A large tank initially filled with 150 gal of fluid contains 10 lb of dissolved solute. Another solution containing 0.5 lb of solute per gallon is driven into the tank at 5 gpm where they are mixed well. The solution is then released at a rate of 4 gpm. Find the number of kilograms of the solute after 1/2 hour. Assume that the tank is very large that it is not affected by the rate of accumulation up to 1 hour.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A large tank initially filled with 150 gal of fluid contains 10 lb of dissolved solute. Another solution containing 0.5 lb of solute per gallon is driven into the tank at 5 gpm where they are mixed well. The solution is then released at a rate of 4 gpm. Find the number of kilograms of the solute after 1/2 hour. Assume that the tank is very large that it is not affected by the rate of accumulation up to 1 hour.

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