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 $T(K).$

$,A,B,C$

Ethylene $3\mathrm{.}87261,584\mathrm{.}146,-18\mathrm{.}307$

$1,2-$Dichloroethane $4\mathrm{.}585181521\mathrm{.}789-24\mathrm{.}67$

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 $($mol$/$s$)$ and compositions of the product streams analytically.

i$.$ Write out equations used to solve and specifications used in Excel Solver to calculate the final answer.

c$.$ Determine the temperature $(K),$ molar flow rates $($mol$/$s$),$ and compositions graphically $($Use the Txy graph at end of document$).$

Problem $2$ Graph