A 200-liter tank initially contains 100 liters of brine solution containing 25kg of salt. A brine  solution containing 0.5 kg/ liter of salt flows into the container at a rate of 1 liter/min. The solution  is kept thoroughly mixed, and the mixture flows out at a rate of 0.5 liters/min. How much salt is  in the container after 10 minutes? When the tank is about to overflow, another drain is opened  at 1 liter/min. How much salt is in the tank when the volume returns to what it was initially?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
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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A 200-liter tank initially contains 100 liters of brine solution containing 25kg of salt. A brine 
solution containing 0.5 kg/ liter of salt flows into the container at a rate of 1 liter/min. The solution 
is kept thoroughly mixed, and the mixture flows out at a rate of 0.5 liters/min. How much salt is 
in the container after 10 minutes? When the tank is about to overflow, another drain is opened 
at 1 liter/min. How much salt is in the tank when the volume returns to what it was initially? 

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