?For a binary gas mixture described by Eqs. (3.36) and (10.62), prove

Chapter 10, Problem 10.32

(choose chapter or problem)

For a binary gas mixture described by Eqs. (3.36) and (10.62), prove that:

\(G^{E}=\delta_{12} P y_{1} y_{2} \quad S^{E}=-\frac{d \delta_{12}}{d T} P_{1} y_{2}\)

\(H^{E}=\left(\delta_{12}-T \frac{d \delta_{12}}{d T}\right) P y_{1} y_{2} \quad C_{P}^{E}=-T \frac{d^{2} \delta_{12}}{d T^{2}} P y_{1} y_{2}\)

See also Eq. (10.87), and note that \(\delta_{12}=2 B_{12}-B_{11}-B_{22}\).

Text Transcription:

G^E = delta_12Py_1y_2 S^E = - d delta_12/dT P_1y_2

H^E = (delta_12 -T d delta_12/dT)Py_1y_2 C_P^E = -T d^2 delta_12/dT^2 Py_1y_2

delta_12 = 2B_12 - B_11 - B_22