?A binary system of species 1 and 2 consists of vapor and liquid phases in equilibrium

Chapter 13, Problem 13.16

(choose chapter or problem)

A binary system of species 1 and 2 consists of vapor and liquid phases in equilibrium at temperature T. The overall mole fraction of species 1 in the system is \(z_{1}=0.65\). At temperature T, \(\ln \gamma_{1}=0.67 x_{2}^{2} ; \ln \gamma_{2}=0.67 x_{1}^{2} ; P_{1}^{\text {sat }}=32.27 \mathrm{kPa}\) ; and \(P_{2}^{\text {sat }}=73.14 \mathrm{kPa}\). Assuming the validity of Eq. (13.19),

(a) Over what range of pressures can this system exist as two phases at the given T and \(z_{1}\)?

(b) For a liquid-phase mole fraction \(x_{1}=0.75\), what is the pressure P and what molar fraction \(\mathcal{V}\) of the system is vapor?

(c) Show whether or not the system exhibits an azeotrope.

Text Transcription:

z_1=0.65

ln gamma_1=0.67x_2^2; ln gamma_2=0.67x_1^2; P_1^sat=32.27kPa;

P_2^sat=73.14 kPa

z_1

x_1=0.75

V