A container is initially partitioned by a wall into two compartments. The left compartment has volume V1 and the right compartment has volume V2. Both compartments are filled with identical ideal gases at the same temperature T and with an equal number of particles N but at different pressures P1 (left compartment) and P2 (right compartment). The wall is removed and the gases are allowed to mix to an equilibrium state.
(a) Compute the change in entropy of the system.
(b) Show unambiguously and convincingly that the mixing process is irreversible