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a) Perform a degree of freedom (DOF) analysis on Units 1,2,3, and the overall process based on the number of unknowns and number of independent equations for each case. Specifically state the unknowns in each analysis and be specific about what equations you will use to solve the problem. Based on your DOF analysis, which process would you choose to start your material balance calculation? b) Calculate all the unknown molar flow rates (F2, F3, F4, F5, F6) in the system in mol/hr. c) Calculate the molar fractions of A and B for the stream exiting Unit 1 (ya2 and yB2).

a) Perform a degree of freedom (DOF) analysis on Units 1,2,3, and the overall process based on the number of unknowns and number of independent equations for each case. Specifically state the unknowns in each analysis and be specific about what equations you will use to solve the problem. Based on your DOF analysis, which process would you choose to start your material balance calculation? b) Calculate all the unknown molar flow rates (F2, F3, F4, F5, F6) in the system in mol/hr. c) Calculate the molar fractions of A and B for the stream exiting Unit 1 (ya2 and yB2).

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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**Diagram Explanation:** The image shows a labeled diagram of a continuous, steady-state recycle process. It features three main units (Unit 1, Unit 2, and Unit 3) and involves six streams (F1, F2, F3, F4, F5, F6). Each stream contains two components, A and B, with given molar fractions denoted by \( y_{A,i} \) and \( y_{B,i} \), where \( i = 1\) to 6. - **F1:** 100 mol/hr, \( y_{A,1} = 0.5 \), \( y_{B,1} = 0.5 \) - **F5:** \( y_{A,5} = 0.675 \), \( y_{B,5} = 0.325 \) - **F3:** \( y_{A,3} = 0.55 \), \( y_{B,3} = 0.45 \) - **F4:** \( y_{A,4} = 0.4 \), \( y_{B,4} = 0.6 \) - **F6:** \( y_{A,6} = 0.7 \), \( y_{B,6} = 0.3 \) **Assignment Tasks:** (a) **Degree of Freedom (DOF) Analysis:** Perform a DOF analysis on Units 1, 2, and 3, and on the overall process. Consider the number of unknowns and the number of independent equations for each case. Specify the unknowns in each analysis and identify key equations for solving the problem. Decide where to start material balance calculations based on the DOF analysis. (b) **Calculate Molar Flow Rates:** Determine all unknown molar flow rates (F2, F3, F4, F5, F6) in the system, expressed in mol/hr. (c) **Calculate Molar Fractions for Unit 1 Output:** Find the molar fractions of A and B for the stream exiting Unit 1 (\( y_{A,2} \) and \( y_{B,2} \)). This diagram and the corresponding tasks are provided to teach students about material balance and process analysis in chemical engineering contexts.
Transcribed Image Text:**Diagram Explanation:** The image shows a labeled diagram of a continuous, steady-state recycle process. It features three main units (Unit 1, Unit 2, and Unit 3) and involves six streams (F1, F2, F3, F4, F5, F6). Each stream contains two components, A and B, with given molar fractions denoted by \( y_{A,i} \) and \( y_{B,i} \), where \( i = 1\) to 6. - **F1:** 100 mol/hr, \( y_{A,1} = 0.5 \), \( y_{B,1} = 0.5 \) - **F5:** \( y_{A,5} = 0.675 \), \( y_{B,5} = 0.325 \) - **F3:** \( y_{A,3} = 0.55 \), \( y_{B,3} = 0.45 \) - **F4:** \( y_{A,4} = 0.4 \), \( y_{B,4} = 0.6 \) - **F6:** \( y_{A,6} = 0.7 \), \( y_{B,6} = 0.3 \) **Assignment Tasks:** (a) **Degree of Freedom (DOF) Analysis:** Perform a DOF analysis on Units 1, 2, and 3, and on the overall process. Consider the number of unknowns and the number of independent equations for each case. Specify the unknowns in each analysis and identify key equations for solving the problem. Decide where to start material balance calculations based on the DOF analysis. (b) **Calculate Molar Flow Rates:** Determine all unknown molar flow rates (F2, F3, F4, F5, F6) in the system, expressed in mol/hr. (c) **Calculate Molar Fractions for Unit 1 Output:** Find the molar fractions of A and B for the stream exiting Unit 1 (\( y_{A,2} \) and \( y_{B,2} \)). This diagram and the corresponding tasks are provided to teach students about material balance and process analysis in chemical engineering contexts.
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