Ethylene oxide is produced by the catalytic oxidation of ethylene:

CzH$4+/02$ CH$40$

An undesired competing reaction is the combustion of ethylene:

CzH$4+30)2$CO$)+2$H$,0$

The mixed feed to the reactor contains three moles of CH$4$ per mole of O$2.$

The fractional conversion of ethylene in the reactor is $20\mathrm{.}0\%$ and the yield of ethylene oxide based on ethylene consumed is $80\mathrm{.}0\%.$ A multiple unit process is used to separate the products. The C$,$H$4$ and O$2$ are recycled back to the reactor, CzH$40$ is sold as a product and the CO$)$ and H$0$ are discarded. Calculate the molar flow rates of O; and and CzH$4$ in the fresh feed needed to produce $1500$ kg CH$,0/$hr$.$ Also calculate the overall conversion, the overall yield based on the ethylene fed and composition of the recycle stream if the fresh feed contains $1\mathrm{.}00\%$ non$-$reactive impurities and $10\mathrm{.}0\%$ of the recycle stream is purged.