Problem 2.54

One mole of an ideal gas with heat capacity at constant pressure $C_{p}$ undergoes the process $T=T_{0}+\alpha V,$ where $T_{0}$ and $\alpha$ are constants. Find: (a) heat capacity of the gas as a function of its volume; (b) the amount of heat transferred to the gas, if its volume increased from $V_{1}$ to $V_{2}$.