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 feedrecycle stream is preheated to $450C.$

$($a$)$ Faking a basis of $2$ mol of ethylene entering the reactor, draw and label a flowchart of the complete 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 $(k.J)$ for the entire process and that for the reactor alone.

Data for gaseous ethylene oxide

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

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

where $T$ is in kelvins.

$($c$)$ Calculate the flow rate $(k\frac{g}{h})$ and composition of the fresh feed, the overall conversion of ethylene, and the overall process and reactor heat requirements $)$ for a production rate of $1500kg{C}_2{H}_{4}O/$ day. Briefly explain the reasons for separating and recycling the ethylene$-$oxygen stream.

$($d$)$ One of the attributes of this process defined in the problem statement is extremely unreatistic. What is it$?$