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A brine solution of salt flows at a constant rate of 7 L/min into a large tank that initially held 100 L of brine solution in which was dissolved 0.2 kg of salt. The solution inside the tank is kept well stirred and flows out of the tank at the same rat If the concentration of salt in the brine entering the tank is 0.04 kg/L, determine the mass of salt in the tank after t min. When will the concentration of salt in the tank reach 0.02 kg/L?

A brine solution of salt flows at a constant rate of 7 L/min into a large tank that initially held 100 L of brine solution in which was dissolved 0.2 kg of salt. The solution inside the tank is kept well stirred and flows out of the tank at the same rat If the concentration of salt in the brine entering the tank is 0.04 kg/L, determine the mass of salt in the tank after t min. When will the concentration of salt in the tank reach 0.02 kg/L?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 9T
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A brine solution of salt flows at a constant rate of 7 L/min into a large tank that initially held 100 L of brine solution in which was dissolved 0.2 kg of salt. The solution inside the tank is kept well stirred and flows out of the tank at the same rate. If the concentration of salt in the brine entering the tank is 0.04 kg/L, determine the mass of salt in the tank after t min. When will the concentration of salt in the tank reach 0.02 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 Determine the mass of salt in the tank after t min. mass= kg When will the concentration of salt in the tank reach 0.02 kg/L? The concentration of salt in the tank will reach 0.02 kg/L after minutes. (Round to two decimal places as needed.)
Transcribed Image Text:A brine solution of salt flows at a constant rate of 7 L/min into a large tank that initially held 100 L of brine solution in which was dissolved 0.2 kg of salt. The solution inside the tank is kept well stirred and flows out of the tank at the same rate. If the concentration of salt in the brine entering the tank is 0.04 kg/L, determine the mass of salt in the tank after t min. When will the concentration of salt in the tank reach 0.02 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 Determine the mass of salt in the tank after t min. mass= kg When will the concentration of salt in the tank reach 0.02 kg/L? The concentration of salt in the tank will reach 0.02 kg/L after minutes. (Round to two decimal places as needed.)
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