Chapter 10.6, Problem 10E

Interpretation Introduction

Interpretation:

The bubble point pressure and vapor phase mole fraction for components 1 and 2 for the equi-molar mixture of methanol (1) and ethanol (2).

Concept Introduction:

The expression to calculate the Antoine equation for the component methanol (1).

${\log }_{10}\left(P_1{}^{sat}\right)=A-\frac{B}{T+C}$

Here, Antoine constants or coefficients are A, B, and C, vapor pressure is $P^{sat}$, and temperature is T.

The expression to calculate the Antoine equation for the component ethanol (2).

${\log }_{10}\left(P_2{}^{sat}\right)=A-\frac{B}{T+C}$

Here, vapor pressure is $P_2{}^{sat}$.

The expression to calculate the system pressure using Raoult’s Law.

$P=x_1{P}_1^{sat}+x_2{P}_2^{sat}$

Here, liquid phase mole fraction for components 1 and 2 is $x_1$ and $x_2$ respectively.

The vapor phase mole fraction for components 1 from Raoult’s law.

$y_1=\frac{x_1{P}_1^{sat}}{P}$

The vapor phase mole fraction for components 2 from Raoult’s law.

$y_2=\frac{x_2{P}_2^{sat}}{P}$