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An ideal gas has a molar heat capacity C...

An ideal gas has a molar heat capacity `C_v` at constant volume. Find the molar heat capacity of this gas as a function of its volume `V`, if the gas undergoes the following process :
(a) `T = T_0 e^(alpha v)` ,
(b) `p = p_0 e^(alpha v)`,
where `T_0, p_0`, and `alpha` are constants.

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