A 1200-liter capacity tank holds 100 Liters of pure water. A sugar-water slurry containing a sugar concentration of 3 kg/L is poured into the tank at a rate of 10 L/min. Meanwhile, a drain in the tank permits 5 L/min of the slurry to escape. Assuming instantaneous mixing of the contents of the tank, develop the DE whose solution will describe the mass of sugar in the tank at any time. Then state the condition when the maximum amount of sugar will be in the tank.
A 1200-liter capacity tank holds 100 Liters of pure water. A sugar-water slurry containing a sugar concentration of 3 kg/L is poured into the tank at a rate of 10 L/min. Meanwhile, a drain in the tank permits 5 L/min of the slurry to escape. Assuming instantaneous mixing of the contents of the tank, develop the DE whose solution will describe the mass of sugar in the tank at any time. Then state the condition when the maximum amount of sugar will be in the tank.
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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A 1200-liter capacity tank holds 100 Liters of pure water. A sugar-water slurry containing a sugar concentration of 3 kg/L is poured into the tank at a rate of 10 L/min. Meanwhile, a drain in the tank permits 5 L/min of the slurry to escape. Assuming instantaneous mixing of the contents of the tank, develop the DE whose solution will describe the mass of sugar in the tank at any time. Then state the condition when the maximum amount of sugar will be in the tank.
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