Consider two brine tanks connected as shown in the figure Th

Consider two brine tanks connected as shown in the figure. The brine solution is pumped from tank 1 into tank 2 at a rate of 10 L/min, and from tank 2 into tank 1 at a rate of 10 L/min. Suppose there are 50 L of brine in tank 1 and 25 L of brine in tank 2. Let x be the amount of salt, in kilograms, in tank 1 after t minutes have elapsed, and let y the amount of salt, in kilograms, in tank 2 after t minutes have elapsed. Assume that each tank is mixed perfectly.

1.If x(0)=5 kg and y(0)=4 kg, find the amount of salt in each tank after t minutes.

2.As t, how much salt is in each tank?
In the long run, tank 1 will have________ kilograms of salt.
In the long run, tank 2 will have ________ kilograms of salt.
(Reread the question and think about why this answer makes sense.)

Solution

Please, send again the figure of two tanks connected