A brine solution of salt flows at a constant rate of 3 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 2 L/min. If the concentration of salt in the brine entering the tank is 0.3 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? dx If x equals the mass of salt in the tank after t minutes, first express input rate-output rate in terms of the given data. dx

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
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A brine solution of salt flows at a constant rate of 3 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 2 L/min. If the concentration of salt in the brine entering the tank is 0.3 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?
If x equals the mass of salt in the tank after t minutes, first express = input rate - output rate in terms of the given data.
dx
dt
dx
dt
C
Transcribed Image Text:A brine solution of salt flows at a constant rate of 3 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 2 L/min. If the concentration of salt in the brine entering the tank is 0.3 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? If x equals the mass of salt in the tank after t minutes, first express = input rate - output rate in terms of the given data. dx dt dx dt C
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