$[20]$ Ethylene oxide is produced by the catalytic oxidation of ethylene:

$C_2{H}_4+\frac{1}{2}{O}_2{C}_2{H}_{4}O$

An undesired competing reaction is the combustion of ethylene:

$C_2{H}_4+3O_{2}2C{O}_2+2H_{2}O$

The mixed feed to the reactor contains three moles of $C_2{H}_4$ 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 $C_2{H}_4$ and $O_2$ are recycled back to the reactor, $C_2{H}_{4}O$ is sold as a product and the $C{O}_2$ and $H_{2}O$ are discarded. Calculate the molar flow rates of $O_2$ and and $C_2{H}_4$ in the fresh feed needed to produce $1500kg{C}_2{H}_4\frac{O}{h}r.$ 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.