A tank contains 60 kg of salt and 1000 L of water. A solution of concentration .03 kg of salt per liter enters a tank at a rate of 9 L/min. The solution is mixed and drains the tank at the same rate. -- What is the concentration of the solution initially in kg/L? What is the amount of salt after 4.5 hours in kg? What is the concentration of salt as time approaches infinity in kg/L?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
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A tank contains 60 kg of salt and 1000 L of water.

A solution of concentration .03 kg of salt per liter enters a tank at a rate of 9 L/min.

The solution is mixed and drains the tank at the same rate.

--

What is the concentration of the solution initially in kg/L?

What is the amount of salt after 4.5 hours in kg?

What is the concentration of salt as time approaches infinity in kg/L?

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