A rigid thermally insulated vessel is divided by a thin partition

PHYSICS · Subjective · Fermi University Physics · Thermal, Statistical & Complex Systems · The laws of thermodynamics · Thermodynamic potentials and the formal structure of thermodynamics

Thermal Physics, Ch Chemical potential, open systems and chemical equilibrium

Problem

A rigid thermally insulated vessel is divided by a thin partition. One side holds

2.00\,\mathrm{mol}

of helium, the other holds

2.00\,\mathrm{mol}

of neon; both gases are at the same temperature

T = 300\,\mathrm{K}

and the same pressure

p = 1.00\,\mathrm{bar}

, so the two compartment volumes are in proportion to the amounts of gas. Both gases are ideal, they do not react, and the partition is removed so that they mix completely. Calculate the entropy of mixing. Take

R = 8.314\,\mathrm{J\,mol^{-1}\,K^{-1}}

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