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 6 L/min and from B into A at a rate of 3 L/min. The liquid inside each tank is kept well stirred. A brine solution with a concentration of 0.3 kg/L of salt flows into tank A at a rate of 12 L/min. The (diluted) solution flows out of the system from tank A at 9 L/min and from tank B at 3 L/min. If initially, tank A contains pure water and tank B contains 30 kg of salt, determine the mass of salt in each tank at time 120. Q 12 L/min- 0.3 kg/L- 9 L/min - X(t) 100 L x(0)=0 kg 6 L/min 3 L/min What is the solution to the system? x(t) = y(t) = B y(t) 100 L y(0) = 30 kg 3 L/min ✔
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 6 L/min and from B into A at a rate of 3 L/min. The liquid inside each tank is kept well stirred. A brine solution with a concentration of 0.3 kg/L of salt flows into tank A at a rate of 12 L/min. The (diluted) solution flows out of the system from tank A at 9 L/min and from tank B at 3 L/min. If initially, tank A contains pure water and tank B contains 30 kg of salt, determine the mass of salt in each tank at time 120. Q 12 L/min- 0.3 kg/L- 9 L/min - X(t) 100 L x(0)=0 kg 6 L/min 3 L/min What is the solution to the system? x(t) = y(t) = B y(t) 100 L y(0) = 30 kg 3 L/min ✔
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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Transcribed Image Text: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 6 L/min and from B into A at a rate of 3 L/min. The liquid inside each tank is kept well stirred. A brine solution with a concentration of 0.3 kg/L of salt
flows into tank A at a rate of 12 L/min. The (diluted) solution flows out of the system from tank A at 9 L/min and from tank B at 3 L/min. If initially, tank A contains pure water and tank B contains 30 kg of salt, determine the mass of salt in each tank at time t≥ 0.
12 L/min-
0.3 kg/L
x(t) =
y(t) =
9 L/min
A
x(t)
100 L
x(0) = 0 kg
6 L/min
3 L/min
What is the solution to the system?
B
y(t)
100 L
y(0) = 30 kg
3 L/min
Q
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