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(b) In an oil refinery, a storage tank as shown in Figure 1 contains 2000 gal of gasoline that initially has 100 lb of an additive dissolved in it. Gasoline containing 2 lb of additive per gallon is pumped into the tank at a rate of 40 gal/min. The well-mixed solution is pumped out at the same rate. Determine the amount of the additive in the tank 20 min after the pumping process begins. 40 gal/min containing 2 lb/gal 40 gal/min containing lb/gal 2000 Figure 1 Let y be the amount (in pounds) of additive in the tank at time t. The differential equation modeling of the mixture process is given by dy dt = 80 y 50' y(0) = 100

(b) In an oil refinery, a storage tank as shown in Figure 1 contains 2000 gal of gasoline that initially has 100 lb of an additive dissolved in it. Gasoline containing 2 lb of additive per gallon is pumped into the tank at a rate of 40 gal/min. The well-mixed solution is pumped out at the same rate. Determine the amount of the additive in the tank 20 min after the pumping process begins. 40 gal/min containing 2 lb/gal 40 gal/min containing lb/gal 2000 Figure 1 Let y be the amount (in pounds) of additive in the tank at time t. The differential equation modeling of the mixture process is given by dy dt = 80 y 50' y(0) = 100

Advanced Engineering Mathematics
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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(b) In an oil refinery, a storage tank as shown in Figure 1 contains 2000 gal of gasoline that initially has 100 lb of an additive dissolved in it. Gasoline containing 2 lb of additive per gallon is pumped into the tank at a rate of 40 gal/min. The well-mixed solution is pumped out at the same rate. Determine the amount of the additive in the tank 20 min after the pumping process begins. 40 gal/min containing 2 lb/gal 40 gal/min containing lb/gal 2000 Figure 1 Hint: Let y be the amount (in pounds) of additive in the tank at time t. The differential equation modeling of the mixture process is given by dy dt = 80- y 50' y(0) = 100
Transcribed Image Text:(b) In an oil refinery, a storage tank as shown in Figure 1 contains 2000 gal of gasoline that initially has 100 lb of an additive dissolved in it. Gasoline containing 2 lb of additive per gallon is pumped into the tank at a rate of 40 gal/min. The well-mixed solution is pumped out at the same rate. Determine the amount of the additive in the tank 20 min after the pumping process begins. 40 gal/min containing 2 lb/gal 40 gal/min containing lb/gal 2000 Figure 1 Hint: Let y be the amount (in pounds) of additive in the tank at time t. The differential equation modeling of the mixture process is given by dy dt = 80- y 50' y(0) = 100
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