- 4 A An Initially Clean Lake C 0 0 Concentrates Pollution From An Incoming Stream Because Of Evaporative Loss Of 1 (88.06 KiB) Viewed 27 times
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= 4. a. An initially clean lake (c(0) = 0) concentrates pollution from an incoming stream because of evaporative loss of water of 200 m3/day. The well-mixed lake has a stream flowing in at a rate of f1 = 2200 m3/day with a pesticide concentration of of Q = 10 ppb. The lake maintains a constant volume of V = 106 m² by having a stream leaving with a flow of f2 = 2000 mº/day. Find the differential equation describing the concentration of pesticide in the lake. Solve this differential equation. b. Determine how long until the lake has a concentration of 5 ppb of pesticide. Also, find the limiting concentration of pesticide. Sketch a graph of the solution.