For a ternary system, the influence of composition on property (M) can be represented by [ M=x_{1}
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For a ternary system, the influence of composition on property \(M\) can be represented by \[ M=x_{1} M_{1}+x_{2} M_{2}+x_{3} M_{3}+C x_{1} x_{2} x_{3} \] where \(M_{1}, M_{2}\) and \(M_{3}\) are the values of \(M\) for pure chemical species 1 and 2 respectively, and \(A\) is a parameter independent of composition. Develop expressions for \(\bar{M}_{1}, \bar{M}_{2}\) and \(\bar{M}_{3}\).
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