Answer:
[tex]M_{i} = M_{i} + C_{xjxk} (1-2x_{i})[/tex] ...1
[tex]M^{\alpha } = M_{i} + CX_{xjxk}[/tex] ...2
Explanation:
The ternary constant is given by the following equation:
The symbol XiXi, where XX is an extensive property of a homogeneous mixture and the subscript ii identifies a constituent species of the mixture, denotes the partial molar quantity of species ii defined by
[tex]M_{i} = [\frac{d(nM)}{dn_{i} }]_{P,t,n,j}[/tex]
This is the rate at which property X changes with the amount of species i added to the mixture as the temperature, the pressure, and the amounts of all other species are kept constant. A partial molar quantity is an intensive state function. Its value depends on the temperature, pressure, and composition of the mixture.
In a multi phase system (in this case, a ternary system), the components resolved give:
[tex]M_{i} = M_{i} + C_{xjxk} (1-2x_{i})[/tex]
and [tex]M^{\alpha } = M_{i} + CX_{xjxk}[/tex]
