Vinyl chloride is used to make polyvinyl chloride, or PVC$,$ a widely used plastic with many

applications. As part of the process to produce vinyl chloride, ethylene is reacted with

chlorine gas to produce $1,2-$dichloroethane. $1,2-$dichloroethane is then heated to produce

vinyl chloride. You are tasked with designing a flash drum to remove unreacted ethylene

from $1,2-$dichloroethane before the heating step so the ethylene can be recycled to the

reactor. $90mo\frac{l}{s}$ of a mixture of $86$mol$\%1,2-$dichloroethane $($DCE$)$ and $14$mol$\%$ ethylene

$($E$)$ at $298\mathrm{.}15K$ is to be flashed from $5$ bar to $2$ bar. The desired liquid composition is $97$

mol$\%1,2-$dichloroethane. Assume Raoult's Law applies $($an ideal mixture$).$ Antione's

Equation $(lo{g}_{10})$ parameters are given below for $P(\frac{?}{\text{b}\text{a}\text{r}})$ and $T(K).$

a$.$ Draw a process flow diagram and do a degree of freedom analysis.

b$.$ Calculate the temperature $(K)$ of the flash drum and the molar flow rates

$(mo\frac{l}{s})$ and compositions of the product streams analytically.