Question 3 (35 pts) Consider a lake with a volume of 1x107m that is fed by a stream with a flow rate of 5 m/sec. The stream contains a pollutant A at a concentration of 10 mg/L. There is an industrial plant that discharges into the lake a treated wastewater at a rate of 0.5 m/sec, which contains the pollutant A at a concentration of 100 mg/L. Assuming the lake is completely mixed and assuming no evaporation or other losses or gains. a) Find the flow rate of the outfall from the lake to maintain the water level in the lake at steady-state. b) Find the steady-state concentration of the pollutant A in the lake assuming that the pollutant does not react (conservative). c) Find the steady-state concentration of the pollutant A in the lake assuming that the pollutant reacts with a rate constant of 0.20 day