Abrine solution of salt flows at a constant rate of 4 L/min into a large tank that initially held 100 ank at a rate of 3 L/min. If the concentration of salt in the brine entering the tank is 0.4 kg/L, determine the mass of salt in the tank after t min. Wh he tank reach 0.2 kg/L? Determine the mass of salt in the tank after t min 4x10² (t+1003) mass= 4(t+100)- kg

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
Question
A brine solution of salt flows at a constant rate of 4 L/min into a large tank that initially held 100 L of pure water. The solution inside the tank is kept well stirred and flows out of the
tank at a rate of 3 L/min. If the concentration of salt in the brine entering the tank is 0.4 kg/L, determine the mass of salt in the tank after t min. When will the concentration of salt in
the tank reach 0.2 kg/L?
Determine the mass of salt in the tank after t min.
mass= 4(t+100) -
4x10²
(t+100³)
kg
A
Transcribed Image Text:A brine solution of salt flows at a constant rate of 4 L/min into a large tank that initially held 100 L of pure water. The solution inside the tank is kept well stirred and flows out of the tank at a rate of 3 L/min. If the concentration of salt in the brine entering the tank is 0.4 kg/L, determine the mass of salt in the tank after t min. When will the concentration of salt in the tank reach 0.2 kg/L? Determine the mass of salt in the tank after t min. mass= 4(t+100) - 4x10² (t+100³) kg A
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