Chapter 7 : Vapour-Liquid Equilibria

Section 3 : Derivation of the Phase Rule
 

The above equation is known as the Duhem's theorem. It implies that for any closed system formed initially from given masses of a number of chemical species, the equilibrium state is completely determined when any two independent variables are fixed. The two independent variables that one may choose to specify may be either intensive or extensive. However, the number of independent intensive variables is given by the phase rule. Therefore, it follows that when F = 1, at least one of the two variables must be extensive, and when F = 0, both must be extensive.