For the property change: s(T2, v2) - s(T1,v1)

(a) express the property change in integral form, where the integrand includes only heat capacity and terms associated with the equation of state.

(b) Integrate the expression from (a) to find a simplified expression for s(T2,v2) - s(T1,v1) if the fluid is an ideal gas.

(c) Integrate and find s(T2,v2)-s(T1,v1) for a fluid that follows the van der Waals equation of state.