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 \( \tau \)-fold within the cycle. The working substance is an ideal gas with the adiabatic exponent \(\gamma\).

Reveal Answer
η=(τ1)lnvτlnv+(τ1)/(γ1)\eta=\frac{(\tau-1) \ln v}{\tau \ln v+(\tau-1) /(\gamma-1)}