Suppose there are two lakes located on a stream. Clean water flows into the first lake,...

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Suppose there are two lakes located on a stream. Clean waterflows into the first lake, then the water from the first lake flowsinto the second lake, and then water from the second lake flowsfurther downstream. The in and out flow from each lake is 500liters per hour. The first lake contains 100 thousand liters ofwater and the second lake contains 200 thousand liters of water. Atruck with 500 kg of toxic substance crashes into the first lake.Assume that the water is being continually mixed perfectly by thestream.

a) Find the concentration of toxic substance as a function oftime in both lakes.

b) When will the concentration in the first lake be below 0.001kg per liter?

c) When will the concentration in the second lake bemaximal?

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