Two tanks are interconnected. Tank A contains 70 grams of salt in 50 liters of water, and Tank B contains 80grams of salt in 20 liters of water.A solution of 4 gram/L flows into Tank A at a rate of 5 L/min, while a solution of 1 grams/L flows into TankB at a rate of 10 L/min. The tanks are well mixed.The tanks are connected, so 6 L/min flows from Tank A to Tank B, while 1 L/min flows from Tank B to TankA. An additional 15 L/min drains from Tank B.Letting a represent the grams of salt in Tank A, and y represent the grams of salt in Tank B, set up thesystem of differential equations for these two tanks.dxdtdydtx (0) =112y(0) =

Given that Two tanks are interconnected. Tank A contains 70 grams of salt in 50 liters of water, and…

Answered: Two tanks are interconnected. Tank A…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Two large tanks, each holding 100 L of liquid, are interconnected by pipes, with the liquid flowing from tank A into tank B at a rate of 5 L/min and from B into A at a rate of 4 L/min. The liquid inside each tank is kept well stirred. A brine solution with a concentration of 0.1 kg/L of salt flows into tank A at a rate of 10 L/min. The (diluted) solution flows out of the system from tank A at 9 L/min and from tank B at 1 L/min. If initially, tank A contains pure water and tank B contains 10 kg of salt, determine the mass of salt in each tank at time t≥0. x(t) = 10 L/min- 0.1 kg/L y(t) = 9 L/min A x(t) 100 L x(0) = 0 kg 5 L/min What is the solution to the system? 18 4 L/min B y(t) 100 L y(0) = 10 kg ..... 1 L/min O ✔
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