Problem 1 (50 %). At 60ºC, components 1 and 2 form an azeotrope at a pressure of 0.64 bar and x1 = 0.4. You wish to use the one constant Margules model. In y1 = A x² In y2 = A x? a) From the above data, determine as accurately as possible the Margules parameter A. b) What is the composition of the vapor in equilibrium with a liquid of composition x1 = 0.8 at 60º C? Data: P1sat = 0.468 bar and P2sat = 0.56 bar at 60° C. %3D %3D
Problem 1 (50 %). At 60ºC, components 1 and 2 form an azeotrope at a pressure of 0.64 bar and x1 = 0.4. You wish to use the one constant Margules model. In y1 = A x² In y2 = A x? a) From the above data, determine as accurately as possible the Margules parameter A. b) What is the composition of the vapor in equilibrium with a liquid of composition x1 = 0.8 at 60º C? Data: P1sat = 0.468 bar and P2sat = 0.56 bar at 60° C. %3D %3D
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
Section: Chapter Questions
Problem 1.1P
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Book: Introduction to
![### Problem 1 (50%)
**Context:** At 60ºC, components 1 and 2 form an azeotrope at a pressure of 0.64 bar and \( x_1 = 0.4 \).
**Objective:** You wish to use the one constant Margules model:
\[ \ln \gamma_1 = A x_2^2 \]
\[ \ln \gamma_2 = A x_1^2 \]
#### Tasks:
a) From the above data, determine as accurately as possible the Margules parameter A.
b) What is the composition of the vapor in equilibrium with a liquid of composition \( x_1 = 0.8 \) at 60ºC?
**Data Provided:**
- \( P_1^{\text{sat}} = 0.468 \) bar
- \( P_2^{\text{sat}} = 0.56 \) bar
**Instructions:**
1. Use the provided data and the Margules model equations to solve for the parameter \( A \).
2. Determine the vapor composition in equilibrium given the liquid composition at the specified conditions.
This problem involves applying thermodynamic principles and utilizing Margules’ model for activity coefficients to find equilibrium compositions, which is crucial for understanding phase behavior in multi-component systems.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F02152486-4b3e-4971-933f-7bbbd61f61b8%2F14a380fa-3e89-4bd5-9248-5305c0be7312%2Feepp7kh.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem 1 (50%)
**Context:** At 60ºC, components 1 and 2 form an azeotrope at a pressure of 0.64 bar and \( x_1 = 0.4 \).
**Objective:** You wish to use the one constant Margules model:
\[ \ln \gamma_1 = A x_2^2 \]
\[ \ln \gamma_2 = A x_1^2 \]
#### Tasks:
a) From the above data, determine as accurately as possible the Margules parameter A.
b) What is the composition of the vapor in equilibrium with a liquid of composition \( x_1 = 0.8 \) at 60ºC?
**Data Provided:**
- \( P_1^{\text{sat}} = 0.468 \) bar
- \( P_2^{\text{sat}} = 0.56 \) bar
**Instructions:**
1. Use the provided data and the Margules model equations to solve for the parameter \( A \).
2. Determine the vapor composition in equilibrium given the liquid composition at the specified conditions.
This problem involves applying thermodynamic principles and utilizing Margules’ model for activity coefficients to find equilibrium compositions, which is crucial for understanding phase behavior in multi-component systems.
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