Problem 2.53

One mole of an ideal gas whose adiabatic exponent equals $\gamma$ undergoes a process $p=p_{0}+\alpha / V,$ where $p_{0}$ and $\alpha$ 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 $V_{1}$ to $V_{2}$.