Could you please solve and provide numeric answers with steps, it's needed little urgently, Thank you. Assume n$-$octane follows van der Waals equation, calculate:

a$.$ Molar volume and the compressibility factor of n$-$octane at $427\mathrm{.}85$ K and

$0\mathrm{.}10133$ MPa

b$.$ Departure functions of: $($i$)$ molar volume $($ii$)$

chemical potential

c$.$ Fugacity coefficient of n$-$octane