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Your swimming pool containing 75000 gal of water has been contaminated by 5 kg o

ID: 1948106 • Letter: Y

Question

Your swimming pool containing 75000 gal of water has been contaminated by 5 kg of a nontoxic dye that leaves a swimmer's skin an unattractive green. The pool's filtering system can take water from the pool, remove the dye, and return water to the pool at a flow rate of 175 gal/min.

Find the time T at which the concentration of dye first reaches the value c0 = 0.015 g/gal

these are the possible choices:


T = 635.28 minutes


T = 639.28 minutes


T = 643.28 minutes


T = 641.28 minutes


T = 637.28 minutes

Explanation / Answer

T = 639.28 minutes this is the correct choice, SURE