All Problems

Second law of thermodynamics, entropy

Problem 2.125

Find the efficiency of a cycle consisting of two isochoric and two isothermal lines if the volume varies v-fold and the absolute temperature τ \tau -fold within the cycle. The working substance is an ideal gas with the adiabatic exponent γ\gamma.

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