Show that the condition for equilibrium in a closed isothermal system, one part of which is maintained

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Show that the condition for equilibrium in a closed isothermal system, one part of which is maintained at PI and the remainder at PII, is that the function G′ = U − TS + PI VI + PIIVII be a minimum (here VI and VII are the volumes of the portions of the system maintained at PI and PII, respectively). Then show that Eq.11.5-1 is the condition for osmotic equilibrium.

f solvent = f solvent (11.5-1)

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