$9\mathrm{.}26.$ Ethylene oxide is produced by the catalytic oxidation of ethylene:

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

An undesired competing reaction is the combustion of ethylene to $C{O}_2.$

The feed to a reactor contains $2mol{C}_2\frac{H_4}{m}ol{O}_2.$ The conversion and yield in the reactor

are respectively $25\%$ and $0\mathrm{.}70mol{C}_2{H}_{4}O$ produced$/$mol $C_2{H}_4$ consumed. A multiple$-$unit process

separates the reactor outlet stream components: $C_2{H}_4$ and $O_2$ are recycled to the reactor, $C_2{H}_{4}O$

is sold, and $C{O}_2$ and $H_{2}O$ are discarded. The reactor inlet and outlet streams are each at $450C,$

and the fresh feed and all species leaving the separation process are at $25C.$ The combined fresh

feed$-$recycle stream is preheated to $450C.$

$($a$)$ Taking a basis of $2$mol of ethylene entering the reactor, draw and label a flowchart of the com$-$

plete process $($show the separation process as a single unit$)$ and calculate the molar amounts and

compositions of all process streams.

$($b$)$ Calculate the heat requirement $(kJ)$ for the entire process and that for the reactor alone.

Data for $C_2{H}_{4}O(g{)}_{?}$

$hat(H{)}_f=-51\mathrm{.}00k\frac{J}{m}ol$

$C_p[\frac{J}{\text{m}\text{o}\text{l}*K}]=-4\mathrm{.}69+0\mathrm{.}2061T-9\mathrm{.}995{10}^{-5}{T}^2$

where $T$ is in kelvin.

$($c$)$ Calculate the flow rate $(k\frac{g}{h})$ and composition of the fresh feed and the overall and reactor heat

requirements $(kW)$ for a production rate of $1500kg{C}_2{H}_4\frac{O}{?}$ day.