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A solution composed of 50% ethanol (EtOH), 10% methanol (MEOH), and 40% water (H2O) is fed at the rate of 100 kg/hr into a separator that produces one stream at the rate of 60 kg/hr with the composition of 80% EtOH, 15% MeOH, and 5% H2O, and a second stream of unknown composition. Calculate the composition (in %) of the three compounds in the unknown stream and its flowrate in kg/hr. Use matrix operations to solve the unknowns.

A solution composed of 50% ethanol (EtOH), 10% methanol (MEOH), and 40% water (H2O) is fed at the rate of 100 kg/hr into a separator that produces one stream at the rate of 60 kg/hr with the composition of 80% EtOH, 15% MeOH, and 5% H2O, and a second stream of unknown composition. Calculate the composition (in %) of the three compounds in the unknown stream and its flowrate in kg/hr. Use matrix operations to solve the unknowns.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 27EQ
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This is the question: What is the flow rate in kg /hr once decimal only. Don't mind item 1 question on image
E Instructions ne problem completely and logically. A solution composed of 50% ethanol (ETOH), 10% methanol (MEOH), and 40% water (H20) is fed at the rate of 100 kg/hr into a separator that produces one stream at the rate of 60 kg/hr with the composition of 80% EtOH, 15% MEOH, and 5% H2O, and a second stream of unknown composition. Calculate the composition (in %) of the three compounds in the unknown stream and its flowrate in kg/hr. Use matrix operations to solve the unknowns. Question 1 Set up the system of linear equations corresponding to material balance equation. Briefly describe each generated equation.
Transcribed Image Text:E Instructions ne problem completely and logically. A solution composed of 50% ethanol (ETOH), 10% methanol (MEOH), and 40% water (H20) is fed at the rate of 100 kg/hr into a separator that produces one stream at the rate of 60 kg/hr with the composition of 80% EtOH, 15% MEOH, and 5% H2O, and a second stream of unknown composition. Calculate the composition (in %) of the three compounds in the unknown stream and its flowrate in kg/hr. Use matrix operations to solve the unknowns. Question 1 Set up the system of linear equations corresponding to material balance equation. Briefly describe each generated equation.
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