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 2 L/min. The liquid inside each tank is kept well stirred. A brine solution with a concentration of 0.2 kg/L of salt flows into tank rate of 12 L/min. The (diluted) solution flows out of the system from tank A at 8 L/min and from tank B at 4 L/min. If initially, tank A contains pure water and tank B contains 20 kg of salt, determine the mass of salt in each tank at time t≥ 0. Q Q A B 12 U/min- 6 Umin 0.2 kg/L x(t) 100 L x(0)=0 kg y(t) 100 L y(0) = 20 kg G 8 Umin 4 L/min 2 Umin What is the solution to the system? x(t)= y(t) 13

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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 6 L/min and from B into A at a rate of 2 L/min. The liquid inside each tank is kept well stirred. A brine solution with a concentration of 0.2 kg/L of salt flows into tank
rate of 12 L/min. The (diluted) solution flows out of the system from tank A at 8 L/min and from tank B at 4 L/min. If initially, tank A contains pure water and tank B contains 20 kg of salt, determine the mass of salt in each tank at time t≥ 0.
Q
Q
A
B
12 U/min-
6 Umin
0.2 kg/L
x(t)
100 L
x(0)=0 kg
y(t)
100 L
y(0) = 20 kg
G
8 Umin
4 L/min
2 Umin
What is the solution to the system?
x(t)=
y(t)
13
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 2 L/min. The liquid inside each tank is kept well stirred. A brine solution with a concentration of 0.2 kg/L of salt flows into tank rate of 12 L/min. The (diluted) solution flows out of the system from tank A at 8 L/min and from tank B at 4 L/min. If initially, tank A contains pure water and tank B contains 20 kg of salt, determine the mass of salt in each tank at time t≥ 0. Q Q A B 12 U/min- 6 Umin 0.2 kg/L x(t) 100 L x(0)=0 kg y(t) 100 L y(0) = 20 kg G 8 Umin 4 L/min 2 Umin What is the solution to the system? x(t)= y(t) 13
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