The appropriate chemical potentials equal to each other, show that x 1and x g obey the equations = 1 - x l 1 - x g = e Δ G A ° / R T and x l x g = e Δ G B ° / R T and where Δ G °represents the change in G for the pure substance undergoing Liquid and gas phases that are in equilibrium with each other. (b) At any given temperature T, let x 1 and x gbe the compositions of the Note that both formulas can be writtenįor either the liquid phase or the gas phase. Derive a similar formula for theĬhemical potential of species B. (a) Show that in an ideal mixture of A and B, the chemical potential of species A can be written μ A = μ A ° + k T ln ( 1 - x )where A is the chemical potential of pure A (at the same temperature and pressure) and x = N B / N A + N B. Shapes of the phase boundary curves in diagrams such as Figures 5.31 and 5.32,Īssuming that both phases behave as ideal mixtures. ![]() ![]() In this problem you will derive approximate formulas for the
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