A tank contains 50 gallons of a solution composed of 90% water and 10% alcohol. A second solution containing 50% water and 50% alcohol is added to the tank at the rate of 4 gallons per minute. As the second solution is being added, the tank is being drained at a rate of 5 gallons per minute, as shown in Figure 6.21. Assuming the solution in the tank is stirred constantly, how much alcohol is in the tank after 10 minutes?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A tank contains 50 gallons of a solution composed of 90% water
and 10% alcohol. A second solution containing 50% water and
50% alcohol is added to the tank at the rate of 4 gallons per
minute. As the second solution is being added, the tank is being
drained at a rate of 5 gallons per minute, as shown in Figure
6.21. Assuming the solution in the tank is stirred constantly,
how much alcohol is in the tank after 10 minutes?
Transcribed Image Text:A tank contains 50 gallons of a solution composed of 90% water and 10% alcohol. A second solution containing 50% water and 50% alcohol is added to the tank at the rate of 4 gallons per minute. As the second solution is being added, the tank is being drained at a rate of 5 gallons per minute, as shown in Figure 6.21. Assuming the solution in the tank is stirred constantly, how much alcohol is in the tank after 10 minutes?
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