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 \(V_{2}\).