An 800-gallon tank initially contains 50 lbs of salt dissolved in water to create 250 gallons of brine. A brine bearing 0.1 lb/gallon enters the tank at a rate of 35 gallons/hr. Instantaneous mixing is assumed. Meanwhile, brine is pumped out of the tank at a rate of 20 gallons/hour. Develop the equation which describes the amount of salt in the tank at any time. Then determine the amount of salt in the tank when it is completely full.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 45SE: A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the...
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An 800-gallon tank initially contains 50 lbs of salt dissolved in water to create 250 gallons of brine. A brine bearing 0.1 lb/gallon enters the tank at a rate of 35 gallons/hr. Instantaneous mixing is assumed. Meanwhile, brine is pumped out of the tank at a rate of 20 gallons/hour. Develop the equation which describes the amount of salt in the tank at any time. Then determine the amount of salt in the tank when it is completely full.

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