2) A pond holding 1,230,000 gallons has been contaminated with 150,000 pounds of salt. Pure water...

2) A pond holding 1,230,000 gallons has been contaminated with 150,000 pounds of salt. Pure water is pumped into the pond at a rate of 120 thousand gallons per hour and contaminated water is pumped from the pond at the same rate. The differential equation that models this situation is ?? / ?? = − 120? / 1230 where ?(0) = 150 where S is thousands of pounds of salt and t is hours.

a) Solve the differential equation.

b) Fresh water fish can be introduced to the pond when the amount of salt in the pond is less than 500 pounds. Will you be able to introduce the fish after 5 hours? (Explain)

c) After how many hours will you be able to introduce fish to the pond?

Expert Solution

milcah answered 2 years ago

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