?The following expressions have been reported for the activity coefficients of species 1

Chapter 13, Problem 13.55

(choose chapter or problem)

The following expressions have been reported for the activity coefficients of species 1 and 2 in a binary liquid mixture at given T and P: \(\gamma_{1}=x_{2}^{2}\left(0.273+0.096 x_{1}\right) \quad \ln \gamma_{2}=x_{1}^{2}\left(0.273-0.096 x_{2}\right)\)

(a) Determine the implied expression for \(G^{E} / R T\).

(b) Generate expressions for ln \(\gamma_{1} \text { and } \ln \gamma\) from the result of (a).

(c) Compare the results of (b) with the reported expressions for ln \(\gamma_{1} \text { and } \ln \gamma\). Discuss any discrepancy. Can the reported expressions possibly be correct?

Text Transcription:

gamma_1=x_2^2(0.273+0.096x_1) ln gamma_2=x_1^2(0.273-0.096x_2)

G^E/RT

gamma_1 and ln gamma

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