Binary mixture in equilibrium with a pure phase

3 BINARY MIXTURE IN EQUILIBRIUM WITH A PURE PHASE 

This section considers a binary liquid mixture of components A and B in equilibrium with either pure solid A or pure gaseous A. The aim is to find general relations among changes of temperature, pressure, and mixture composition in the two-phase equilibrium system that can be applied to specific situations in later sections. 

In this section, /la is the chemical potential of component A in the mixture and is for the pure solid or gaseous phase. We begin by writing the total differential of pla/ T with T, p, and xa as the independent variables. These quantities refer to the binary liquid mixture, and we have not yet imposed a condition of equilibrium with another phase. The general expression for the total differential is 

Next we write the total differential of ji /T for pure solid or gaseous A. The independent variables are T and p the expression is like Eq. 12.3.2 with the last term missing  

When the two phases are in transfer equilibrium, /xa and are equal. If changes occur in T, p, or xa while the phases remain in equilibrium, the condition d(/LA/ T) = d(/r, / T) must be satisfied. Equating the expressions on the right sides of Eqs. 12.3.2 and 12.3.3 and combining terms, we obtain the equation 

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CHAPTER 12 EQUILIBRIUM CONDITIONS IN MULTICOMPONENT SYSTEMS 12.3 Binary Mixture in equilibrium with a Pure Phase... 

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See also in sourсe #XX -- [ ]

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