Question

Two tanks contain 50L of brine each. The first one has a salt concentration of 10 gr/L while the second one has a salt concentration of 20 gr/L. A solution with a salt concentration of 2 gr/L is pumped into the first tank at a rate of 2 L/s and then spills from a hole into the second tank at a rate of 2 L/s. The solution then spills again from a hole in the second tank at a rate of 4 L/s. Assume that the solutions instantaneously mix in the tanks. Set up an initial value problem involving a system of differential equations whose solutions represent the amounts of salt in each tank as functions of time.

Answer 1