Thermodynamics Relations - Proof 8

For the Vander Waals gas

From the proof, given as Equn.7.5,

   à (8.1)

For Vander Waals gas,

i.e.,

   à (8.2)

differentiating with respect to T at constant V,

   à (8.3)

Substituting for in Equn.8.1,

   à (8.4)

By using Equn.8.2,

   à (8.5)