Consider a 5000L lake fed with fresh, clean water where both input and output flow rate is 100L/hr. At time t=0, a pollutant was dropped in the lake resulting a pollutant concentration of 50mg/L. (a) Determine what will be the pollutant concentration in the lake after 5,10,20,50 and 100 hours. Consider the pollutant to be conservative. (b) Plot time vs Concentration and predict the mathematical behavior. (C) Now consider the pollutant to be non conservative with a half life of 10 hours. Determine what will be the pollutant concentration in the lake after 5,10,20,50 and 100 hours. Plot CvT on the same plot as (b) and see the difference between (b) and (c). Consider a 5000L lake fed with fresh, clean water where both input and output flow rate is 100L/hr. At time t=0, a pollutant was dropped in the lake resulting a pollutant concentration of 50mg/L. (a) Determine what will be the pollutant concentration in the lake after 5,10,20,50 and 100 hours. Consider the pollutant to be conservative. (b) Plot time vs Concentration and predict the mathematical behavior. (C) Now consider the pollutant to be non conservative with a half life of 10 hours. Determine what will be the pollutant concentration in the lake after 5,10,20,50 and 100 hours. Plot CvT on the same plot as (b) and see the difference between (b) and (c)