A salt solution enters a mixing tank at 4 gal/min and exits the tank at 2 gal/min. Due to problems in the control system, the inlet concentration fluctuates according to the equation cos (t). The tank initially contains 50 gallons of salt solution with a concentration of 0.5 lb/gal. Determine the concentration just before the tank overflows if the tank has a capacity of 100 gallons.
A salt solution enters a mixing tank at 4 gal/min and exits the tank at 2 gal/min. Due to problems in the control system, the inlet concentration fluctuates according to the equation cos (t). The tank initially contains 50 gallons of salt solution with a concentration of 0.5 lb/gal. Determine the concentration just before the tank overflows if the tank has a capacity of 100 gallons.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A salt solution enters a mixing tank at 4 gal/min and exits the tank at 2 gal/min. Due to problems in the
control system, the inlet concentration fluctuates according to the equation cos (t). The tank initially
contains 50 gallons of salt solution with a concentration of 0.5 lb/gal. Determine the concentration just
before the tank overflows if the tank has a capacity of 100 gallons.
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