A tank contains 100 kg of salt and 1000 L of water. A solution of a concentration 0.05 kg of salt per liter enters a tank at the rate 9 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 = (kg/L) (b) Find the amount of salt in the tank after 2.5 hours. amount = (kg) (c) Find the concentration of salt in the solution in the tank as time approaches infinity. concentration = (kg/L)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
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A tank contains 100 kg of salt and 1000 L of water. A solution of a concentration 0.05 kg of salt per liter
enters a tank at the rate 9 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 =
(kg/L)
(b) Find the amount of salt in the tank after 2.5 hours.
amount =
(kg)
(c) Find the concentration of salt in the solution in the tank as time approaches infinity.
concentration =
(kg/L)
Transcribed Image Text:A tank contains 100 kg of salt and 1000 L of water. A solution of a concentration 0.05 kg of salt per liter enters a tank at the rate 9 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 = (kg/L) (b) Find the amount of salt in the tank after 2.5 hours. amount = (kg) (c) Find the concentration of salt in the solution in the tank as time approaches infinity. concentration = (kg/L)
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