One mole 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 of heat transferred to the gas, of its volume increased from `V_1` to `V_2`.

Answer

`DeltaU=p_0(V_2-V_1)//(gamma-1);A =p_0(V_2 -V_1)+alpha ln(V_2//V_1);Q=gamma p_0(V_2-V_1)//(gamma-1)+alpha ln(V_2//V_1)`