All Problems

Second law of thermodynamics, entropy

Problem 2.126

Find the efficiency of a cycle consisting of two isobaric and two isothermal lines if the pressure varies \(n\) -fold and the absolute temperature \(\tau\) -fold within the cycle. The working substance is an ideal gas with the adiabatic exponent \(\gamma\).

Reveal Answer
η=(τ−1)ln⁡nτln⁡n+(τ−1)γ/(γ−1)\eta=\frac{(\tau-1) \ln n}{\tau \ln n+(\tau-1) \gamma /(\gamma-1)}
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