A 40 gal tank initially contains 11 gal of fresh water. At t = 0, a brine solution containing 1.2 lb of salt per gallon is poured into the tank at the rate of 3.5 gal / min, while the well – stirred mixture leaves the tank at a rate of 2 gal / min. Determine the amount of time to overflow the tank and the amount of salt as soon as the tank overflows.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A 40 gal tank initially contains 11 gal of fresh water. At t = 0, a brine solution containing 1.2 lb of salt per
gallon is poured into the tank at the rate of 3.5 gal / min, while the well – stirred mixture leaves the tank at a
rate of 2 gal / min. Determine the amount of time to overflow the tank and the amount of salt as soon as the
tank overflows.

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