A plant produces ethylene oxide $($EO$,$ C$2$H$4$O$)$ from the reaction of ethylene $($E$,$ C$2$H$4)$ and

oxygen $($O$,$ O$2).$ The process includes three different unit operations. The fresh feed to the

process is $196$kmol$/$hr of E and $84\mathrm{.}5$kmol$/$hr O$.$ The fresh feed mixes with a recycle stream

before entering a reactor. In the reactor, there is a $6\%$ single pass conversion of the E fed to

the reactor. The exiting stream from the reactor enters a separator. The separator removes

$97\%$ of the EO product. The remainder of EO goes in the recycle stream which mixes with fresh

feed. The separator removes $98\%$ of the E entering the unit and recycles this back into the

process with the remainder exiting with the EO product. The separator removes $99\mathrm{.}5\%$ of the O

entering the unit and recycles this back into the process with the remainder exiting with the EO

product.

a$)$ Balance the reaction;

b$)$ Sketch the flowsheet, labeling the fresh feed as Stream $1,$ the stream into the reactor

Stream $2,$ the stream into the separator Stream $3,$ the product Stream $4$ and the recycle

Stream $5.$