A tank contains 90 kg of salt and 2000 L of water. A solution of a concentration 0.0225 kg of salt per liter enters a tank at the rate 8 L/min. The solution is mixed and drains from the tank at the same rate. (a) What is the concentration of our solution in the tank initially? concentration - .045 (kg/L) (b) Find the equation for the amount of salt in the tank after t minutes. amount (t) - (kg) (c) Find the amount of salt in the tank after 3.5 hours. amount = (kg) (d) Find the concentration of salt in the solution in the tank as time approaches infinity. concentration -.0225 (kg/L)

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A tank contains 90 kg of salt and 2000 L of water. A solution of a concentration 0.0225 kg of salt per liter
enters a tank at the rate 8 L/min. The solution is mixed and drains from the tank at the same rate.
(a) What is the concentration of our solution in the tank initially?
concentration =.045
(kg/L)
(b) Find the equation for the amount of salt in the tank after t minutes.
amount(t) =
(kg)
(c) Find the amount of salt in the tank after 3.5 hours.
amount =
(kg)
(d) Find the concentration of salt in the solution in the tank as time approaches infinity.
concentration =
.0225
(kg/L)
Transcribed Image Text:A tank contains 90 kg of salt and 2000 L of water. A solution of a concentration 0.0225 kg of salt per liter enters a tank at the rate 8 L/min. The solution is mixed and drains from the tank at the same rate. (a) What is the concentration of our solution in the tank initially? concentration =.045 (kg/L) (b) Find the equation for the amount of salt in the tank after t minutes. amount(t) = (kg) (c) Find the amount of salt in the tank after 3.5 hours. amount = (kg) (d) Find the concentration of salt in the solution in the tank as time approaches infinity. concentration = .0225 (kg/L)
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