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For the case of an ideal gas find the eq...

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.

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