For a ternary solution at constant T and P, the composition dependence of molar property M is given by M x 1 M 1 x 2 M 2 x 3 M 3 x 1 x 2 x 3 C where M 1 , M 2 , and M 3 are the values of M for pure species 1, 2, and 3, and C is a parameter independent of composition Determine expressions for M 1 , ...

The molar excess property of species i Mi can be calculated from the e ...

For a ternary solution at constant T and P, the composition dependence of molar property M is

Question:

For a ternary solution at constant T and P, the composition dependence of molar property M is given by:

M = x₁ M₁ + x₂ M₂ + x₃ M₃ + x₁ x₂ x₃C

where M₁, M₂, and M₃ are the values of M for pure species 1, 2, and 3, and C is a parameter independent of composition. Determine expressions for M̅₁, M̅₂, and M̅₃ by application of Eq. (10.7). As a partial check on your results, verify that they satisfy the summability relation, Eq. (10.11). For this correlating equation, what are the M̅_i at infinite dilution?

Eq. (10.7)