For an ideal gas the molar heat capacity varies as `C=C_V+3aT^2`. Find the equation of the process in the variables (T,V) where a is a constant.

For an ideal gas,the molar heat capacity varies as C=C V +aV where a is a constant,V: volume and C V ) is specific heat of constant volume.The relation between T&V is given by T : temperature,V :volume,R : gas constant)

For the case of an ideal gas find the equation of the process (in the variables T, V ) in which the molar heat capacity varies as : (a) C = C_V + alpha T , (b) C = C_V + beta V , ( c) C = C_v + ap , where alpha, beta and a are constants.

For an ideal monoatomic gas, molar heat capacity at constant volume (C_(v)) is

One mole of an ideal gas with heat capacity C_V goes through a process in which its entropy S depends on T as S = alpha//T , where alpha is a constant. The gas temperature varies from T_1 to T_2 Find : (a) the molar heat capacity of the gas as function of its temperature , (b) the amount of heat transferred to the gas , ( c) the work performed by the gas.

For an ideal gas the equation of a process for which the heat capacity of the gas varies with temperatue as C=(alpha//T(alpha) is a constant) is given by