A pond initially contains 4,000,000 gal of water and an unknown amount of an undesirable chemical
Chapter 1, Section 1.1, Question 17ab
A pond initially contains 4,000,000 gal of water and an unknown amount of an undesirable chemical. Water containing 0.05 grams of this chemical per gallon flows into the pond at a rate of 100 gal/h.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.
(a) Write a differential equation for the amount of chemical in the pond at any time
Let q (t) denote the amount of chemical in the pond at time t. Use q as q (t)
Do not use thousands separator in the answer field.
(b) How much of the chemical will be in the pond after a very long time? Does this limiting amount depend on the amount that was present initially?
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A pond initially contains 4,000,000 gal of water and an unknown amount of an undesirable chemical
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