- 11 A An Initially Clean Pond That Contains 10 000 M3 Of Water Maintains A Constant Volume The Stream Flows In At A Ra 1 (74.97 KiB) Viewed 34 times
this is all one problem
11. a. An initially clean pond that contains 10,000 m3 of water maintains a constant volume. The stream flows in at a rate of 200 m3/day with 10 ug/m3 of phosphate (from fertilizer) in the stream. The pond is well-mixed, and a stream flows out at the same rate. Write a differential equation that describes the concentration of phosphate c(t) in the lake, then solve this equation. b. Algae grows well on phosphate. The rate of growth of algae is proportional to the concentration of phosphate and the population of algae A(t) to the 2/3 power, dA = 0.05 c(t)A2/3, A(0) = 1000. dt Find the population of algae at any time t.