?The following empirical two-parameter expression has been proposed for correlation of

Chapter 10, Problem 10.41

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The following empirical two-parameter expression has been proposed for correlation of excess properties of symmetrical liquid mixtures:

\(M^{E}=A x_{1} x_{2}\left(\frac{1}{x_{1}+B x_{2}}+\frac{1}{x_{2}+B x_{1}}\right)\)

Here, quantities A and B are parameters that depend at most on T.

(a) Determine from the given equation the implied expressions for \(\bar{M}_{1}^{E} \text { and } \bar{M}_{2}^{E}\).

(b) Show that the results of part (a) satisfy all necessary constraints for partial excess properties.

(c) Determine from the results of part (a) expressions for \(\left(\bar{M}_{1}^{E}\right)^{\infty} \text { and }\left(\bar{M}_{2}^{E}\right)^{\infty}\).

Text Transcription:

M^E = Ax_1x_2(1/x_1 + Bx_2 + 1/x_2 + Bx_1)

barM_1^E and barM_2^E

(barM_1^E)^infty and (barM_2^E)^infty

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