A tank contains 60 kg of salt and 1000 L of water. Pure water enters a...

A tank contains 60 kg of salt and 1000 L of water. Pure water enters a tank at the rate 12 L/min. The solution is mixed and drains from the tank at the rate 6 L/min.

(a) What is the amount of salt in the tank initially?
amount =  (kg)

(b) Find the amount of salt in the tank after 3 hours.
amount =   (kg)

(c) Find the concentration of salt in the solution in the tank as time approaches infinity. (Assume your tank is large enough to hold all the solution.)
concentration =   (kg/L)

Solutions

Expert Solution

The given problem is modeled in the form of an initial value problem which we have solved based on the given information. The solutions to all the questions are provided in the attachments.

Colby Messinger answered 1 year ago

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