An aquarium pool has volume 2 106 liters. The pool initiallycontains pure fresh water

Chapter 11, Problem 28

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An aquarium pool has volume 2 106 liters. The pool initiallycontains pure fresh water. At t = 0 minutes, watercontaining 10 grams/liter of salt is poured into the pool ata rate of 60 liters/minute. The salt water instantly mixeswith the fresh water, and the excess mixture is drainedout of the pool at the same rate (60 liters/minute).(a) Write a differential equation for S(t), the mass ofsalt in the pool at time t.(b) Solve the differential equation to find S(t).(c) What happens to S(t) as t ?

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