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You have four 100 gallon tanks T1, T2, T3 and T4 with salt contents y1, Y2, Y3, and y4 respectively, at any time t. Liquid flows between them as shown in the figure below to maintain the liquid volume in the tanks steady. If initially the tanks contain fluid with pure water in T1, 50 Ib salt in T2, 25 Ib salt in T3, and pure water in T4 perform the material balances and obtain the IVP for the systems of equations you would need to solve for the salt contents in the tanks at any time t. You are not to solve but to simply set up the system 1. of equations you would solve to get the salt contents at any time t.

You have four 100 gallon tanks T1, T2, T3 and T4 with salt contents y1, Y2, Y3, and y4 respectively, at any time t. Liquid flows between them as shown in the figure below to maintain the liquid volume in the tanks steady. If initially the tanks contain fluid with pure water in T1, 50 Ib salt in T2, 25 Ib salt in T3, and pure water in T4 perform the material balances and obtain the IVP for the systems of equations you would need to solve for the salt contents in the tanks at any time t. You are not to solve but to simply set up the system 1. of equations you would solve to get the salt contents at any time t.

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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You have four 100 gallon tanks T1, T2, T3 and T4 with salt contents yı, y2, Y3, and y4 respectively, at any time t. Liquid flows between them as shown in the figure below to maintain the liquid volume in the tanks steady. If initially the tanks contain fluid with pure water in T1, 50 lb salt in T2, 25 Ib salt in T3, and pure water in T4 perform the material balances and obtain the IVP for the systems of equations you would need to solve for the salt contents in the tanks at any time t. You are not to solve but to simply set up the system 1. of equations you would solve to get the salt contents at any time t. T1; y1 T2; y2 5 gal/min brine with 2 gal/min 2 Ib salt/gal 8 gal/min 1 gal/min 3 gal/min 1 gal/min 6 gal/min 5 gal/min 2 gal/min T4; Y4 T3; Y3
Transcribed Image Text:You have four 100 gallon tanks T1, T2, T3 and T4 with salt contents yı, y2, Y3, and y4 respectively, at any time t. Liquid flows between them as shown in the figure below to maintain the liquid volume in the tanks steady. If initially the tanks contain fluid with pure water in T1, 50 lb salt in T2, 25 Ib salt in T3, and pure water in T4 perform the material balances and obtain the IVP for the systems of equations you would need to solve for the salt contents in the tanks at any time t. You are not to solve but to simply set up the system 1. of equations you would solve to get the salt contents at any time t. T1; y1 T2; y2 5 gal/min brine with 2 gal/min 2 Ib salt/gal 8 gal/min 1 gal/min 3 gal/min 1 gal/min 6 gal/min 5 gal/min 2 gal/min T4; Y4 T3; Y3
Expert Solution
Step 1

The difference between the inlet and outlet of the system gives accumulation in the system. This is the simplest form of material balance. This runs on the law of conservation of mass. The accumulation is taken per time.

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