Fundamental excess-property relation

Fundamental Excess-Property Relation Equations for excess properties are developed in much the same way as those for residual properties. For the special case of an ideal solution, Eq. (4-191) 

The following equations are in complete analogy to those for residual properties. 

This last equation demonstrates that In Ji is a partial property respect to ( /RT, implying also the validity of the summability reli 

The equations of the upper left quadrant of Table 4-6 reduce to those of the upper right quadrant for n = 1 and drit = 0. Each equation in the upper left quadrant has a partial-property analog, as shown in the lower left quadrant. Each equation of the upper left quadrant is a special case of Eq. (4-172) and therefore has associated with it a Gibbs-Duhem equation of the form of Eq. (4-173). These are shown in the lower right quadrant. The equations of Table 4-6 store an enormous amount of information, but they are so general that their direct 

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This is the fundamental excess property relation, analogous to the fundamental residual property relation (eq. 169). 

The fundamental excess-property relation is derived in exactly the same as the fundamental residual-property relation and leads to analogous rest Equation (13.12), written for the special case of an ideal solution, is subtra from Eq. (13.12) itself, yielding ... 

Given an equation for Ge/RT as a function of T, P, and composition, the fundamental excess-property relation, Eq. (13.21) or (13.22), provides complete excess-property information. However, this formulation represents less-complete property information than does the residual-property formulation, because it tells us nothing about the properties of the pure constituent chemical species. 

Fundamental excess-property relation, 422-423 Fundamental property relation, 168, 174, 297-298... 

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