4. Consider an ideal binary mixture of components A and B in which the liquid phase is in equilibrium with its vapour phase. If A is the more volatile component. (a) show that the ratios of the compositions of the components in the liquid, I and the ratio of the compositions of the components in the vapour, V are respectively given by; 1/2

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
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4.
Consider an ideal binary mixture of components A and B in which the liquid phase is in
equilibrium with its vapour phase. If A is the more volatile component.
(a)
show that the ratios of the compositions of the components in the
liquid, I and the ratio of the compositions of the components in the vapour,
V are respectively given by;
where:
20
P-
L =
;
and
OXA
XB
P-P
P is the saturated vapour pressures of pure component i and P is
the system pressure. While x, refer to the composition of component
i in the liquid phase and a is the relative volatility.
1/2
V =
(b) If a mixture of n-heptane and toluene containing 86 percent n-heptane is at
equilibrium with its vapour that is 90 percent n-heptane at 101.3kN/m².
Calculate the saturated vapour pressures of n-heptane and toluene at the
system pressure.
Transcribed Image Text:4. Consider an ideal binary mixture of components A and B in which the liquid phase is in equilibrium with its vapour phase. If A is the more volatile component. (a) show that the ratios of the compositions of the components in the liquid, I and the ratio of the compositions of the components in the vapour, V are respectively given by; where: 20 P- L = ; and OXA XB P-P P is the saturated vapour pressures of pure component i and P is the system pressure. While x, refer to the composition of component i in the liquid phase and a is the relative volatility. 1/2 V = (b) If a mixture of n-heptane and toluene containing 86 percent n-heptane is at equilibrium with its vapour that is 90 percent n-heptane at 101.3kN/m². Calculate the saturated vapour pressures of n-heptane and toluene at the system pressure.
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