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Problem 1. The Pxy phase diagram at 40°C for a binary mixture of species 1 and 2 is shown in the figure below.

Problem 1. The Pxy phase diagram at 40°C for a binary mixture of species 1 and 2 is shown in the figure below.

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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Book: Introduction to Chemical Engineering Thermodynamics 8 edition, 2018 (Smith, J.M., Van Ness, H.C., Abbot, M.M., Swihart.)

### Problem 1. The Pxy phase diagram at 40°C for a binary mixture of species 1 and 2 is shown in the figure below. #### Understanding the Diagram: - The graph is a phase diagram representing the relationship between pressure and composition for a binary mixture of species 1 and 2 at a constant temperature of 40°C. - The x-axis (horizontal axis) represents the mole fraction of species 1 (denoted as \( x_1 \)) and the mole fraction of species 1 in the vapor phase (denoted as \( y_1 \)). This ranges from 0 to 1. - The y-axis (vertical axis) represents the pressure in bars, ranging from 0.7 bars to 1.4 bars. - The red curve represents the bubble point curve, indicating the pressure at which the liquid mixture starts to vaporize at different compositions. - The green curve represents the dew point curve, indicating the pressure at which the vapor mixture starts to condense at different compositions. #### Using this Figure: **a) Estimate the saturation pressures of species 1 and 2 at 40°C.** - Identifying the saturation pressures of pure components (species 1 and 2) is done by noting the pressures at the ends of the composition range (x_1=0 and x_1=1): - \( P^*_1 \) (Saturation pressure of species 1) at \( x_1 = 1 \) corresponds to the pressure where the bubble point curve intersects the right vertical axis. - \( P^*_2 \) (Saturation pressure of species 2) at \( x_1 = 0 \) corresponds to the pressure where the bubble point curve intersects the left vertical axis. **b) What is the composition and pressure of the azeotrope at 40°C?** - The azeotrope is found at the point where the bubble point and dew point curves meet. The mole fraction (composition) and pressure at this intersection can be noted directly from the graph. **c) Consider a mixture of species 1 and 2 with \( x_2 = 0.3 \), \( P = 0.9 \) bars and \( T = 40°C\) initially. If this mixture is compressed to 1.1 bars, what will be the compositions of the liquid and vapor phases?** - Starting with the initial pressure of
Transcribed Image Text:### Problem 1. The Pxy phase diagram at 40°C for a binary mixture of species 1 and 2 is shown in the figure below. #### Understanding the Diagram: - The graph is a phase diagram representing the relationship between pressure and composition for a binary mixture of species 1 and 2 at a constant temperature of 40°C. - The x-axis (horizontal axis) represents the mole fraction of species 1 (denoted as \( x_1 \)) and the mole fraction of species 1 in the vapor phase (denoted as \( y_1 \)). This ranges from 0 to 1. - The y-axis (vertical axis) represents the pressure in bars, ranging from 0.7 bars to 1.4 bars. - The red curve represents the bubble point curve, indicating the pressure at which the liquid mixture starts to vaporize at different compositions. - The green curve represents the dew point curve, indicating the pressure at which the vapor mixture starts to condense at different compositions. #### Using this Figure: **a) Estimate the saturation pressures of species 1 and 2 at 40°C.** - Identifying the saturation pressures of pure components (species 1 and 2) is done by noting the pressures at the ends of the composition range (x_1=0 and x_1=1): - \( P^*_1 \) (Saturation pressure of species 1) at \( x_1 = 1 \) corresponds to the pressure where the bubble point curve intersects the right vertical axis. - \( P^*_2 \) (Saturation pressure of species 2) at \( x_1 = 0 \) corresponds to the pressure where the bubble point curve intersects the left vertical axis. **b) What is the composition and pressure of the azeotrope at 40°C?** - The azeotrope is found at the point where the bubble point and dew point curves meet. The mole fraction (composition) and pressure at this intersection can be noted directly from the graph. **c) Consider a mixture of species 1 and 2 with \( x_2 = 0.3 \), \( P = 0.9 \) bars and \( T = 40°C\) initially. If this mixture is compressed to 1.1 bars, what will be the compositions of the liquid and vapor phases?** - Starting with the initial pressure of
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