One mole of an ideal gas whose adiabatic exponent equals undergoes a process p = P0 + a/V, where P0 and a are positive constants.

One mole of an ideal gas whose adiabatic exponent equals γ undergoes a process p = P0 + a/V, where P0 and a are positive constants. Find:
(a) Heat capacity of the gas as a function of its volume;
(b) The internal energy increment of the gas, the work performed by it, and the amount of heat transferred to the gas, if its volume increased from V1 to V2.