10.2 Consider two systems, A and B. each composed of the same single particle type. The two systems arc contained in a chamber surrounded by rigid adiabatic walls and they are separated from each other within the chamber by a rigid diathermal wall which is also permeable to the particles (see Fig. D.12). Show, using an argument similar to the one used in section 10.2, that the condition for equilibrium against particle exchange is the equality of the chemical potentials.
10.3 Consider the system of question 10.2. Suppose that the two systems, composed of the same single type of particle, are both in the same phase, e.g. a gas on each side of the separating wall. Show that the pressures arc equal. Would the pressures be equal if different
phases existed on either side of the wall? (Hint: For a system consisting of a single type of particle, 14 = G(T, P, = 0(T, P). If the phases are the same on either side of the wall, the function (/) must also be the same on either side.)
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