Question $3(10$ Marks$)$

Calculate $Z$ and $V$ for ethylene at $25C$ and $12$ bars by the following equations:

$B=-140c{m}^{3}mo{l}^{-1}$;$C=7200c{m}^{6}mo{l}^{-2}$

$($a$)$ The truncated virial equation.

$($b$)$ The truncated virial equation, with a value of B from the generalized Pitzer correlation

$($c$)$ The Redlich$/$Kwong equation

$($d$)$ The Soave$/$Redlich$/$Kwong equation

$($e$)$ The Peng$/$Robinson equation