A small lake with volume 10,000 m3 has a stream flowing into it…

A small lake with volume 10,000 m3 has a stream flowing into it with flow rate 100 m3 /day and a Toluene concentration of 1.0 mg/m3 . A factory discharges 5 m3 /day into the lake with Toluene concentration of 10 mg/m3 – they want to increase effluent to 50 mg/m3 . Toluene decays at a rate of 0.01/day. Assume steady-state and completely mixed (CSTR).
a. How would this increase in discharge concentration change the lake concentration?
b. Field studies show that the same lake would be better represented by dividing the lake into two cells. The first cell having a volume of 2,500m3 and the second with 7,500m3 . How does this affect the estimate of concentration leaving the lake? Compare with one cell model.

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