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A tank contains 60 kg of salt and 2000 L of water. A solution of a concentration 0.015 kg of salt per liter enters a tank at the rate 6 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 = 0.03 vo (kg/L) (b) Find the equation for the amount of salt in the tank after t hours. amount(t) = (kg) !! (c) Find the amount of salt in the tank after 1.5 hours. amount = (kg) (d) Find the concentration of salt in the solution in the tank as time approaches infinity. concentration = 0.015 f (kg/L)

A tank contains 60 kg of salt and 2000 L of water. A solution of a concentration 0.015 kg of salt per liter enters a tank at the rate 6 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 = 0.03 vo (kg/L) (b) Find the equation for the amount of salt in the tank after t hours. amount(t) = (kg) !! (c) Find the amount of salt in the tank after 1.5 hours. amount = (kg) (d) Find the concentration of salt in the solution in the tank as time approaches infinity. concentration = 0.015 f (kg/L)

Advanced Engineering Mathematics
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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FIND B AND C

A tank contains 60 kg of salt and 2000 L of water. A solution of a concentration 0.015 kg of salt per liter enters a tank at the rate 6 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 = 0.03 o (kg/L) (b) Find the equation for the amount of salt in the tank after t hours. amount(t) (kg) (c) Find the amount of salt in the tank after 1.5 hours. amount = (kg) (d) Find the concentration of salt in the solution in the tank as time approaches infinity. concentration = 0.015 o (kg/L)
Transcribed Image Text:A tank contains 60 kg of salt and 2000 L of water. A solution of a concentration 0.015 kg of salt per liter enters a tank at the rate 6 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 = 0.03 o (kg/L) (b) Find the equation for the amount of salt in the tank after t hours. amount(t) (kg) (c) Find the amount of salt in the tank after 1.5 hours. amount = (kg) (d) Find the concentration of salt in the solution in the tank as time approaches infinity. concentration = 0.015 o (kg/L)
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