Question $2(10$ Marks$)$

Calculate the molar volume of saturated liquid and the molar volume of saturated vapours for the Propane at $40C,$ where $P_{\text{s}\text{a}\text{t}}=\frac{13\mathrm{.}71}{b}ar,$ using the following:

$($a$)$ Ideal Gas Equation

$($b$)$ Redlich$/$Kwong equation

$($c$)$ Redlich$-$Kwong$-$Soave

$($d$)$ Peng$-$Robinson

$($e$)$ The Pitzer generalized compressibility$-$factor correlation.