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Second law of thermodynamics, entropy

Problem 2.137

The expansion process of \(v=2.0\) moles of argon proceeds so that the gas pressure increases in direct proportion to its volume. Find the entropy increment of the gas in this process provided its volume increases \(\alpha=2.0\) times.

Reveal Answer
ΔS=v(γ+1)Rγ1lnα=46 J/K\Delta S=\frac{v(\gamma+1) R}{\gamma-1} \ln \alpha=46 \mathrm{~J} / \mathrm{K}