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 nn -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=(τ1)lnnτlnn+(τ1)γ/(γ1)\eta=\frac{(\tau-1) \ln n}{\tau \ln n+(\tau-1) \gamma /(\gamma-1)}