Forming Mixtures A system consists initially of nA moles of gas A at pressure p a...

Forming Mixtures

A system consists initially of n_A moles of gas A at pressure p and temperature T and n_B moles of gas B separate from gas A but at the same pressure and temperature. The gases are allowed to mix with no heat or work interactions with the surroundings. The final equilibrium pressure and temperature are p and T, respectively, and the mixing occurs with no change in total volume.

(a) Assuming ideal gas behavior, obtain an expression for the entropy produced in terms of n_A, and n_B.

(b) Using the result of part (a), demonstrate that the entropy produced has a positive value.

(c) Would entropy be produced when samples of the same gas at the same temperature and pressure mix? Explain.