All Problems

Second law of thermodynamics, entropy

Problem 2.134

Find the entropy increment of v=2.0v=2.0 moles of an ideal gas whose adiabatic exponent γ=1.30\gamma=1.30 if, as a result of a certain process, the gas volume increased α=2.0\alpha=2.0 times while the pressure dropped β=3.0\beta=3.0 times.

Reveal Answer
ΔS=(γ]ln⁡α−ln⁡β)vR/(γ−1)=−11 J/K\Delta S=(\gamma] \ln \alpha-\ln \beta) v R /(\gamma-1)=-11 \mathrm{~J} / \mathrm{K}
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