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Second law of thermodynamics, entropy

Problem 2.133

Helium of mass m=1.7 gm=1.7 \mathrm{~g} is expanded adiabatically n=3.0n=3.0 times and then compressed isobarically down to the initial volume. Find the entropy increment of the gas in this process.

Reveal Answer
ΔS=−mMγRγ−1ln⁡n=−10 J/K\Delta S=-\frac{m}{M} \frac{\gamma R}{\gamma-1} \ln n=-10 \mathrm{~J} / \mathrm{K}
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