All Problems

Second law of thermodynamics, entropy

Problem 2.136

One mole of an ideal gas with the adiabatic exponent γ\gamma goes through a polytropic process as a result of which the absolute temperature of the gas increases τ\tau -fold. The polytropic constant equals nn. Find the entropy increment of the gas in this process.

Reveal Answer
ΔS=(nγ)R(n1)(γ1)lnτ\Delta S=\frac{(n-\gamma) R}{(n-1)(\gamma-1)} \ln \tau