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Second law of thermodynamics, entropy

Problem 2.123

An ideal gas with the adiabatic exponent γ\gamma goes through a direct (clockwise) cycle consisting of adiabatic, isobaric, and isochoric lines. Find the efficiency of the cycle if in the adiabatic process the volume of the ideal gas (a) increases nn -fold; (b) decreases nn -fold.

Reveal Answer
 (a) η=1−γn−1nγ−1 (b) η=1−nγ−1γ(n−1)nγ−1\text { (a) } \eta=1-\gamma \frac{n-1}{n^{\gamma}-1} \text { (b) } \eta=1-\frac{n^{\gamma}-1}{\gamma(n-1) n^{\gamma-1}}
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