?For a ternary solution at constant T and P, the composition dependence of molar

Chapter 10, Problem 10.9

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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 \(M_{1}, M_{2}, \text { and } M_{3}\) are the values of M for pure species 1, 2, and 3, and C is a parameter independent of composition. Determine expressions for \(\bar{M}_{1}, \bar{M}_{2}, \text { and } \bar{M}_{3}\) 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 \(\bar{M}_{i}\) at infinite dilution?

Text Transcription:

M = x_1M_1 + x_2M_2 + x_3M_3 + x_1x_2x_3C

bar V_1 and bar V_2

M_1, M_2, and M_3

bar M_1, bar M_2, and bar M_3

bar M_i

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