Question: 1. Consider a 10106m3 lake fed by a polluted stream having a flow rate of 10sm3 and pollutant concentration of 10lmg. There is also a

1. Consider a 10106m3 lake fed by a polluted stream having a flow rate of 10sm3 and pollutant concentration of 10lmg. There is also a sewage outfall that discharge 1sm3 of wastewater having a pollutant concentration of 100lmg. Pollutant is removed from the lake with two different processes.: the first one is a chemicallprocess with a rate law of r1= k1C2 and the second one is a biological process with r2=k2C where k1=0.25mg.d1 and k2=d0.3. As the condition of the lake is unacceptable, it is decided to completely divert the sewage outfall from the lake, eliminating it as a source of pollution. Assuming completemix conditions, A) (15pts) Find the steady state concentration of pollutant in the lake before diverting the sewage. B) (10 pts) Derive a differential equation for concentration changes with time (dtdc) after diverting the sewage. C) (10pts) Using online sources or software, plot concentration vs. time. D) (5pts) What is the new steady state concentration of pollutant after diverting the sewage

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