1. The problem statement, all variables and given/known data A pond initially contains 1,000,000 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/hour. 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 dierential equation for the amount of the chemical at any time. 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? 2. Relevant equations 3. The attempt at a solution t (hours) y (grams) y(0) = y0 dy/dt = 3g/hr - (??) -- How do I determine the rate at which it's flowing out if I don't know the initial value?