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Second law of thermodynamics, entropy

Problem 2.124

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

Reveal Answer
 (a) η=1−γ(n−1)n−1+(γ−1)nln⁡n (b) η=1−n−1+(γ−1)ln⁡nγ(n−1)\text { (a) } \eta=1-\frac{\gamma(n-1)}{n-1+(\gamma-1) n \ln n} \text { (b) } \eta=1-\frac{n-1+(\gamma-1) \ln n}{\gamma(n-1)}
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