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 0.5 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=0.5(100+t)-5-105 (100+t)-² kg When will the concentration of salt in the tank reach 0.2 kg/L? The concentration of salt in the tank reach 0.2 kg/L after (Round to two decimal places as needed.) minutes.
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 0.5 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=0.5(100+t)-5-105 (100+t)-² kg When will the concentration of salt in the tank reach 0.2 kg/L? The concentration of salt in the tank reach 0.2 kg/L after (Round to two decimal places as needed.) minutes.
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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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 0.5 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 = 0.5(100 +t) - 5 • 105 (100 +t)¯ kg
When will the concentration of salt in the tank reach 0.2 kg/L?
The concentration of salt in the tank reach 0.2 kg/L after minutes.
(Round to two decimal places as needed.)
C
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