Two large tanks, each holding 100L of liquid, are interconnected by pipes, with the liquid flowing from tank A into tank B at a rate of 3L/min and from B into A at a rate of 1L/min. The liquid inside each tank is kept well stirred. A brine solution with a concentration of 0.1kg/L of salt flows into tank A at a rate of 6L/min. The (diluted) solution flows out of the system from tank A at 4L/min and from tank B at 2L/min. If initially, tank A contains pure water and tank B contains 10kg of salt, determine the mass of salt in each tank at time t≥0. What is the solution to the system? x(t)= y(t)= Two large tanks, each holding 100 L of liquid, are interconnected by pipes, with the liquid flowingfrom tank A into tank B at a rate of 3 L/min and from B into A at a rate of 1 L/min. The liquid insideeach tank is kept well stirred. A brine solution with a concentration of 0.1 kg/L of salt flows intotank A at a rate of 6 L/min. The (diluted) solution flows out of the system from tank A at 4 L/minand from tank B at 2 L/min. If initially, tank A contains pure water and tank B contains 10 kgof salt, determine the mass of salt in each tank at time t≥ 0.AB6 L/min3 L/min0.1 kg/L-x(t)y(t)100 Lx(0) = 0 kg100 Ly(0) = 10 kg4 L/min1 L/minWhat is the solution to the system?x(t)=y(t) =B2 L/min☺☑

Question

Two large tanks, each holding 100L of liquid, are interconnected by pipes, with the liquid flowing from tank A into tank B at a rate of 3L/min and from B into A at a rate of 1L/min. The liquid inside each tank is kept well stirred. A brine solution with a concentration of 0.1kg/L of salt flows into tank A at a rate of 6L/min. The (diluted) solution flows out of the system from tank A at 4L/min and from tank B at 2L/min. If initially, tank A contains pure water and tank B contains 10kg of salt, determine the mass of salt in each tank at time t≥0. What is the solution to the system? x(t)=                                    y(t)= Two large tanks, each holding 100 L of liquid, are interconnected by pipes, with the liquid flowingfrom tank A into tank B at a rate of 3 L/min and from B into A at a rate of 1 L/min. The liquid insideeach tank is kept well stirred. A brine solution with a concentration of 0.1 kg/L of salt flows intotank A at a rate of 6 L/min. The (diluted) solution flows out of the system from tank A at 4 L/minand from tank B at 2 L/min. If initially, tank A contains pure water and tank B contains 10 kgof salt, determine the mass of salt in each tank at time t≥ 0.AB6 L/min3 L/min0.1 kg/L-x(t)y(t)100 Lx(0) = 0 kg100 Ly(0) = 10 kg4 L/min1 L/minWhat is the solution to the system?x(t)=y(t) =B2 L/min☺☑

Accepted Answer

Answered: Image /qna-images/answer/c1538588-8f14-4448-9d81-506d889748ab.jpg