A tank is filled with 300 liters (L) of contaminated water containing 3 kg of toxin

Chapter 9, Problem 48

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A tank is filled with 300 liters (L) of contaminated water containing 3 kg of toxin. Pure water is pumped in at a rate of 40 L/min, mixes instantaneously, and is then pumped out at the same rate. Let y(t) be the quantity of toxin present in the tank at time t. (a) Find a differential equation satisfied by y(t). (b) Solve for y(t). (c) Find the time at which there is 0.01 kg of toxin present.

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