** 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)

where

(D-2)

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

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