How to solve

$[$PVTsim$]$ This is a question regarding phase envelope and equilibrium concept.

a$.$ Using PVTsim with the PR EOS, show the following on the same P$-$T figure:

PT cross section for the equimolar mixture of $C_2$ and $n{C}_5$

Vapor pressure curve of $C_2$

Vapor pressure curve of $n{C}_5.$

Indicate the critical point of the equimolar mixture clearly.

b$.$ On the same figure, add another PT cross section for $10$mol$\%C_2$ and $90$ mol$\%n{C}_5.$ Indicate clearly the critical point for this mixture.

c$.$ Consider the mixing of two fluids vec$(x)$ and vec$(y),$ where vec$(x)=\left[\begin{array}{c}0\mathrm{.}1\\ 0\mathrm{.}9\end{array}\right]$ and vec$(y)=\left[\begin{array}{c}0\mathrm{.}5\\ 0\mathrm{.}5\end{array}\right].$ That is$,$ vec$(x)$ represents $10$mol$\%C_2$ and $90$mol$\%n{C}_5($part $"$b$"),$ and vec$(y)$ represents the equimolar mixture $($part $"$a$").$ Read the

$2$

$($approximate$)$ intersection of the dew$-$point curve for vec$(y)$ and the bubble$-$point curve of vec$(x).$

It is approximately $370K$ and $1255$kPa.

d$.$ Consider the mixing of $L$ moles of vec$(x)$ with $V$ moles of vec$(y),$ in which $L+V=1.$ What is the resulting overall composition vec$(Z)($you can pick a value for $L.$ vec$(Z)cvec(x)vec(y)0$

Part d