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7) We're working with a cascade of three flash drums separating components A and B. The vapor and liquid streams from flash drum 1 are fed into drums 2 and 3, respectively. A is the more volatile component, and equilibrium data for A is given on the following pages. The feed to drum 1 is a 50 mol % mixture of A and B and has an overall flow rate of 100 kmol/h. Drum 1 operates such that 80% of the feed is vaporized while drum 2 operates such that 50% of its feed is vaporized. All process streams and known information are in the diagram below. What is the maximum vapor purity obtainable from flash unit 3? What is the value of (V/F)3 such that the composition x2 is twice the a) b) composition x3? c) Given the conditions in part b), compute the flow rates of all streams leaving flash drums 2 and 3.

7) We're working with a cascade of three flash drums separating components A and B. The vapor and liquid streams from flash drum 1 are fed into drums 2 and 3, respectively. A is the more volatile component, and equilibrium data for A is given on the following pages. The feed to drum 1 is a 50 mol % mixture of A and B and has an overall flow rate of 100 kmol/h. Drum 1 operates such that 80% of the feed is vaporized while drum 2 operates such that 50% of its feed is vaporized. All process streams and known information are in the diagram below. What is the maximum vapor purity obtainable from flash unit 3? What is the value of (V/F)3 such that the composition x2 is twice the a) b) composition x3? c) Given the conditions in part b), compute the flow rates of all streams leaving flash drums 2 and 3.

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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The graph is a phase diagram, specifically a vapor-liquid equilibrium (VLE) curve for a binary mixture, displaying the relationship between the liquid and vapor mole fractions of component A. - **Axes**: - The x-axis represents the liquid mole fraction of component A, ranging from 0 to 1. - The y-axis represents the vapor mole fraction of component A, also ranging from 0 to 1. - **Curves**: - The blue curve represents the equilibrium line for the vapor phase, showing how the vapor composition changes with the liquid composition. - The red diagonal line is often referred to as the y=x line, representing an ideal situation where the liquid and vapor compositions are equal. - **Interpretation**: - At lower mole fractions in the liquid phase, the vapor phase is more enriched with component A compared to the liquid. - As the liquid mole fraction of component A increases, the compositions of the liquid and vapor phases converge toward the diagonal line, eventually becoming equal at the endpoint where both compositions reach 1. This type of diagram helps in understanding the composition changes during the distillation process or any other separation methods involving phase changes.
Transcribed Image Text:The graph is a phase diagram, specifically a vapor-liquid equilibrium (VLE) curve for a binary mixture, displaying the relationship between the liquid and vapor mole fractions of component A. - **Axes**: - The x-axis represents the liquid mole fraction of component A, ranging from 0 to 1. - The y-axis represents the vapor mole fraction of component A, also ranging from 0 to 1. - **Curves**: - The blue curve represents the equilibrium line for the vapor phase, showing how the vapor composition changes with the liquid composition. - The red diagonal line is often referred to as the y=x line, representing an ideal situation where the liquid and vapor compositions are equal. - **Interpretation**: - At lower mole fractions in the liquid phase, the vapor phase is more enriched with component A compared to the liquid. - As the liquid mole fraction of component A increases, the compositions of the liquid and vapor phases converge toward the diagonal line, eventually becoming equal at the endpoint where both compositions reach 1. This type of diagram helps in understanding the composition changes during the distillation process or any other separation methods involving phase changes.
### Problem We’re working with a cascade of three flash drums separating components A and B. The vapor and liquid streams from flash drum 1 are fed into drums 2 and 3, respectively. A is the more volatile component, and equilibrium data for A is given on the following pages. The feed to drum 1 is a 50 mol% mixture of A and B and has an overall flow rate of 100 kmol/h. Drum 1 operates such that 80% of the feed is vaporized while drum 2 operates such that 50% of its feed is vaporized. All process streams and known information are in the diagram below. #### Questions: a) What is the maximum vapor purity obtainable from flash unit 3? b) What is the value of (V/F)_3 such that the composition x_2 is twice the composition x_3? c) Given the conditions in part b), compute the flow rates of all streams leaving flash drums 2 and 3. ### Diagram Explanation The diagram consists of three flash drums labeled 1, 2, and 3. - **Input to Flash Drum 1:** - Feed flow rate (F) = 100 kmol/h - Feed composition (z) = 0.5 mol% A - **Flash Drum 1:** - Vaporization ratio (V/F)_1 = 0.8 - Outputs: Vapor stream V_1 with composition y_1 and Liquid stream L_1 with composition x_1 - **Flash Drum 2:** - Vaporization ratio (V/F)_2 = 0.5 - Output: Vapor stream V_2 with composition y_2, Liquid stream L_2 with composition x_2 - **Flash Drum 3:** - Vaporization ratio (V/F)_3 is unknown - Output: Vapor stream V_3 with composition y_3, Liquid stream L_3 with composition x_3 The system aims to maximize the separation of component A from B through sequential vapor-liquid equilibrium stages.
Transcribed Image Text:### Problem We’re working with a cascade of three flash drums separating components A and B. The vapor and liquid streams from flash drum 1 are fed into drums 2 and 3, respectively. A is the more volatile component, and equilibrium data for A is given on the following pages. The feed to drum 1 is a 50 mol% mixture of A and B and has an overall flow rate of 100 kmol/h. Drum 1 operates such that 80% of the feed is vaporized while drum 2 operates such that 50% of its feed is vaporized. All process streams and known information are in the diagram below. #### Questions: a) What is the maximum vapor purity obtainable from flash unit 3? b) What is the value of (V/F)_3 such that the composition x_2 is twice the composition x_3? c) Given the conditions in part b), compute the flow rates of all streams leaving flash drums 2 and 3. ### Diagram Explanation The diagram consists of three flash drums labeled 1, 2, and 3. - **Input to Flash Drum 1:** - Feed flow rate (F) = 100 kmol/h - Feed composition (z) = 0.5 mol% A - **Flash Drum 1:** - Vaporization ratio (V/F)_1 = 0.8 - Outputs: Vapor stream V_1 with composition y_1 and Liquid stream L_1 with composition x_1 - **Flash Drum 2:** - Vaporization ratio (V/F)_2 = 0.5 - Output: Vapor stream V_2 with composition y_2, Liquid stream L_2 with composition x_2 - **Flash Drum 3:** - Vaporization ratio (V/F)_3 is unknown - Output: Vapor stream V_3 with composition y_3, Liquid stream L_3 with composition x_3 The system aims to maximize the separation of component A from B through sequential vapor-liquid equilibrium stages.
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