A tank initially holds 80 gal of a brine solution containing 1/8 lb of salt per gallon. At t=0, another brine solution containing 1 lb of salt per gallon of solution is poured into the tank at the rate of 4 gal/min, while well-stirred mixture leaves the tank at the rate of 8 gal/min. Determine when the tank will be empty.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
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A tank initially holds 80 gal of a brine solution containing 1/8 lb of salt per gallon. At t=0, another brine
solution containing 1 lb of salt per gallon of solution is poured into the tank at the rate of 4 gal/min, while
well-stirred mixture leaves the tank at the rate of 8 gal/min. Determine when the tank will be empty.
Transcribed Image Text:A tank initially holds 80 gal of a brine solution containing 1/8 lb of salt per gallon. At t=0, another brine solution containing 1 lb of salt per gallon of solution is poured into the tank at the rate of 4 gal/min, while well-stirred mixture leaves the tank at the rate of 8 gal/min. Determine when the tank will be empty.
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