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The following question relates to the VLE of a binary system of ethanol(1)/toluene(2), with Antoine equations as given in Table B.2 (8th edition) - see Blackboard file. The liquid phase is non-ideal and the activity coefficients are described by one-parameter Margules equations with constant A0-1.73. Using the given information, calculate the bubblepoint pressure at x₁ = 0.45 at a fixed temperature of 76.8 °C. Give your answer to the nearest kPa.

The following question relates to the VLE of a binary system of ethanol(1)/toluene(2), with Antoine equations as given in Table B.2 (8th edition) - see Blackboard file. The liquid phase is non-ideal and the activity coefficients are described by one-parameter Margules equations with constant A0-1.73. Using the given information, calculate the bubblepoint pressure at x₁ = 0.45 at a fixed temperature of 76.8 °C. Give your answer to the nearest kPa.

Introduction to Chemical Engineering Thermodynamics
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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**Calculation of Bubble Point Pressure for a Binary System of Ethanol and Toluene** The following question relates to the VLE (Vapor-Liquid Equilibrium) of a binary system of ethanol (1) and toluene (2), with Antoine equations as given in Table B.2 (8th edition) - see Blackboard file. The liquid phase is non-ideal and the activity coefficients are described by one-parameter Margules equations with constant \( A_0 = 1.73 \). ### Problem Statement: Using the given information, calculate the bubble point pressure at \( x_1 = 0.45 \) at a fixed temperature of \( 76.8 \ ^\circ \text{C} \). Give your answer to the nearest kPa. ### Explanation: - **VLE**: Vapor-Liquid Equilibrium is the condition where a liquid and its vapor are in equilibrium with each other. - **Antoine Equation**: This is an empirical relationship used to estimate the vapor pressure of pure substances. - **Margules Equation**: An equation used to describe the activity coefficients in non-ideal solutions. - **Bubble Point Pressure**: The pressure at which a liquid mixture begins to boil. ### Calculations: To solve for the bubble point pressure, you would typically follow these steps: 1. **Determine Vapor Pressures**: Use the Antoine equations to find the vapor pressures of ethanol and toluene at 76.8 °C. 2. **Activity Coefficients**: Use the Margules equation to calculate the activity coefficients for the binary mixture. 3. **Apply Raoult’s Law**: Combine the vapor pressures and activity coefficients to determine the total vapor pressure. Since the Antoine table is referenced without direct values provided in the question, you would refer to a specific chemistry resources or textbook to find these values and proceed with the calculations. Be sure to organize your work clearly, presenting each formula used and the corresponding values plugged into those formulas. Show each step in your calculations for maximum clarity. --- **Note**: Since this is for an educational website, ensure principles and the steps in calculation are presented in an understandable manner for students. Provide additional resources or references to textbook sections where necessary.
Transcribed Image Text:**Calculation of Bubble Point Pressure for a Binary System of Ethanol and Toluene** The following question relates to the VLE (Vapor-Liquid Equilibrium) of a binary system of ethanol (1) and toluene (2), with Antoine equations as given in Table B.2 (8th edition) - see Blackboard file. The liquid phase is non-ideal and the activity coefficients are described by one-parameter Margules equations with constant \( A_0 = 1.73 \). ### Problem Statement: Using the given information, calculate the bubble point pressure at \( x_1 = 0.45 \) at a fixed temperature of \( 76.8 \ ^\circ \text{C} \). Give your answer to the nearest kPa. ### Explanation: - **VLE**: Vapor-Liquid Equilibrium is the condition where a liquid and its vapor are in equilibrium with each other. - **Antoine Equation**: This is an empirical relationship used to estimate the vapor pressure of pure substances. - **Margules Equation**: An equation used to describe the activity coefficients in non-ideal solutions. - **Bubble Point Pressure**: The pressure at which a liquid mixture begins to boil. ### Calculations: To solve for the bubble point pressure, you would typically follow these steps: 1. **Determine Vapor Pressures**: Use the Antoine equations to find the vapor pressures of ethanol and toluene at 76.8 °C. 2. **Activity Coefficients**: Use the Margules equation to calculate the activity coefficients for the binary mixture. 3. **Apply Raoult’s Law**: Combine the vapor pressures and activity coefficients to determine the total vapor pressure. Since the Antoine table is referenced without direct values provided in the question, you would refer to a specific chemistry resources or textbook to find these values and proceed with the calculations. Be sure to organize your work clearly, presenting each formula used and the corresponding values plugged into those formulas. Show each step in your calculations for maximum clarity. --- **Note**: Since this is for an educational website, ensure principles and the steps in calculation are presented in an understandable manner for students. Provide additional resources or references to textbook sections where necessary.
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