A 400-gal tank initially contains 100 gal of brine contain- ing 50 lb of salt. Brine containing 1 lb of salt per gallon enters the tank at the rate of 5 gal/s, and the well-mixed brine in the tank flows out at the rate of 3 gal/s. How much salt will the tank contain when it is full of brine?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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This is a practice question from my Differential Equations course.

I keep coming up with 387.5 pounds, but the back of the book says it should be 393.75 pounds.

What do you come up with?

Thank you.

37. A 400-gal tank initially contains 100 gal of brine contain-
ing 50 lb of salt. Brine containing 1 lb of salt per gallon
enters the tank at the rate of 5 gal/s, and the well-mixed
brine in the tank flows out at the rate of 3 gal/s. How
much salt will the tank contain when it is full of brine?
Transcribed Image Text:37. A 400-gal tank initially contains 100 gal of brine contain- ing 50 lb of salt. Brine containing 1 lb of salt per gallon enters the tank at the rate of 5 gal/s, and the well-mixed brine in the tank flows out at the rate of 3 gal/s. How much salt will the tank contain when it is full of brine?
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