A 500 gallon tank originally contains 100 gallons of fresh water. Beginning at time t =

Chapter 1, Problem 11

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A 500 gallon tank originally contains 100 gallons of fresh water. Beginning at time t = 0, water containing 50 percent pollutants flows into the tank at the rate of 2 gal/min, and the well-stirred mixture leaves at the rate of 1 gal/min. Find the concentration of pollutants in the tank at the moment it overflows.

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