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A lake shown below is fed by a creek with a flow and phosphorus concentration shown in the diagram. There is a small wastewater treatment plant which discharges a typical 4gP/m3 into the lake at the 200m3/d wastewater flow rate. There is a creek that drains the lake as shown. The removal mechanism for phosphorus is settling of the dead algae which contain the phosphorus, k= 12m/yr. It can be assumed that the algal growth will increase until the soluble phosphorus is taken up by the algae and incorporated into their cell material. Consider the lake as complete mix. a) Determine the concentration of phosphorus in the lake and in the creek leading out from the lake, gP/m3 b) To control the algae, the residents around the lake have determined that the phosphorus in the wastewater discharge must be reduced. Determine the concentration in the wastewater, gP/m3, so that the lake and outflow creek concentrations do not exceed 0.015gP/m3 A lake shown below is fed by a creek with a flow and phosphorus concentration shown in the diagram. There is a small wastewater treatment plant which discharges a typical 4gP/m3 into the lake at the 200m3/d wastewater flow rate. There is a creek that drains the lake as shown. The removal mechanism for phosphorus is settling of the dead algae which contain the phosphorus, k= 12m/yr. It can be assumed that the algal growth will increase until the soluble phosphorus is taken up by the algae and incorporated into their cell material. Consider the lake as complete mix. a) Determine the concentration of phosphorus in the lake and in the creek leading out from the lake, gP/m3 b) To control the algae, the residents around the lake have determined that the phosphorus in the wastewater discharge must be reduced. Determine the concentration in the wastewater, gP/m3, so that the lake and outflow creek concentrations do not exceed 0.015gP/m3

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