A tank initially contains 20 L of water. A solution containing 1 g/L of chemical flows into the tank at a rate of 3 L/min, and the mixture flows out at a rate of 2 L/min.
(a) Set up and solve the initial-value problem for A(t), the amount of chemical in the tank at time t.
(b) When does the concentration of chemical in the tank reach 0.5 g/L?
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