A 50-gal tank initially contains 10 gal of fresh water. At t = 0, a brine solution containing 1lb of salt per gallon is poured into the tank at the rate of 4 gal/min, while the well-stirred mixture leaves the tank at the rate of 2 gal/min. Find (a) the amount of time required for overflow to occur and (b) the amount of salt in the tank at the moment of overflow.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
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A 50-gal tank initially contains 10 gal of fresh water. At t = 0, a brine solution
containing 1lb of salt per gallon is poured into the tank at the rate of 4 gal/min, while
the well-stirred mixture leaves the tank at the rate of 2 gal/min.
Find (a) the amount of time required for overflow to occur and (b) the amount of salt in
the tank at the moment of overflow.
Transcribed Image Text:A 50-gal tank initially contains 10 gal of fresh water. At t = 0, a brine solution containing 1lb of salt per gallon is poured into the tank at the rate of 4 gal/min, while the well-stirred mixture leaves the tank at the rate of 2 gal/min. Find (a) the amount of time required for overflow to occur and (b) the amount of salt in the tank at the moment of overflow.
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