A tank initially contains 1 gram of blue dye
dissolved in 10 liters of water. Pure water will
be added to the tank at a certain rate, and the
well-mixed solution will be drained from the
tank at the same rate. The tank is considered
"cleaned" when the dye concentration in the
tank is no more than 0.001 grams/liter.
(a) If the rate at which the pure water is
added (and the tank is drained) is 2 liters/
minute, how long does it take until the tank is
clean?
(b) If we want to clean the tank in 5 minutes,
how quickly must the pure water be poured
in?
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