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A solution of hydrochloric acid accidentally leaks into a spring fed freshwater lake, which in turn...

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Advance Math

A solution of hydrochloric acid accidentally leaksinto a spring fed freshwater lake, which in turn feeds a singlestream. the acid leaks into the lake at a rate of 2 gallons perhour and has a concentration if 3 pounds per gallon. The lakeinitially contains 4000 gallons of water. Water flows into the lakefrom the spring at a rate of 100 gallons per hour and fluid flowsout of the lake into the stream at a rate of 100 gallons perhour.
a) Set up the initial value problem that models the dynamics ifacid in the lake.
b) Solve the initial value problem from part a.
c) compute the amount of acid in the lake after 1 hour

Answer & Explanation Solved by verified expert
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Given thatthe lake at a rate of 2 gallons per hour and has    See Answer
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