Question

For a Van der Waals gas find :

(a) the equation of the adiabatic curve in the variables T, V;

(b) the difference of the molar heat capacities Cp - C_v as a function of T and V.

Answer 1

(a) From the first law for an adiabatic

dQ = dU+pdV = 0

From the equation 

This equation can be integrated if we assume that C_v and b are constant then