A brine solution of salt flows at a constant rate of 6L/min into a large tank that initially held 200L of pure water. The solution inside the tank is kept well stirred and flows put of the tank at a rate of 8L/min. The concentration of salt in the brine entering the tank is 0.3kg/L. Please answer each following question (a) There is a difference between rate in and out of the tank. Determine the volume of fluid in the tank after t minutes. (a) (b) Determine the differential equation model then solve for the amount of salt in the tank (b) (c) Determine salt concentration in the tank after t min.
A brine solution of salt flows at a constant rate of 6L/min into a large tank that initially held 200L of pure water. The solution inside the tank is kept well stirred and flows put of the tank at a rate of 8L/min. The concentration of salt in the brine entering the tank is 0.3kg/L. Please answer each following question (a) There is a difference between rate in and out of the tank. Determine the volume of fluid in the tank after t minutes. (a) (b) Determine the differential equation model then solve for the amount of salt in the tank (b) (c) Determine salt concentration in the tank after t min.
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 brine solution of salt flows at a constant rate of 6L/min into a large tank that
initially held 200L of pure water. The solution inside the tank is kept well stirred and flows
out of the tank at a rate of 8L/min. The concentration of salt in the brine entering the tank
is 0.3kg/L. Please answer each following question
(a) There is a difference between rate in and out of the tank. Determine the volume of fluid
in the tank after t minutes.
(a)
(b) Determine the differential equation model then solve for the amount of salt in the tank
(b)
(c) Determine salt concentration in the tank after t min.
(c)
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