6.2 Partial Properties for Binary Solutions | |||||||||||||||

The partial property is generally not amenable to
ab initio computation from theory, but may be conveniently determined by suitably designed experiments that help obtain isothermal molar property of mixing (eqn. 6.17). Here we illustrate a set of results that derive for a binary mixture, and which may be applied to compute the relevant partial molar properties at any composition. Applying eqn. 6.10: | |||||||||||||||

(6.18) | |||||||||||||||

Or: | (6.19) | ||||||||||||||

Applying the Gibbs-Duhem equation (6.14) gives: | |||||||||||||||

(6.20) | |||||||||||||||

Now, since | (6.21) | ||||||||||||||

Using Eqns. 6.19 – 6.21: | |||||||||||||||

(6.22) | |||||||||||||||

Or: | (6.23) | ||||||||||||||

On solving eqns. 6.22 and 6.23 simultaneously: | |||||||||||||||

(6.24) | |||||||||||||||

| (6.25) |