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Consider the two tanks given in the figure below. 10 Vmin of pure water 5 lmin TankA Tank B 500 I 1000I 0% of Salt 90% of Salt 15 Vmin 10 Vmin of Salt Solution There are two tanks which has a mixture of Water and Salt. Total volume of the mixture of Tank A is 500 liter and the volume of Tank B is 1000 liter. The initial concentration of Salt for Tank A is 0% (it means that pure Water). The initial concentration of Salt for Tank B is 90%. There is an outlet for Tank A through which the solution is going out at the rate of 15 liter/min. There are two outlets for Tank B and the solution is going out at the rate of 5 liter/min through one outlet and the solution is going out at the rate of 10 liter/min through the other outlet. There are two inlets for Tank A. Pure water is coming in at the rate of 10 liter/min through one inlet and solution is coming in at the rate of 5 liter/min with the yet unknown concentration through one inlet. There is one inlet for Tank B. A solution is coming in at the rate of 15 liter/min with the yet unknown concentration through the inlet. What will be the amount of salt at any given time in the tanks? (Note: Show the fundamental matrix. Show your results as x(t) for tank A and y(t) for tank B.)

Consider the two tanks given in the figure below. 10 Vmin of pure water 5 lmin TankA Tank B 500 I 1000I 0% of Salt 90% of Salt 15 Vmin 10 Vmin of Salt Solution There are two tanks which has a mixture of Water and Salt. Total volume of the mixture of Tank A is 500 liter and the volume of Tank B is 1000 liter. The initial concentration of Salt for Tank A is 0% (it means that pure Water). The initial concentration of Salt for Tank B is 90%. There is an outlet for Tank A through which the solution is going out at the rate of 15 liter/min. There are two outlets for Tank B and the solution is going out at the rate of 5 liter/min through one outlet and the solution is going out at the rate of 10 liter/min through the other outlet. There are two inlets for Tank A. Pure water is coming in at the rate of 10 liter/min through one inlet and solution is coming in at the rate of 5 liter/min with the yet unknown concentration through one inlet. There is one inlet for Tank B. A solution is coming in at the rate of 15 liter/min with the yet unknown concentration through the inlet. What will be the amount of salt at any given time in the tanks? (Note: Show the fundamental matrix. Show your results as x(t) for tank A and y(t) for tank B.)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 68E
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Consider the two tanks given in the figure below. 10 lmin of pure water 5 /min TankA Tank B 500 I 1000I 0% of Salt 90% of Salt 15 l/min 10 /min of Salt Solution There are two tanks which has a mixture of Water and Salt. Total volume of the mixture of Tank A is 500 liter and the volume of Tank B is 1000 liter. The initial concentration of Salt for Tank A is 0% (it means that pure Water). The initial concentration of Salt for Tank B is 90%. There is an outlet for Tank A through which the solution is going out at the rate of 15 liter/min. There are two outlets for Tank B and the solution is going out at the rate of 5 liter/min through one outlet and the solution is going out at the rate of 10 liter/min through the other outlet. There are two inlets for Tank A. Pure water is coming in at the rate of 10 liter/min through one inlet and solution is coming in at the rate of 5 liter/min with the yet unknown concentration through one inlet. There is one inlet for Tank B. A solution is coming in at the rate of 15 liter/min with the yet unknown concentration through the inlet. What will be the amount of salt at any given time in the tanks? (Note: Show the fundamental matrix. Show your results as x(t) for tank A and y(t) for tank B.)
Transcribed Image Text:Consider the two tanks given in the figure below. 10 lmin of pure water 5 /min TankA Tank B 500 I 1000I 0% of Salt 90% of Salt 15 l/min 10 /min of Salt Solution There are two tanks which has a mixture of Water and Salt. Total volume of the mixture of Tank A is 500 liter and the volume of Tank B is 1000 liter. The initial concentration of Salt for Tank A is 0% (it means that pure Water). The initial concentration of Salt for Tank B is 90%. There is an outlet for Tank A through which the solution is going out at the rate of 15 liter/min. There are two outlets for Tank B and the solution is going out at the rate of 5 liter/min through one outlet and the solution is going out at the rate of 10 liter/min through the other outlet. There are two inlets for Tank A. Pure water is coming in at the rate of 10 liter/min through one inlet and solution is coming in at the rate of 5 liter/min with the yet unknown concentration through one inlet. There is one inlet for Tank B. A solution is coming in at the rate of 15 liter/min with the yet unknown concentration through the inlet. What will be the amount of salt at any given time in the tanks? (Note: Show the fundamental matrix. Show your results as x(t) for tank A and y(t) for tank B.)
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