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A tank like the one pictured above has a capacity of 900 gallons. Initially, the tank contains 20 pounds of sugar dissolved in 100 gallons of water. At time = 0, a solution : containing 0.3 pounds of sugar per gallon flows into the tank at a rate of 6 gallons per minute, and the well-stirred mixture flows out of the tank at a rate of 4 gallons per minute. 1. How much time will elapse before the tank is filled to capacity? Answer: minutes 2. What is the sugar concentration in the tank when it contains 250 gallons of solution? Answer: ☐ pounds per gallon 3. What is the sugar concentration in the tank at the instant the tank is filled to capacity? Answer: ☐ pounds per gallon

A tank like the one pictured above has a capacity of 900 gallons. Initially, the tank contains 20 pounds of sugar dissolved in 100 gallons of water. At time = 0, a solution : containing 0.3 pounds of sugar per gallon flows into the tank at a rate of 6 gallons per minute, and the well-stirred mixture flows out of the tank at a rate of 4 gallons per minute. 1. How much time will elapse before the tank is filled to capacity? Answer: minutes 2. What is the sugar concentration in the tank when it contains 250 gallons of solution? Answer: ☐ pounds per gallon 3. What is the sugar concentration in the tank at the instant the tank is filled to capacity? Answer: ☐ pounds per gallon

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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A tank like the one pictured above has a capacity of 900 gallons. Initially, the tank contains 20 pounds of sugar dissolved in 100 gallons of water. At time = 0, a solution : containing 0.3 pounds of sugar per gallon flows into the tank at a rate of 6 gallons per minute, and the well-stirred mixture flows out of the tank at a rate of 4 gallons per minute. 1. How much time will elapse before the tank is filled to capacity? Answer: minutes 2. What is the sugar concentration in the tank when it contains 250 gallons of solution? Answer: ☐ pounds per gallon 3. What is the sugar concentration in the tank at the instant the tank is filled to capacity? Answer: ☐ pounds per gallon
Transcribed Image Text:A tank like the one pictured above has a capacity of 900 gallons. Initially, the tank contains 20 pounds of sugar dissolved in 100 gallons of water. At time = 0, a solution : containing 0.3 pounds of sugar per gallon flows into the tank at a rate of 6 gallons per minute, and the well-stirred mixture flows out of the tank at a rate of 4 gallons per minute. 1. How much time will elapse before the tank is filled to capacity? Answer: minutes 2. What is the sugar concentration in the tank when it contains 250 gallons of solution? Answer: ☐ pounds per gallon 3. What is the sugar concentration in the tank at the instant the tank is filled to capacity? Answer: ☐ pounds per gallon
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