A pond initially contains 1M gal of water and an unknown amount of an undesirable chemical. Water containing 0.01 gram of this chemical per gallon flows into the pond at a rate of 300 gal/hr. The mixture flows out at the same rate, so the amount of water in the pond remains constant. Assume that the chemical is uniformly distributed throughout the pond. How many days elapsed when the amount of chemical in the pond became 2,300 grams from an amount of 100 grams? 40.2 days O 34.9 days O 29.6 days O 38.7 days

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A pond initially contains 1M gal of water and an unknown amount of an undesirable chemical. Water containing 0.01 gram of this
chemical per gallon flows into the pond at a rate of 300 gal/hr. The mixture flows out at the same rate, so the amount of water in the
pond remains constant. Assume that the chemical is uniformly distributed throughout the pond. How many days elapsed when the
amount of chemical in the pond became 2,300 grams from an amount of 100 grams?
40.2 days
O 34.9 days
O 29.6 days
38.7 days
Transcribed Image Text:A pond initially contains 1M gal of water and an unknown amount of an undesirable chemical. Water containing 0.01 gram of this chemical per gallon flows into the pond at a rate of 300 gal/hr. The mixture flows out at the same rate, so the amount of water in the pond remains constant. Assume that the chemical is uniformly distributed throughout the pond. How many days elapsed when the amount of chemical in the pond became 2,300 grams from an amount of 100 grams? 40.2 days O 34.9 days O 29.6 days 38.7 days
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