Homework Help is Here – Start Your Trial Now!
Science
Advanced Physics
solution with a concentration

solution with a concentration

icon
Related questions
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 flowing from 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 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 6 L/min. The (diluted) solution flows out of the system from tank A at 4 L/min and from tank B at 2 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. A B 6 L/min 3 L/min 0.1 kg/L- x(t) y(t) 100 L x(0) = 0 kg 100 L y(0) = 10 kg 4 L/min 1 L/min What is the solution to the system? x(t)= y(t) = B 2 L/min ☺ ☑
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 3 L/min and from B into A at a rate of 1 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 6 L/min. The (diluted) solution flows out of the system from tank A at 4 L/min and from tank B at 2 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. A B 6 L/min 3 L/min 0.1 kg/L- x(t) y(t) 100 L x(0) = 0 kg 100 L y(0) = 10 kg 4 L/min 1 L/min What is the solution to the system? x(t)= y(t) = B 2 L/min ☺ ☑
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions