A reservoir contains 100 million gallons of water. On the first of January, the EPA measures...

A reservoir contains 100 million gallons of water. On the first of January, the EPA measures the amount of a pollutant in the reservoir and determines that there are C pounds of pollutant. The reservoir is fed by a polluted stream that brings in 1 million gallons of water per day. This stream water contains the pollutant at a concentration of 0.00002 pounds of pollutant per gallon. At the same time, reservoir water escapes through a channel to the ocean in such a way that the amount of water in the reservoir stays fixed. Let P(t) denote the amount of pollutant in pounds the reservoir at time t.

A )How many pounds of pollutant enters the reservoir per day ?

B )How many pounds of pollutant exits the reservoir per day?

C )Write a differential equation that describes the rate that the amount of the pollutant present in the reservoir is changing. You should include any initial conditions that the pollutant satisfies, but you do not need to solve the differential equation

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Expert Solution

Forming the differential equation of a mixing problem describing the rate of change of amount of a solute in the water of a reservoir

milcah answered 1 year ago

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