The Bear Creek/Bear Lake subwatershed is a part of the Muskegon Lake Area of Concern (AOC). Bear Lake appears on the Michigan Section list of impaired water bodies for excess algal growth and elevated total phosphorus concentrations. The lake has an area of 4047m2, a mean depth of 4.4m and an average hydraulic retention time of 2 yrs. The ratio of particulate to total phosphorous concentration is 0.7, and the mean particle settling velocity is 0.1 m d-1. Assume that the flow-weighted average inflow concentration of total phosphorous to the lake is 44 ug/L. Estimate the average annual total phosphorous concentration in the lake. (8 pts) What is the fraction of total removed phosphorous? (5 pts) Sketch a plot of the fraction of total phosphorous remaining in the lake as function of the dimensionless number kst. (7 pts)