4.(12 pts) A 20,000 liter tank is initially half full with 10,000 liters of 2% nitric...

4.(12 pts) A 20,000 liter tank is initially half full with 10,000 liters of 2% nitric acid. A solution of 5% nitric acid is pumped in at a rate of 30 liters per minute and the well mixed mixture is pumped out at the same rate of 30 liters per minute.

(a)(8 pts) Set up (But Don’t Solve) an IVP whose solution gives the amount of x(t) of pure nitric acid (in liters) in the tank at time t

(b)(4 pts) Use a quick qualitative analysis of the IVP you found in part (a) to predict how much pure nitric acid will be in the tank as t→infinity(Show a phase line or direction field to predict what happens as t→infinity

Expert Solution

Colby Messinger answered 2 years ago

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