Alake receives a pollutant from two input streams. A factory discharges the polluted water to the lake at a flow rate of 0.5 m /hour with a concentration of 520 mg/L. A hospital discharges their wastewater to the lake at a flow rate of 2.3 m/hour with a concentration of 120 mg/L. The lake is well-mixed. The lake has one effluent stream at a flow rate of 2.8 m /hour. The lake has a volume of 1,600 m. The pollutant in the lake degrades biologically according to the first-order kinetics. The reaction rate constant, kis 0.24d-1. Assume that there was no pollutant in the lake initially. Draw a schematic diagram and label known values. (4 pts) a. b. Set up a mass balance for the pollutant. (3 pts) c. Find the steady-state concentration of the pollutant in the lake. (3 pts)