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First law of thermodynamics, heat capacity

Problem 2.46

2.46.2.46 . In a certain polytropic process the volume of argon was increased α=4.0\alpha=4.0 times. Simultaneously, the pressure decreased β=8.0\beta=8.0 times. Find the molar heat capacity of argon in this process, assuming the gas to be ideal.

Reveal Answer
 2.46. C=R(n−γ)/(n−1)(γ−1)=−4.2 J/(K⋅mol), where n=ln⁡β/ln⁡α\begin{aligned} &\text { 2.46. } C=R(n-\gamma) /(n-1)(\gamma-1)=-4.2 \mathrm{~J} /(\mathrm{K} \cdot \mathrm{mol}), \text { where }\\ &n=\ln \beta / \ln \alpha \end{aligned}
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