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4.6 A distillation column is a process unit in which a feed mixture is separated by multiple partial vaporizations and condensations to form two or more product streams. The overhead product stream is rich in the most volatile components of the feed mixture (the ones that vaporize most readily), and the bottom product stream is rich in the least volatile components. The flowchart shows a distillation column with two feed streams and three product streams: (kg/h) 0.03 kg B/kg 0.97 kg C/kg 5300 kg/h x₂(kg A/kg) y₂(kg B/kg) (kg A/h) 1200 kg/h 0.70 kg A/kg 4(kg B/kg) 24(kg C/kg) a) How many independent material balances may be written for this system? b) How many of the unknown flow rates and/or mole fractions must be specified before the others may be calculated? Briefly explain your answer. c) Suppose values are given for m₁ and x₂. Give a series of equations, each involving only a single unknown, for the remaining variables. Circle the variable for which you would solve. (Once a variable has been calculated in one of these equations, it may appear in subsequent equations without being counted as an unknown.) (kg/h) 0.60 kg B/kg 0.40 kg C/kg

4.6 A distillation column is a process unit in which a feed mixture is separated by multiple partial vaporizations and condensations to form two or more product streams. The overhead product stream is rich in the most volatile components of the feed mixture (the ones that vaporize most readily), and the bottom product stream is rich in the least volatile components. The flowchart shows a distillation column with two feed streams and three product streams: (kg/h) 0.03 kg B/kg 0.97 kg C/kg 5300 kg/h x₂(kg A/kg) y₂(kg B/kg) (kg A/h) 1200 kg/h 0.70 kg A/kg 4(kg B/kg) 24(kg C/kg) a) How many independent material balances may be written for this system? b) How many of the unknown flow rates and/or mole fractions must be specified before the others may be calculated? Briefly explain your answer. c) Suppose values are given for m₁ and x₂. Give a series of equations, each involving only a single unknown, for the remaining variables. Circle the variable for which you would solve. (Once a variable has been calculated in one of these equations, it may appear in subsequent equations without being counted as an unknown.) (kg/h) 0.60 kg B/kg 0.40 kg C/kg

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
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CHENG 111 Tutorial Sheet (Chapter 4) 4.6 A distillation column is a process unit in which a feed mixture is separated by multiple partial vaporizations and condensations to form two or more product streams. The overhead product stream is rich in the most volatile components of the feed mixture (the ones that vaporize most readily), and the bottom product stream is rich in the least volatile components. The flowchart shows a distillation column with two feed streams and three product streams: (kg/h) 0.03 kg B/kg 0.97 kg C/kg 5300 kg/h x₂(kg A/kg) y₂(kg B/kg) 4 (kg A/h) 1200 kg/h 0.70 kg A/kg Y4(kg B/kg) 24(kg C/kg) a) How many independent material balances may be written for this system? b) How many of the unknown flow rates and/or mole fractions must be specified before the others may be calculated? Briefly explain your answer. c) Suppose values are given for m₁ and x₂. Give a series of equations, each involving only a single unknown, for the remaining variables. Circle the variable for which you would solve. (Once a variable has been calculated in one of these equations, it may appear in subsequent equations without being counted as an unknown.) mg(kg/h) 0.60 kg B/kg 0.40 kg C/kg
Transcribed Image Text:CHENG 111 Tutorial Sheet (Chapter 4) 4.6 A distillation column is a process unit in which a feed mixture is separated by multiple partial vaporizations and condensations to form two or more product streams. The overhead product stream is rich in the most volatile components of the feed mixture (the ones that vaporize most readily), and the bottom product stream is rich in the least volatile components. The flowchart shows a distillation column with two feed streams and three product streams: (kg/h) 0.03 kg B/kg 0.97 kg C/kg 5300 kg/h x₂(kg A/kg) y₂(kg B/kg) 4 (kg A/h) 1200 kg/h 0.70 kg A/kg Y4(kg B/kg) 24(kg C/kg) a) How many independent material balances may be written for this system? b) How many of the unknown flow rates and/or mole fractions must be specified before the others may be calculated? Briefly explain your answer. c) Suppose values are given for m₁ and x₂. Give a series of equations, each involving only a single unknown, for the remaining variables. Circle the variable for which you would solve. (Once a variable has been calculated in one of these equations, it may appear in subsequent equations without being counted as an unknown.) mg(kg/h) 0.60 kg B/kg 0.40 kg C/kg
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