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University Lake is a reservoir with a surface area of 8 acres and an average depth of 10 feet. Thevolume of the lakes is 222.2 acre-ft. University Lake receives water from stream inflow at a rateof 302 acre-ft/year with phosphorus (P) concentration of 0.045 mg P/L. Direct precipitation tothe lake totals 80 cm/year and has a phosphorus (P) concentration of 0.011 mg/L. Estimatedlake evaporation is 1888 m3/year. The stream outflow from the lake is 297 acre-ft/year. You canassume that the evaporation is pure water and carries no other chemicals with it. (There are1233.5 m3 in 1 acre-ft)2.Determine the average residence time of the lake in days.3.What is the surface area of the lake in meters squared?4.What is the concentration of phosphorus in the lake? (report in Âµg/L, assume that theconcentration associated with the out flow equals the concentration in the lake)5.How would increasing the stream inflow by 30% affect the concentration in the lakewater? (repeat number 4 but multiply the inflow by 1.3)6.How would increasing the outflow by 25% affect the concentration of the lake? (repeatnumber 4 but multiply the outflow by 1.25)