A 100-gallon tank is full of a solution containing 23 pounds of a concentrate. Starting at time t = 0, distilled water is admitted to the tank at the rate of 5 gallons per minute, and the well-stirred solution is withdrawn at the same rate, as shown in the figure. 5 gal/min 5 gal/min (a) Find the amount Q of the concentrate in the solution as a function of t. (Enter your solution as an equation. Hint: Q' + Q/20 = 0) (b) Find the time t when the amount of concentrate in the tank reaches 18 pounds. (Round your answer to three decimal places.) min

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A 100-gallon tank is full of a solution containing 23 pounds of a concentrate. Starting at time t = 0, distilled water is admitted to the tank at the rate of 5 gallons per minute, and the well-stirred
solution is withdrawn at the same rate, as shown in the figure.
5 gal/min
(a) Find the amount Q of the concentrate in the solution as a function of t. (Enter your solution as an equation. Hint: Q' + Q/20 = 0)
(b) Find the time t when the amount of concentrate in the tank reaches 18 pounds. (Round your answer to three decimal places.)
min
t =
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5 gal/min
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Transcribed Image Text:A 100-gallon tank is full of a solution containing 23 pounds of a concentrate. Starting at time t = 0, distilled water is admitted to the tank at the rate of 5 gallons per minute, and the well-stirred solution is withdrawn at the same rate, as shown in the figure. 5 gal/min (a) Find the amount Q of the concentrate in the solution as a function of t. (Enter your solution as an equation. Hint: Q' + Q/20 = 0) (b) Find the time t when the amount of concentrate in the tank reaches 18 pounds. (Round your answer to three decimal places.) min t = Need Help? 5 gal/min Read It Watch It
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