(Solution) - An isolated cylindrical container is separated into two chambers separated -(2025 Original AI-Free Solution)

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An isolated cylindrical container is separated into two chambers separated by a pinned piston. The left chamber contains 0.1 kg of H2 at 200 kPa, 20oC and the right chamber contains 0.2 kg of He at 100 kPa, 20oC. After the pin is removed, the piston oscillates and eventually comes to equilibrium. (a) Show that the entropy (S) of the combined isolated system reaches a maximum when the pressure (p) on two sides are equal. Assume the piston to be thermally conductive and use the PG model. (b) Can the equilibrium be reached if friction is assumed to be absent?