a tank contains 50kg of salt and 1000 L of water. A solution of a concentration 0.025 kg of salt per liter enters a tank at the rate 9L/min. The solution is mixed and drains from the tank at the same rate. what is the concentration of our solution in the tank initially concentration = ? (kg/L) find the amount of salt in the tank after 3 hours. amount = ? kg c) Find the concentration of salt in the solution in the tank as time approaches infinity. concentration = ? (kg/L)
a tank contains 50kg of salt and 1000 L of water. A solution of a concentration 0.025 kg of salt per liter enters a tank at the rate 9L/min. The solution is mixed and drains from the tank at the same rate. what is the concentration of our solution in the tank initially concentration = ? (kg/L) find the amount of salt in the tank after 3 hours. amount = ? kg 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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Question
a tank contains 50kg of salt and 1000 L of water. A solution of a concentration 0.025 kg of salt per liter enters a tank at the rate 9L/min. The solution is mixed and drains from the tank at the same rate.
what is the concentration of our solution in the tank initially
concentration = ? (kg/L)
find the amount of salt in the tank after 3 hours. amount = ? kg
c) Find the concentration of salt in the solution in the tank as time approaches infinity.
concentration = ? (kg/L)
Expert Solution
Step 1
(a)
Initial concentration of salt in the tank is equal to initial amount present divided by the volume of water.
So, initial concentration of salt is:
So, initial concentration of salt is: kg/L.
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