Question

1. Consider a 400-gallon capacity tank of water that contains 200 gallons of water in which 10 pounds of salt are dissolved. Suppose that water with a salt concentration of 2 pounds per gallon enters the tank at a rate of 6 gallons per minute, is well-stirred, and the mixture leaves the tank at 9 gallons per minute.
   

1. Set up and solve the initial value problem to get the amount of salt as a function of time.
2. Use this function to determine the maximum amount of salt in the tank and the time that it occurs (two decimal place rounding of your answer).        

3. Suppose that, actually, the pump moving the mixture out of the tank is damaged and that the mixture is leaving the tank at only 4 gallons per minute. (Water is still coming in at 6 gallons per minute.)
4. Set up and solve this problem and then determine the amount of salt in the water in the tank at the moment the tank reaches capacity.                                                                                                    

Answer 1

Any query then comment below...I will help you..