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Break down polymer(polyethylene) through pyrolysis method?i need assistance in getting a {complete balanced chemical reaction)? Edit

am working on a project to produce ammonia from natural gas and plastic in the solid form as another feedstock,i have choosen polyethene as my solid form plastic now i need to break it down to shorter chained hydrocarbon.

i need to break down polymer(polyethylene) through pyrolysis method hoping to get short chained hydrocarbon,i need assistance in getting a {complete balanced chemical reaction)?? for the thermal decomposition of polyethelene??