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A swimming pool whose volume is 10,000 gal contains water that is 0.03% chlorine. Starting at t=0, city water containing 0.002% chlorine is pumped into the pool at a rate of 5 gal/min. The pool water flows out at the same rate. What is the percentage of chlorine in the pool after 1 hour? When will the pool water be 0.004% chlorine?

A swimming pool whose volume is 10,000 gal contains water that is 0.03% chlorine. Starting at t=0, city water containing 0.002% chlorine is pumped into the pool at a rate of 5 gal/min. The pool water flows out at the same rate. What is the percentage of chlorine in the pool after 1 hour? When will the pool water be 0.004% chlorine?

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 swimming pool whose volume is 10,000 gal contains water that is 0.03% chlorine. Starting at t = 0, city water containing 0.002% chlorine is pumped into the pool at a rate of 5 gal/min. The pool water flows out at the same rate. What is the percentage of chlorine in the pool after 1 hour? When will the pool water be 0.004% chlorine?
Transcribed Image Text:A swimming pool whose volume is 10,000 gal contains water that is 0.03% chlorine. Starting at t = 0, city water containing 0.002% chlorine is pumped into the pool at a rate of 5 gal/min. The pool water flows out at the same rate. What is the percentage of chlorine in the pool after 1 hour? When will the pool water be 0.004% chlorine?
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