Calculate compressibility factor and molar volume of ethylene at $300K$ and $10$ bar using

a$)$ Ideal gas law

b$)$ Truncated virial equation with the following values for virfal coefficients: $B=-140c{m}^3$

$mo{l}^{-1},C=7200c{m}^{6}mo{l}^{-2}.$

$[$ marks$]$