A tank initially contains 60 gal of pure water. Brine containing 3 lb of salt per gallon enters the tank at 2 gal/min, and the (perfectly mixed) solution leaves the tank at 3 gal/min. Thus, the tank is empty after exactly 1 h (a) Find the amount of salt in the tank after t minutes. (b) What is the maximum amount of salt ever in the tank? (a) The amount of salt x in the tank after t minutes is x = C

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A tank initially contains 60 gal of pure water. Brine containing 3 lb of salt per gallon enters the tank at 2 gal/min, and the (perfectly mixed) solution leaves the tank at 3
gal/min. Thus, the tank is empty after exactly 1 h.
(a) Find the amount of salt in the tank after t minutes.
(b) What is the maximum amount of salt ever in the tank?
(a) The amount of salt x in the tank after t minutes is x =
C
Transcribed Image Text:A tank initially contains 60 gal of pure water. Brine containing 3 lb of salt per gallon enters the tank at 2 gal/min, and the (perfectly mixed) solution leaves the tank at 3 gal/min. Thus, the tank is empty after exactly 1 h. (a) Find the amount of salt in the tank after t minutes. (b) What is the maximum amount of salt ever in the tank? (a) The amount of salt x in the tank after t minutes is x = C
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