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An ideal gas with heat capacity at constant volume $\mathrm{C}_{\mathrm{V}}$ undergoes a quasistatic process described by $\mathrm{PV}^{\alpha}$ in a P-V diagram, where $\alpha$ is a constant. The heat capacity of the gas during this process is given by-
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Verified Answer
The correct answer is:
$\mathrm{C}_{\mathrm{V}}+\frac{\mathrm{nR}}{1-\alpha}$
Direct formula is to be used
$$
\mathrm{C}=\mathrm{Cv}+\frac{\mathrm{nR}}{1-\alpha}
$$
$$
\mathrm{C}=\mathrm{Cv}+\frac{\mathrm{nR}}{1-\alpha}
$$
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