All Problems

Second law of thermodynamics, entropy

Problem 2.148

One of the two thermally insulated vessels interconnected by a tube with a valve contains \(v=2.2\) moles of an ideal gas. The other vessel is evacuated. The valve having been opened, the gas increased its volume \(n=3.0\) times. Find the entropy increment of the gas.

Reveal Answer
ΔS=vRlnn=20 J/K\Delta S=v R \ln n=20 \mathrm{~J} / \mathrm{K}