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t = 0, distilled water is admitted to the tank at the rate of 5 gallons per minute, and the well-stirred solution is withdrawn at the same rate, as shown in the figure. 5 gal/min 5 gal/min (a) Find the amount Q of the concentrate in the solution as a function of t. (Enter your solution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
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t = 0, distilled water is admitted to the tank at the rate of 5 gallons per minute, and the well-stirred solution is withdrawn at the same rate, as shown in the figure. 5 gal/min 5 gal/min (a) Find the amount Q of the concentrate in the solution as a function of t. (Enter your solution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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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