A tank initially contains 50 gal of brine in which there is 10 lb of salt. Starting t = 0, a brine containing 2 lb of dissolved salt per gal flows into the tank at the rate of 5 gal/min. The mixture is kept uniform by stirring and the well-stirred mixture flows out at the rate of 3 gal/min. How much salt is in the tank at any time t> 0 ?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
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A tank initially contains 50 gal of brine in which there is 10 lb of salt. Starting t= 0, a
brine containing 2 lb of dissolved salt per gal flows into the tank at the rate of 5 gal/min.
The mixture is kept uniform by stirring and the well-stirred mixture flows out at the rate
of 3 gal/min. How much salt is in the tank at any time t> 0 ?
Transcribed Image Text:A tank initially contains 50 gal of brine in which there is 10 lb of salt. Starting t= 0, a brine containing 2 lb of dissolved salt per gal flows into the tank at the rate of 5 gal/min. The mixture is kept uniform by stirring and the well-stirred mixture flows out at the rate of 3 gal/min. How much salt is in the tank at any time t> 0 ?
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