.% aqueous solution of PVOH can be reacted with, in a stirred reactor along in the presence of an acid catalyst and an emulsifier, a r- butyraldehyde that is introduced gradually over a period of time, such as 30 minutes, at a temperature maintained between 5° and 12° C, and upon near completion or completion of r-butyraldhyde addition, the temperature of the mixture can be raised to a value between 60° and 80° C. over a period of an hour and a half to four hours. A neutralizing base can then be added into the mixture to raise the pH between 8 and 11 and the temperature is maintained between 60° and 80° C. for a period in excess of a quarter of an hour. The precipitated polyvinyl butyral can be separated from the mixture and a very fine powder having a predetermined hydroxyl ratio is obtained. [0389] In the above disclosure on synthesizing PVA, the AD may be r-A, or pr-A, or pr-A obtained directly or indirectly by cracking r-pyoil, optionally through a gas furnace. The PVA may be r-PVA, or pr-PVA, or pr-PVA obtained directly or indirectly from cracking r-pyoil, optionally through a gas furnace. [0390] Subsequent to or concurrent with at least one washing step, the resin particles are separated from the mother liquor by, for example, a continuous filtration process or by centrifugation. The separated resin particles can be dried using a continuous drying process such as fluidized bed drying, circulating fluidized bed drying, flash drying, or any other process that allows continuous processing and transport of the powders. [0391] Various additives can be added to reaction zone. For example, surfactants can be added to help control the size distribution of the particles and to counteract excessive agglomeration of the particles. [0392] The r-PVA composition, in one form, is a precipitated resin obtained from the reaction of AD with PVOH composition, and can be in the form of particles or a powder. Alternatively, the r-PVA composition can be provided as a suspension or emulsion, and even an aqueous suspension. [0393] In one embodiment, the r-PVA composition is provided as a dispersion. The dispersion can optionally be an aqueous dispersion. Dispersions containing r- PVA can be a performance enhancing additive or can be added to a water borne coating formulation to provide a water borne coating containing r-PVA. The r-PVA can provide good adhesion, toughness, and flexibility to the coating made with the coating formulation. [0394] Suitable applications, compositions, or formulations containing the r-PVA added as a dispersion include paint masks, spray booth coatings, equipment protection, surface decontamination formulations, chemical masks, leather coatings, can coatings, wire coatings, packaging coatings, paper coatings or sizing agents for wet laid products, wallpaper coatings, carpet backing tie layer adhesives, scrim reinforcements, parachute and seat belt harnesses, aircraft restraints, and as coatings on fibers for textiles to provide a silky feel. The dispersions containing r-PVB can adhere well to many surfaces, are stable, tough, flexibile, transparent, are good binders, and have versatile methods for application including dipping, rolling, spraying, or foaming. [0395] In one embodiment, the r-PVA particles are melt extruded into pellets or a sheet, such as a monolithic interlayer or multilayer interlayers for use in, for example, automobile and architectural safety glass and photovoltaic modules. Blocking agents can be added to an extruder to aid in preventing the pellets or sheets from sticking to each other when stacked or gathered into sacks as pellets. The term “sheet” or “monolithic sheet” or “monolithic interlayer” is a single unitary layer or sheet formed from the thermoplastic composition of the invention. The monolithic interlayer or a sheet can contain a combination of two or more different types of polymers if desired. [0396] The term “multilayer interlayer” is at least two layers, at least one of those layers is r-PVA resin and at least one of those layers is CE. The multiple layers may be separately extruded layers, co-extruded layers, or any combination of separately and co-extruded layers. Thus the multilayered interlayer could comprise, for example: two or more single-layer interlayers combined together (“plural-layer interlayer”); two or more layers co-extruded together (“co-extruded interlayer”); two or more co-extruded interlayers combined together; a combination of at least one single-layer interlayer and at least one co-extruded interlayer; and a combination of at least one plural-layer interlayer and at least one co-extruded interlayer. [0397] A multilayered interlayer comprises at least two polymer layers (e.g., a single layer or multiple layers co-extruded) disposed in direct or indirect contact with each other, desirably in direct contact with each other, wherein each layer comprises a polymer resin, as detailed more fully below. When 3 or more layers are employed, at least three of the layers can be referred to as skin layers and one or more one or more core layers. As used herein, “skin layer” generally refers to outer layers of the interlayer and “one or more core layers” generally refers to one or more of the inner layer(s) disposed between the skin layers. At least one side of a one or more core layers can be in direct contact with at least one side of a skin layers or may be indirect contact with a skin layers, such as through a polymer layer. Thus, one exemplary multilayer embodiment would be: a skin layer/core layer/skin layer), or skin/core, or a skin/core/skin/polymer, or a skin/core/core/skin), or a skin/core/core/skin/polymer, or a skin/core/skin/core/skin layer, where the skin layer is a PVA, and at least one of the PVA layers is a r-PVA. Any one or both of the poly(vinyl acetal) layers can be a r- PVA layer. The multilayer interlayer can also have more than three layers (e.g., 4, 5, 6, or up to 10 or more individual layers. In any of the above embodiments, at least one of the layers (whether a monolithic interlayer, multilayer interlayer, or co- extruded multilayer interlayers) is an r-interlayer (recycle content interlayer) or a pr- interlayer (pyrolysis recycle content interlayer) or a r-PVA containing interlayer. [0398] In one embodiment or in combination with any of the mentioned embodiments, at least one interlayer, or at least two, or all interlayers, in the above described multilayer interlayer structure contains r-PVA, or pr-PVA, or pr-PVA obtained directly or indirectly from cracking r-pyoil, optionally through a gas furnace. [0399] The amount of recycle content value in the r-PVA interlayer is not particularly limited, and can range from 1 wt.% to 100 wt.%. As noted above, one approach is to correlate the mass of r-A fed as a feedstock to the PVA reactor with the mass of the aldehyde moiety in the resulting PVA taking into account yield. Another approach is to apply a recycle content value deducted from a recycle inventory which can result in a PVA having up to 100% recycle content. [0400] In one embodiment, the Tg of the r-PVA layers can be less than 50°C. A low Tg value in a r-PVA layer can contribute to a higher glass/interlayer adhesion and/or a better ability to absorb impact energy. The Tg of at least one of the r-PVA layers can be 50°C or less, or not greater than 49°C, or not greater than 48°C, or not greater than 47°C, or not greater than 46°C, or not greater than 45°C, or not greater than 44°C, or not greater than 43°C, or not greater than 42°C, or not greater than 41°C, or not greater than 40°C, or not greater than 39°C, or not greater than 38°C, or not greater than 37°C, or not greater than 36°C, or not greater than 37°C, or not greater than 36°C, or not greater than 35°C, or not greater than 34°C, or not greater than 33°C, or not greater than 32°C, or not greater than 31°C, or not greater than 30°C, and in each case at least -20°C, or at least 0°C, or at least 25°C. [0401] The glass transition temperature (Tg) of the r-PVA layer is determined by rheometric dynamic analysis using the following procedure. The r-PVA sheet is molded into a sample disc of 25 millimeters (mm) in diameter. The r-PVA sample disc is placed between two 25 mm diameter parallel plate test fixtures of a Rheometrics Dynamic Spectrometer II. The r-PVA sample disc is tested in shear mode at an oscillation frequency of 1 Hertz as the temperature of the r-PVA sample is increased from −20 to 70° C. at a rate of 2° C./minute. The position of the maximum value of tan delta (damping) plotted as dependent on temperature is used to determine Tg. Experience indicates that the method is reproducible to within +/−1° C. [0402] A monolithic interlayer, or each of the r-PVA layers or skin layers of the multilayer interlayer may have a thickness of at least about 1 mil, or at least 5 mils, or at least 10 mils, or at least 15 mils, or at least 30 mils. There is no particular limit on how thick the r-PVA layer can be, but generally each layer can be up to 120 mils, or up to 95 mils, or up to 90 mils, or up to 80 mils, or up to 65 mils. [0403] Anti-blocking agents may also be added to reduce the level of blocking of the interlayer. Desirably, they are added to the monolithic interlayer or skin layer. Anti-blocking agents are known in the art, and any anti-blocking agent that does not adversely affect the properties of the interlayer may be used. A particularly preferred anti-blocking agent that can be successfully used as in the multilayer interlayer while not affecting optical properties of the interlayer or the adhesive properties of the interlayer to glass is a fatty acid amide (see, for example, US 6,825,255, the entire disclosure of which is incorporated herein). [0404] Other additives may be incorporated into the r-PVA layer to enhance its performance in a final product and impart certain additional properties to the interlayer. Such additives include, but are not limited to, dyes, pigments, stabilizers (e.g., ultraviolet stabilizers), antioxidants, flame retardants, IR absorbers or blockers (e.g., indium tin oxide, antimony tin oxide, lanthanum hexaboride (LaB ₆ ) and cesium tungsten oxide), processing aides, flow enhancing additives, lubricants, impact modifiers, nucleating agents, thermal stabilizers, UV absorbers, UV stabilizers, dispersants, surfactants, chelating agents, coupling agents, adhesives, primers, reinforcement additives, and fillers, among other additives known to those of ordinary skill in the art. [0405] The additives, in liquid, powder, or pellet form, are often used and can be mixed into the thermoplastic resin or plasticizer prior to arriving in the extruder device or combined with the thermoplastic resin inside the extruder device. These additives are incorporated into the thermoplastic composition, and by extension the resultant multilayer interlayer, to enhance certain properties of the interlayer and its performance in a multiple layer glass panel product. EXAMPLES r-Pyoil Examples 1-4 [0406] Table 1 shows the composition of r-pyoil samples by gas chromatography. The r-pyoil samples produced the material from waste high- and low-density polyethylene, polypropylene, and polystyrene. Sample 4 was a lab-distilled sample in which hydrocarbons greater than C21 were removed. The boiling point curves of these materials are shown in Figures 13-16. Table 1. Gas Chromatography Analysis of r-Pyoil Examples r-Pyoil Examples 5-10 [0407] Six r-pyoil compositions were prepared by distillation of r-pyoil samples. They were prepared by processing the material according the procedures described below. Example 5. r-Pyoil with at least 90% boiling by 350°C, 50% boiling between 95°C and 200°C, and at least 10% boiling by 60°C. [0408] A 250g sample of r-pyoil from Example 3 was distilled through a 30-tray glass Oldershaw column fitted with glycol chilled condensers, thermowells containing thermometers, and a magnet operated reflux controller regulated by electronic timer. Batch distillation was conducted at atmospheric pressure with a reflux rate of 1:1. Liquid fractions were collected every 20mL, and the overhead temperature and mass recorded to construct the boiling curve presented in Figure 17. The distillation was repeated until approximately 635g of material was collected. Example 6. r-Pyoil with at least 90% boiling by 150°C, 50% boiling between 80°C and 145°C, and at least 10% boiling by 60°C. [0409] A 150g sample of r-pyoil from Example 3 was distilled through a 30-tray glass Oldershaw column fitted with glycol chilled condensers, thermowells containing thermometers, and a magnet operated reflux controller regulated by electronic timer. Batch distillation was conducted at atmospheric pressure with a reflux rate of 1:1. Liquid fractions were collected every 20mL, and the overhead temperature and mass recorded to construct the boiling curve presented in Figure 18. The distillation was repeated until approximately 200g of material was collected. Example 7. r-Pyoil with at least 90% boiling by 350°C, at least 10% by 150°C, and 50% boiling between 220°C and 280°C. [0410] A procedure similar to Example 8 was followed with fractions collected from 120°C to 210°C at atmospheric pressure and the remaining fractions (up to 300°C, corrected to atmospheric pressure) under 75 torr vacuum to give a composition of 200g with a boiling point curve described by Figure 19. Example 8. r-Pyoil with 90% boiling between 250 - 300°C. [0411] Approximately 200g of residuals from Example 6 were distilled through a 20-tray glass Oldershaw column fitted with glycol chilled condensers, thermowells containing thermometers, and a magnet operated reflux controller regulated by electronic timer. One neck of the base pot was fitted with a rubber septum, and a low flow N2 purge was bubbled into the base mixture by means of an 18” long, 20-gauge steel thermometer. Batch distillation was conducted at 70 torr vacuum with a reflux rate of 1:2. Temperature measurement, pressure measurement, and timer control were provided by a Camille Laboratory Data Collection System. Liquid fractions were collected every 20mL, and the overhead temperature and mass recorded. Overhead temperatures were corrected to atmospheric boiling point by means of the Clausius- Clapeyron Equation to construct the boiling curve presented in Figure 20 below. Approximately 150g of overhead material was collected. Example 9. r-Pyoil with 50% boiling between 60 - 80°C. [0412] A procedure similar to Example 5 was followed with fractions collected boiling between 60°C and 230°C to give a composition of 200g with a boiling point curve described by Figure 21. Example 10. r-Pyoil with high aromatic content. [0413] A 250g sample of r-pyoil with high aromatic content was distilled through a 30-tray glass Oldershaw column fitted with glycol chilled condensers, thermowells containing thermometers, and a magnet operated reflux controller regulated by electronic timer. Batch distillation was conducted at atmospheric pressure with a reflux rate of 1:1. Liquid fractions were collected every 10-20mL, and the overhead temperature and mass recorded to construct the boiling curve presented in Figure 22. The distillation ceased after approximately 200g of material were collected. The material contains 34 weight percent aromatic content by gas chromatography analysis. [0414] Table 2 shows the composition of Examples 5-10 by gas chromatography analysis. Table 2. Gas Chromatography Analysis of r-Pyoil Examples 5-10. Examples 11-58 involving steam cracking r-pyoil in a lab unit. [0415] The invention is further illustrated by the following steam cracking examples. Examples were performed in a laboratory unit to simulate the results obtained in a commercial steam cracker. A drawing of the lab steam cracker is shown in Figure 11. Lab Steam Cracker 910 consisted of a section of 3/8 inch Incoloy ^TM tubing 912 that was heated in a 24-inch Applied Test Systems three zone furnace 920. Each zone (Zone 1922a, Zone 2922b, and Zone 3922c) in the furnace was heated by a 7-inch section of electrical coils. Thermocouples 924a, 924b, and 924c were fastened to the external walls at the mid-point of each zone for temperature control of the reactor. Internal reactor thermocouples 926a and 926b were also placed at the exit of Zone 1 and the exit of Zone 2, respectively. The r-pyoil source 930 was fed through line 980 to Isco syringe pump 990 and fed to the reactor through line 981a. The water source 940 was fed through line 982 to ICSO syringe pump 992 and fed to preheater 942 through line 983a for conversion to steam prior to entering the reactor in line 981a with pyoil. A propane cylinder 950 was attached by line 984 to mass flow controller 994. The plant nitrogen source 970 was attached by line 988 to mass flow controller 996. The propane or nitrogen stream was fed through line 983a to preheater 942 to facilitate even steam generation prior to entering the reactor in line 981a. Quartz glass wool was placed in the 1-inch space between the three zones of the furnace to reduce temperature gradients between them. In an optional configuration, the top internal thermocouple 922a was removed for a few examples to feed r-pyoil either at the mid-point of Zone 1 or at the transition between Zone 1 and Zone 2 through a section of 1/8 inch diameter tubing. The dashed lines in Figure 11 show the optional configurations. A heavier dashed line extends the feed point to the transition between Zone 1 and Zone 2. Steam was also optionally added at these positions in the reactor by feeding water from Isco syringe pump 992 through the dashed line 983b. r-Pyoil, and optionally steam, were then fed through dashed line 981b to the reactor. Thus, the reactor can be operated be feeding various combinations of components and at various locations. Typical operating conditions were heating the first zone to 600°C, the second zone to about 700°C, and the third zone to 375°C while maintaining 3 psig at the reactor exit. Typical flow rates of hydrocarbon feed and steam resulted in a 0.5 sec residence time in one 7-inch section of the furnace. The first 7-inch section of the furnace 922a was operated as the convection zone and the second 7-inch section 922b as the radiant zone of a steam cracker. The gaseous effluent of the reactor exited the reactor through line 972. The stream was cooled with shell and tube condenser 934 and any condensed liquids were collected in glycol cooled sight glass 936. The liquid material was removed periodically through line 978 for weighing and gas chromatography analysis. The gas stream was fed through line 976a for venting through a back-pressure regulator that maintained about 3 psig on the unit. The flow rate was measured with a Sensidyne Gilian Gilibrator-2 Calibrator. Periodically a portion of the gas stream was sent in line 976b to a gas chromatography sampling system for analysis. The unit could be was operated in a decoking mode by physically disconnecting propane line 984 and attaching air cylinder 960 with line 986 and flexible tubing line 974a to mass flow controlled 994. [0416] Analysis of reaction feed components and products was done by gas chromatography. All percentages are by weight unless specified otherwise. Liquid samples were analyzed on an Agilent 7890A using a Restek RTX-1 column (30 meters x 320-micron ID, 0.5-micron film thickness) over a temperature range of 35°C to 300°C and a flame ionization detector. Gas samples were analyzed on an Agilent 8890 gas chromatograph. This GC was configured to analyze refinery gas up to C ₆ with H ₂ S content. The system used four valves, three detectors, 2 packed columns, 3 micro-packed columns, and 2 capillary columns. The columns used were the following: 2 ft x 1/16 in, 1 mm i.d. HayeSep A 80/100 mesh UltiMetal Plus 41mm; 1.7 m x 1/16 in, 1 mm i.d. HayeSep A 80/100 mesh UltiMetal Plus 41mm; 2 m x 1/16 in, 1 mm i.d. MolSieve 13X 80/100 mesh UltiMetal Plus 41mm; 3 ft x 1/8 in, 2.1mm i.d. HayeSep Q 80/100 mesh in UltiMetal Plus; 8 ft x 1/8 in, 2.1mm i.d. Molecular Sieve 5A 60/80 mesh in UltiMetal Plus; 2m x 0.32mm, 5um thickness DB- 1 (123-1015, cut); 25m x 0.32mm, 8um thickness HP-AL/S (19091P-S12). The FID channel was configured to analyze the hydrocarbons with the capillary columns from C ₁ to C ₅ , while C ₆ / C ₆ + components are backflushed and measured as one peak at the beginning of the analysis. The first channel (reference gas He) was configured to analyze fixed gases (such as CO ₂ , CO, O2, N2, and H ₂ S.). This channel was run isothermally, with all micro-packed columns installed inside a valve oven. The second TCD channel (third detector, reference gas N2) analyzed hydrogen through regular packed columns. The analyses from both chromatographs were combined based on the mass of each stream (gas and liquid where present) to provide an overall assay for the reactor. [0417] A typical run was made as follows: Nitrogen (130 sccm) was purged through the reactor system, and the reactor was heated (zone1, zone 2, zone 3 setpoints 300°C, 450°C, 300°C, respectively). Preheaters and cooler for post-reactor liquid collection were powered on. After 15 minutes and the preheater was above 100°C, 0.1 mL/min water was added to the preheater to generate steam. The reactor temperature setpoints were raised to 450°C,600°C, and 350°C for zones 1, 2, and 3, respectively. After another 10 minutes, the reactor temperature setpoints were raised to 600°C, 700°C, and 375°C for zones 1, 2, and 3, respectively. The N2 was decreased to zero as the propane flow was increased to 130 sccm. After 100 min at these conditions either r-pyoil or r-pyoil in naphtha was introduced, and the propane flow was reduced. The propane flow was 104 sccm, and the r-pyoil feed rate was 0.051 g/hr for a run with 80% propane and 20 % r-pyoil. This material was steam cracked for 4.5 hr (with gas and liquid sampling). Then, 130 sccm propane flow was reestablished. After 1 hr, the reactor was cooled and purged with nitrogen.

Steam Cracking with r-Pyoil Example 1. [0418] Table 3 contains examples of runs made in the lab steam cracker with propane, r-pyoil from Example 1, and various weight ratios of the two. Steam was fed to the reactor in a 0.4 steam to hydrocarbon ratio in all runs. Nitrogen (5% by weight relative to the hydrocarbon) was fed with steam in the run with only r-pyoil to aid in even steam generation. Comparative Example 1 is an example involving cracking only propane. Table 3. Steam Cracking Examples using r-pyoil from Example 1. [0419] As the amount of r-pyoil used is increased relative to propane, there was an increase in the formation of dienes. For example, both r-butadiene and cyclopentadiene increased as more r-pyoil is added to the feed. Additionally, aromatics (C ₆ +) increased considerably with increased r-pyoil in the feed. [0420] Accountability decreased with increasing amounts of r-pyoil in these examples. It was determined that some r-pyoil in the feed was being held up in the preheater section. Due to the short run times, accountability was negatively affected. A slight increase in the slope of the reactor inlet line corrected the issue (see Example 24). Nonetheless, even with an accountability of 86% in Example 15, the trend was clear. The overall yield of r-ethylene and r-propylene decreased from about 50% to less than about 35% as the amount of r-pyoil in the feed increased. Indeed, feeding r- pyoil alone produced about 40% of aromatics (C ₆ +) and unidentified higher boilers (see Example 15 and Example 24). [0421] r-Ethylene Yield—r-Ethylene yield showed an increase from 30.7% to >32% as 15% r-pyoil was co-cracked with propane. The yield of r-ethylene then remained about 32% until >50% r-pyoil was used. With 100% r-pyoil, the yield of r- ethylene decreased to 21.5% due to the large amount of aromatics and unidentified high boilers (>40%). Since r-pyoil cracks faster than propane, a feed with an increased amount of r-pyoil will crack faster to more r-propylene. The r-propylene can then react to form r-ethylene, diene and aromatics. When the concentration of r- pyoil was increased the amount of r-propylene cracked products was also increased. Thus, the increased amount of dienes can react with other dienes and olefins (like r- ethylene) leading to even more aromatics formation. So, at 100% r-pyoil in the feed, the amount of r-ethylene and r-propylene recovered was lower due to the high concentration of aromatics that formed. In fact, the olefin/aromatic dropped from 45.4 to 1.4 as r-pyoil was increased to 100% in the feed. Thus, the yield of r-ethylene increased as more r-pyoil was added to the feed mixture, at least to about 50% r-pyoil. Feeding pyoil in propane provides a way to increase the ethylene/propylene ratio on a steam cracker. [0422] r-Propylene Yield—r-Propylene yield decreased with more r-pyoil in the feed. It dropped from 17.8% with propane only to 17.4% with 15% r-pyoil and then to 6.8% as 100% r-pyoil was cracked. r-Propylene formation did not decrease in these cases. r-Pyoil cracks at lower temperature than propane. As r-propylene is formed earlier in the reactor it has more time to converted to other materials—like dienes and aromatics and r-ethylene. Thus, feeding r-pyoil with propane to a cracker provides a way to increase the yield of ethylene, dienes and aromatics. [0423] The r-ethylene/r-propylene ratio increased as more r-pyoil was added to the feed because an increase concentration of r-pyoil made r-propylene faster, and the r-propylene reacted to other cracked products—like dienes, aromatics and r-ethylene. [0424] The ethylene to propylene ratio increased from 1.72 to 3.14 going from 100% propane to 100% r-pyoil cracking. The ratio was lower for 15% r-pyoil (0.54) than 20% r-pyoil (0.55) due to experimental error with the small change in r-pyoil feed and the error from having just one run at each condition. [0425] The olefin/aromatic ratio decreased from 45 with no r-pyoil in the feed to 1.4 with no propane in the feed. The decrease occurred mainly because r-pyoil cracked more readily than propane and thus more r-propylene was produced faster. This gave the r-propylene more time to react further —to make more r-ethylene, dienes, and aromatics. Thus, aromatics increased, and r-propylene decreased with the olefin/aromatic ratio decreasing as a result. [0426] r-Butadiene increased as the concentration of r-pyoil in the feed increased, thus providing a way to increase r-butadiene yield. r-Butadiene increased from 1.73% with propane cracking, to about 2.3% with 15-20% r-pyoil in the feed, to 2.63% with 33% r-pyoil, and to 3.02% with 50% r-pyoil. The amount was 2.88% at 100% r- pyoil. Example 24 showed 3.37% r-butadiene observed in another run with 100% r- pyoil. This amount may be a more accurate value based on the accountability problems that occurred in Example 15. The increase in r-butadiene was the result of more severity in cracking as products like r-propylene continued to crack to other materials. [0427] Cyclopentadiene increased with increasing r-pyoil except for the decrease in going from 15%-20% r-pyoil (from 0.85 to 0.81). Again, some experimental error was likely. Thus, cyclopentadiene increased from 0.48% cracking propane only, to about 0.85% at 15-20% r-pyoil in the reactor feed, to 1.01% with 33% r-pyoil, to 1.25 with 50% r-pyoil, and 1.58% with 100% r-pyoil. The increase in cyclopentadiene was also the result of more severity in cracking as products like r-propylene continued to crack to other materials. Thus, cracking r-pyoil with propane provided a way to increase cyclopentadiene production. [0428] Operating with r-pyoil in the feed to the steam cracker resulted in less propane in the reactor effluent. In commercial operation, this would result in a decreased mass flow in the recycle loop. The lower flow would decrease cryogenic energy costs and potentially increase capacity on the plant if it is capacity constrained. Additionally, lower propane in the recycle loop would debottleneck the r-propylene fractionator if it is already capacity limited. Steam Cracking with r-Pyoil Examples 1-4. [0429] Table 4 contains examples of runs made with the r-pyoil samples found in Table 1 with a propane/r-pyoil weight ratio of 80/20 and 0.4 steam to hydrocarbon ratio. Table 4. Examples using r-PyOil Examples 1-4 under similar conditions. [0430] Steam cracking of the different r-pyoil Examples 1-4 at the same conditions gave similar results. Even the lab distilled sample of r-pyoil (Example 19) cracked like the other samples. The highest r-ethylene and r-propylene yield was for Example 16, but the range was 48.01-49.43. The r-ethylene/r-propylene ratio varied from 1.76 to 1.84. The amount of aromatics (C ₆ +) only varied from 2.62 to 3.11. Example 16 also produced the smallest yield of aromatics. The r-pyoil used for this example (r-Pyoil Example 1, Table 1) contained the largest amount of paraffins and the lowest amount of aromatics. Both are desirable for cracking to r-ethylene and r- propylene. Steam Cracking with r-Pyoil Example 2. [0431] Table 5 contains runs made in the lab steam cracker with propane (Comparative Example 2), r-pyoil Example 2, and four runs with a propane/pyrolysis oil weight ratio of 80/20. Comparative Example 2 and Example 20 were run with a 0.2 steam to hydrocarbon ratio. Steam was fed to the reactor in a 0.4 steam to hydrocarbon ratio in all other examples. Nitrogen (5% by weight relative to the r- pyoil) was fed with steam in the run with only r-pyoil (Example 24). Table 5. Examples using r-Pyoil Example 2. [0432] Comparing Example 20 to Examples 21-23 shows that the increased feed flow rate (from 192 sccm in Example 20 to 255 sccm with more steam in Examples 21-23) resulted in less conversion of propane and r-pyoil due to the 25% shorter residence time in the reactor (r-ethylene and r-propylene: 49.3% for Example 20 vs 47.1, 48.1, 48.9% for Examples 21-23). r-Ethylene was higher in Example 21 with the increased residence time since propane and r-pyoil cracked to higher conversion of r-ethylene and r-propylene and some of the r-propylene can then be converted to additional r-ethylene. And conversely, r-propylene was higher in the higher flow examples with a higher steam to hydrocarbon ratio (Example 21-23) since it has less time to continue reacting. Thus, Examples 21-23 produced a smaller amount of other components: r-ethylene, C ₆ + (aromatics), r-butadiene, cyclopentadiene, etc., than found in Example 20. [0433] Examples 21-23 were run at the same conditions and showed that there was some variability in operation of the lab unit, but it was sufficiently small that trends can be seen when different conditions are used. [0434] Example 24, like example 15, showed that the r-propylene and r-ethylene yield decreased when 100% r-pyoil was cracked compared to feed with 20% r-pyoil. The amount decreased from about 48% (in Examples 21-23) to 36%. Total aromatics was greater than 20% of the product as in Example 15. Steam Cracking with r-Pyoil Example 3. [0435] Table 6 contains runs made in the lab steam cracker with propane and r- pyoil Example 3 at different steam to hydrocarbon ratios. Table 6. Examples using r-Pyoil Example 3. [0436] The same trends observed from cracking with r-pyoil Examples 1-2 were demonstrated for cracking with propane and r-pyoil Example 3. Example 25 compared to Example 26 showed that a decrease in the feed flow rate (to 192 sccm in Example 26 with less steam from 255 sccm in Example 25) resulted in greater conversion of the propane and r-pyoil due to the 25% greater residence time in the reactor (r-ethylene and r-propylene: 48.77% for Example 22 vs 49.14% for the lower flow in Example 26). r-Ethylene was higher in Example 26 with the increased residence time since propane and r-pyoil cracked to higher conversion of r-ethylene and r-propylene and some of the r-propylene was then converted to additional r- ethylene. Thus, Example 25, with the shorter residence time produced a smaller amount of other components: r-ethylene, C ₆ +(aromatics), r-butadiene, cyclopentadiene, etc., than found in Example 26. Steam Cracking with r-Pyoil Example 4. [0437] Table 7 contains runs made in the lab steam cracker with propane and pyrolysis oil sample 4 at two different steam to hydrocarbon ratios. Table 7. Examples using Pyrolysis Oil Example 4. [0438] The results in Table 7 showed the same trends as discussed with Example 20 vs Examples 21-23 in Table 5 and Example 25 vs Example 26 in Table 6. At a smaller steam to hydrocarbon ratio, higher amounts of r-ethylene and r-propylene and higher amounts of aromatics were obtained at the increased residence time. The r- ethylene/r-propylene ratio was also greater. [0439] Thus, comparing Example 20 with Examples 21-23 in Table 5, Example 25 with Example 26, and Example 27 with Example 28 showed the same effect. Decreasing the steam to hydrocarbon ratio decreased the total flow in the reactor. This increased the residence time. As a result, there was an increase in the amount of r-ethylene and r-propylene produced. The r-ethylene to r-propylene ratio was larger which indicated that some r-propylene reacted to other products like r-ethylene. There was also an increase in aromatics(C ₆ +) and dienes. Examples of Cracking r-Pyoils from Table 2 with Propane [0440] Table 8 contains the results of runs made in the lab steam cracker with propane (Comparative example 3) and the six r-pyoil samples listed in Table 2. Steam was fed to the reactor in a 0.4 steam to hydrocarbon ratio in all runs. [0441] Examples 30, 33, and 34 were the results of runs with r-pyoil having greater than 35% C4-C7. The r-pyoil used in Example 40 contained 34.7% aromatics. Comparative Example 3 was a run with propane only. Examples 29, 31, and 32 were the results of runs with r-pyoil containing less than 35% C4-C7. Table 8. Examples of steam cracking with propane and r-pyoils. [0442] The examples in Table 8 involved using an 80/20 mix of propane with the various distilled r-pyoils. The results were like those in previous examples involving cracking r-pyoil with propane. All the examples produced an increase in aromatics and dienes relative to cracking propane only. As a result, the olefins to aromatic ratio was lower for cracking the combined feeds. The amount of r-propylene and r- ethylene produced was 47.01-48.82% for all examples except for the 46.31% obtained with the r-pyoil with 34.7% aromatic content (using r-pyoil Example 10 in Example 34). Except for that difference, the r-pyoils performed similarly, and any of them can be fed with C-2 to C-4 in a steam cracker. r-Pyoils having high aromatic content like r-pyoil Example 10 may not be the preferred feed for a steam cracker, and a r-pyoil having less than about 20% aromatic content should be considered a more preferred feed for co-cracking with ethane or propane. Steam Cracking r-Pyoil with Ethane [0443] Table 9 shows the results of cracking ethane and propane alone, and cracking with r-pyoil Example 2. The examples from cracking either ethane or ethane and r-pyoil were operated at three Zone 2 control temperatures: 700°C, 705°C, and 710°C.

 [0444] A limited number of runs with ethane were made. As can be seen in the Comparative Examples 5-7 and Comparative Example 3, conversion of ethane to products occurred more slowly than with propane. Comparative Example 5 with ethane and Comparative Example 3 with propane were run at the same molar flow rates and temperatures. However, conversion of ethane was only 52% (100% – 46% ethane in product) vs 75% for propane. However, the r-ethylene/r-propylene ratio was much higher (67.53 vs 1.65) as ethane cracking produced mainly r-ethylene. The olefin to aromatics ratio for ethane cracking was also much higher for ethane cracking. The Comparative Examples 5-7 and Examples 41-43 compare cracking ethane to an 80/20 mixture of ethane and r-pyoil at 700°C, 705°C and 710°C. Production of total r-ethylene plus r-propylene increased with both ethane feed and the combined feed when the temperature was increased (an increase from about 46% to about 55% for both). Although the r-ethylene to r-propylene ratio decreased for ethane cracking with increasing temperature (from 67.53 at 700°C to 60.95 at 705°C to 54.13 at 710°C), the ratio increased for the mixed feed (from 20.59 to 24.44 to 28.66). r-Propylene was produced from the r-pyoil and some continued to crack generating more cracked products such as r-ethylene, dienes and aromatics. The amount of aromatics in propane cracking with r-pyoil at 700°C (2.86% in Comparative Example 8) was about the same as cracking ethane and r-pyoil at 710°C (2.79% in Example 43). [0445] Co-cracking ethane and r-pyoil required higher temperature to obtain more conversion to products compared to co-cracking with propane and r-pyoil. Ethane cracking produced mainly r-ethylene. Since a high temperature was required to crack ethane, cracking a mixture of ethane and r-pyoil produced more aromatics and dienes as some r-propylene reacted further. Operation in this mode would be appropriate if aromatics and dienes were desired with minimal production of r-propylene. Example 59 - Plant Test [0446] About 13,000 gallons from tank 1012 of r-pyoil were used in the plant test as show in Figure 12. The furnace coil outlet temperature was controlled either by the testing coil (Coil-A 1034a or Coil-B 1034b) outlet temperature or by the propane coil (Coil C 1034c, coil D 1034d through F) outlet temperature, depending on the objective of the test. In Figure 12 the steam cracking system with r-pyoil 1010; 1012 is the r-pyoil tank; 1020 is the r-pyoil tank pump; 1024a and 1226b are TLE (transfer line exchanger); 1030a, b, c is the furnace convection section; 1034a, b, c, d are the coils in furnace firebox (the radiant section); 1050 is the r-pyoil transfer line; 1052a, b are the r-pyoil feed that is added into the system; 1054a, b, c, d are the regular hydrocarbon feed; 1058a, b, c, d- are dilution steam; 1060a and 1060b are cracked effluent. The furnace effluent is quenched, cooled to ambient temperature and separated out condensed liquid, the gas portion is sampled and analyzed by gas chromatograph. [0447] For the testing coils, propane flow 1054a and 1054b were controlled and measured independently. Steam flow 1058a and 1058b were either controlled by Steam/HC ratio controller or in an AUTO mode at a constant flow, depending on the objective of the test. In the non-testing coils, the propane flow was controlled in AUTO mode and steam flow was controlled in a ratio controller at Steam/Propane=0.3. [0448] r-pyoil was obtained from tank 1012 through r-pyoil flow meters and flow control valves into propane vapor lines, from where r-pyoil flowed along with propane into the convection section of the furnace and further down into the radiant section also called the firebox. Figure 12 shows the process flow. [0449] The r-pyoil properties are shown in and Table 10 and figure 23. The r- pyoil contained a small amount of aromatics, less than 8 wt.%, but a lot of alkanes (more than 50%), thus making this material as a preferred feedstock for steam cracking to light olefins. However, the r-pyoil had a wide distillation range, from initial boiling point of about 40°C to an end point of about 400°C, as shown in Table 10 and figures 24 and 25, covering a wide range of carbon numbers (C ₄ to C ₃₀ as shown in Table 10). Another good characteristic of this r-pyoil is its low sulfur content of less than 100ppm, but the r-pyoil had high nitrogen (327ppm) and chlorine (201ppm) content. The composition of the r-pyoil by gas chromatography analysis is shown in Table 11. Table 10. Properties of r-pyoil for plant test.

[0450] Before the plant test started, eight (8) furnace conditions (more specifically speaking, eight conditions on the testing coils) were chosen. These included r-pyoil content, coil outlet temperature, total hydrocarbon feeding rate, and the ratio of steam to total hydrocarbon. The test plan, objective and furnace control strategy are shown in Table 12. “Float Mode” means the testing coil outlet temperature is not controlling the furnace fuel supply. The furnace fuel supply is controlled by the non-testing coil outlet temperature, or the coils that do not contain r-pyoil. Table12. Plan for the plant test of r-pyoil co-cracking with propane. Effect of Addition of r-Pyoil [0451] The results of r-Pyoil addition can be observed differently depending on how propane flow, steam/HC ratio and furnace are controlled. Temperatures at crossover and coil outlet changed differently depending on how propane flow and steam flow are maintained and how the furnace (the fuel supply to the firebox) was controlled. There were six coils in the testing furnace. There were several ways to control the furnace temperature via the fuel supply to the firebox. One of them was to control the furnace temperature by an individual coil outlet temperature, which was used in the test. Both a testing coil and a non-testing coil were used to control the furnace temperature for different test conditions. Example 59.1 - At fixed propane flow, steam/HC ratio and furnace fuel supply (Condition 5A) [0452] In order to check the r-pyoil 1052a addition effect, propane flow and steam/HC ratio were held constant, and furnace temperature was set to control by a non-testing coil (Coil-C) outlet temperature. Then r-pyoil 1052a, in liquid form, without preheating, was added into the propane line at about 5% by weight. [0453] Temperature changes: After the r-pyoil 1052a addition, the crossover temperature dropped about 10°F for A and B coil, COT dropped by about 7°F as shown in Table 13. There are two reasons that the crossover and COT temperature dropped. One, there was more total flow in the testing coils due to r-pyoil 1052a addition, and two, r-pyoil 1052a evaporation from liquid to vapor in the coils at the convection section needed more heat thus dropping the temperature down. With a lower coil inlet temperature at the radiant section, the COT also dropped. The TLE exit temperature went up due to a higher total mass flow through the TLE on the process side. [0454] Cracked gas composition change: As can be seen from the results in Table 13, methane and r-ethylene decreased by about 1.7 and 2.1 percentage points, respectively, while r-propylene and propane increased by 0.5 and 3.0 percentage points, respectively. The propylene concentration increased as did the propylene:ethylene ratio relative to the baseline of no pyoil addition. This was the case even though the propane concentration also increased. Others did not change much. The change in r-ethylene and methane was due to the lower propane conversion at the higher flow rate, which was shown by a much higher propane content in the cracked gas. Table 13. Changes When Hydrocarbon Mass Flow Increases By Adding r-pyoil To Propane At 5% At Constant Propane Flow, Steam/HC Ratio And Firebox Condition. Example 59.2 At fixed total HC flow, steam/HC ratio and furnace fuel supply (Conditions 1A, 1B, & 1C) [0455] In order to check how the temperatures and crack gas composition changed when the total mass of hydrocarbons to the coil was held constant while the percent of r-pyoil 1052a in the coil varied, steam flow to the testing coil was held constant in AUTO mode, and the furnace was set to control by a non-testing coil (Coil-C) outlet temp to allow the testing coils to be in Float Mode. The r-pyoil 1052a, in liquid form, without preheating, was added into propane line at about 5, 10 and 15% by weight, respectively. When r-pyoil 1052a flow was increased, propane flow was decreased accordingly to maintain the same total mass flow of hydrocarbon to the coil. Steam/HC ratio was maintained at 0.30 by a constant steam flow. [0456] Temperature Change: As the r-pyoil 1052a content increased to 15%, crossover temperature dropped modestly by about 5°F, COT increased greatly by about 15°F, and TLE exit temperature just slightly increased by about 3°F, as shown in Table 14A. [0457] Cracked gas composition change: As r-pyoil 1052a content in the feed increased to 15%, methane, ethane, r-ethylene, r-butadiene and benzene in cracked gas all went up by about 0.5, 0.2, 2.0, 0.5, and 0.6 percentage points, respectively. r- Ethylene/r-propylene ratio went up. Propane dropped significantly by about 3.0 percentage points, but r-propylene did not change much, as shown in Table 14A. These results showed the propane conversion increased. The increased propane conversion was due to the higher COT. When the total hydrocarbon feed to coil, steam/HC ratio and furnace fuel supply are held constant, the COT should go down when crossover temperature drops. However, what was seen in this test was opposite. The crossover temperature declined but COT went up, as shown in Table 14A. This indicates that r-pyoil 1052a cracking does not need as much heat as propane cracking on the same mass basis.

Example 59.3 At constant COT and steam/HC ratio (Conditions 2B, & 5B) [0458] In the previous test and comparison, effect of r-pyoil 1052a addition on cracked gas composition was influenced not only by r-pyoil 1052a content but also by the change of COT because when r-pyoil 1052a was added, COT changed accordingly (it was set to Float Mode). In this comparison test, COT was held constant. The test conditions and cracked gas composition are listed in Table 14B. By comparing the data in Table 14B, the same trend in cracked gas composition was found as in the case Example 59.2. When r-pyoil 1052a content in the hydrocarbon feed was increased, methane, ethane, r-ethylene, r-butadiene in cracked gas went up, but propane dropped significantly while r-propylene did not change much. Table 14B. Changing r-Pyoil 1052a content in HC feed at constant coil outlet temperature. Example 59.4 Effect of COT on Effluent Composition with R-pyoil 1052a in feed (Conditions 1C, 2B, 2C, 5A & 5B) [0459] r-Pyoil 1052a in the hydrocarbon feed was held constant at 15% for 2B, and 2C. r-pyoil for 5A and 5B were reduced to 4.8%. The total hydrocarbon mass flow and steam to HC ratio were both held constant. [0460] On cracked gas composition. When COT increased from 1479°F to 1514°F (by 35°F), r-ethylene and r-butadiene in the cracked gas went up by about 4.0 and 0.4 percentage points, respectively, and r-propylene went down by about 0.8 percentage points, as shown in Table 15. [0461] When r-pyoil 1052a content in the hydrocarbon feed was reduced to 4.8%, the COT effect on the cracked gas composition followed the same trend as that with 15% r-Pyoil 1052a.

Example 59.5 Effect of steam/HC ratio (Conditions 4A & 4B). [0462] Steam/HC ratio effect is listed in Table 16A. In this test, r-pyoil 1052a content in the feed was held constant at 15%. COT in the testing coils was held constant in SET mode, while the COTs at non-testing coils were allowed to float. Total hydrocarbon mass flow to each coil was held constant. [0463] On temperature. When steam/HC ratio was increased from 0.3 to 0.5, the crossover temperature dropped by about 17°F since the total flow in the coils in the convection section increased due to more dilution steam, even though the COT of the testing coil was held constant. Due to the same reason, TLE exit temperature went up by about 13F. [0464] On cracked gas composition. In the cracked gas, methane and r-ethylene were reduced by 1.6 and 1.4 percentage points, respectively, and propane was increased by 3.7 percentage points. The increased propane in the cracked gas indicated propane conversion dropped. This was due to, firstly, a shorter residence time, since in the 4B condition, the total moles (including steam) going into the coils was about 1.3 times of that in 2°C condition (assuming the average molecular weight of r-pyoil 1052a was 160), and secondly, to the lower crossover temperature which was the inlet temperature for the radiant coil, making the average cracking temperature lower.

Table 16A. Effect of steam/HC ratio. (r-Pyoil in the HC feed at 15%, total hydrocarbon mass flow and COT were held constant). [0465] On cracked gas composition. In the cracked gas, methane and r-ethylene were reduced by 1.6 and 1.4 percentage points, respectively, and propane was increased [0466] Renormalized cracked gas composition. In order to see what the lighter product composition could be if ethane and propane in the cracked gas would be recycled, the cracked gas composition in Table 16A was renormalized by taking off propane or ethane+propane. The resulting composition is listed in the lower part of Table 16B. It can be seen, olefin (r-ethylene + r-propylene) content went up with steam/HC ratio. Table 16B. Renormalized cracked gas composition. (R-pyoil in the HC feed at 15%, total hydrocarbon mass flow and COT were held constant). [0467] Effect of total hydrocarbon feed flow (Conditions 2C & 3B). An increase in total hydrocarbon flow to the coil means a higher throughput but a shorter residence time, which reduces conversion. With r-pyoil 1052a at 15% in the HC feed, a 10% increase of the total HC feed brought about a slight increase in the propylene:ethylene ratio along with an increase in the concentration of propane without a change in ethane, when COT was held constant. Other changes were seen on methane and r-ethylene. Each dropped about 0.5 ~0.8 percentage points. The results are listed in Table 17. Table 17. Comparison of more feed to coil (Steam/HC ratio=0.3, COT is held constant at 1497F). [0468] r-pyoil 1052a is successfully co-cracked with propane in the same coil on a commercial scale furnace.