Question: 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

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 = Cv + aT;
(b) C = Cv + βV;
(e) C = Cv + ap,
Where a, β, and a are constants.

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