An ideal gas has a molar heat capacity \( C_{V} \) at constant volume. Find the molar heat capac...

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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:
\[
p=\bar{p}_{0} \bar{e}^{\alpha V} \text {, }
\]
where \( T_{0}, p_{0} \), and \( \alpha \) are constants.
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