Develop a block diagram showing all of the constituent process reactions $($one reaction or process per block$)$ required to produce common PET polyester $($polyethyleneterephthalate$)$ via the DMT Route starting from fundamental raw materials such as natural gas methane $($CH$4),$ natural gas condensate ethane $($C$2$H$6),$ crude oil naphtha $($assume normal octane, C$8$H$18)),$ air $($N$2$ and O$2),$ and water $($H$2$O$).$ Write balanced chemical equations for every reaction. Considering the overall supply chain and its component balances, comment on recycle possibilities among these constituent processes within the supply chain.