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1. Detailed figure showing all flowrates, initial conditions and concentrations of each tank. 2. An equation for each tank that gives the amount of salt at any time t

1. Detailed figure showing all flowrates, initial conditions and concentrations of each tank. 2. An equation for each tank that gives the amount of salt at any time t

Advanced Engineering Mathematics
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 interacting tanks are utilized to produce a saline solution; tank A initially contains 100 kg of salt dissolved in 200 L of pure water. Pure water is pumped into tank A at a rate of 4 L/min. The resulting mixture is pumped into tank B, which initially contains 200 L of pure water, at a rate of 6 L/min. A return stream from tank B is allowed to flow back into tank A at 2 L/min. An exit stream exits at the bottom of tank B at 4 L/min. If a stirrer ensures that the solution in both tanks is well-mixed at all times, find the following: 1. Detailed figure showing all flowrates, initial conditions and concentrations of each tank. 2. An equation for each tank that gives the amount of salt at any time t 3. The amount of salt in tanks A and B after 180 seconds.
Transcribed Image Text:Two interacting tanks are utilized to produce a saline solution; tank A initially contains 100 kg of salt dissolved in 200 L of pure water. Pure water is pumped into tank A at a rate of 4 L/min. The resulting mixture is pumped into tank B, which initially contains 200 L of pure water, at a rate of 6 L/min. A return stream from tank B is allowed to flow back into tank A at 2 L/min. An exit stream exits at the bottom of tank B at 4 L/min. If a stirrer ensures that the solution in both tanks is well-mixed at all times, find the following: 1. Detailed figure showing all flowrates, initial conditions and concentrations of each tank. 2. An equation for each tank that gives the amount of salt at any time t 3. The amount of salt in tanks A and B after 180 seconds.
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