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Molecular Thermodynamics of Fluid-Phase Equilibria, Third Edition by Edmundo Gomes de Azevedo - Institute Superior Técnico, Lisbon, Rüdiger N. Lichtenthaler - University of Heidelberg, John M. Prausnitz - University of California, Berkeley

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Appendix D The Gibbs-Duhem Equation

A brief discussion of the Gibbs-Duhem equation is given in Sec. 2.4 and some applications are given in Chap. 6. In this appendix we give a derivation of the fundamental equation and we present special forms of the equation as applied to activity coefficients.

Let M be an extensive property of a mixture. For a homogeneous phase, M is a function of temperature, pressure, and mole numbers. The total differential of M is given by

(D-1)

Image

where

(D-2)

Image

The extensive property M is related to the partial molar properties ...

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