?Justify the following equations:\(\left(\frac{\partial \ln \hat{\phi}_{i}}{\partial

Chapter 10, Problem 10.2

(choose chapter or problem)

Justify the following equations:

\(\left(\frac{\partial \ln \hat{\phi}_{i}}{\partial P}\right)_{T, x}=\frac{\bar{V}_{i}^{R}}{R T} \quad\left(\frac{\partial \ln \hat{\phi}_{i}}{\partial T}\right)_{P, x}=-\frac{\bar{H}_{i}^{R}}{R T^{2}}\)

\(\frac{G^{R}}{R T}=\sum_{i} x_{i} \ln \hat{\phi}_{i} \quad \sum_{i} x_{i} d \ln \hat{\phi}_{i}=0\) (const T, P)

Text Transcription:

(partial ln hat phi_i/partial P)_T,x = barV_i^R/RT} (partial ln hat phi_i/partial T)_P,x =-barH_i^R/RT^2

G^R/RT = sum_ix_i ln hat phi_i sum_ix_id ln hat phi_i=0

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