A tank contains 100 kg of salt and 2000 L of water. A solution of a concentration 0.025 kg of salt per liter enters a tank at the rate 5 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 1 hours. amount (kg) %3D (c) Find the concentration of salt in the solution in the tank as time approaches infinity. concentration = (kg/L)
A tank contains 100 kg of salt and 2000 L of water. A solution of a concentration 0.025 kg of salt per liter enters a tank at the rate 5 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 1 hours. amount (kg) %3D (c) Find the concentration of salt in the solution in the tank as time approaches infinity. concentration = (kg/L)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A tank contains 100 kg of salt and 2000 L of
water. A solution of a concentration 0.025 kg of
salt per liter enters a tank at the rate 5 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 1
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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