An ideal gas has an adiabatic exponent y. In some process its molar heat capacity varies as

Question:

An ideal gas has an adiabatic exponent y. In some process its molar heat capacity varies as C = a/T, where a is a constant. Find:
(a) The work performed by one mole of the gas during its heating from the temperature To the temperature η times higher;
(b) The equation of the process in the variables iv, V.