A lake is fed by a polluted stream and a sewage outfall. The stream and sewage wastes have a decay rate coefficient (k) of 0.5/day (1st order units). Assuming complete mixing and no other water losses or gains, what is the steady-state pollutant concentration as mg/L in the lake? Incoming Stream: C = 10 mg/L, Q = 40 m^3/s Sewage Outfall: C = 100 ppm, Q = 0.5 m^3/s Lake: V= 200 m^3

Solution :

Given :

k = 0.5 per day

Volume, V

Now, input rate = output rate + KCV ------------- (1)

Input rate  

The output rate

                          = ( 40 + 0.5 ) x C x 1000

Decay rate = KCV

∴

            = 1.16 C mg/s

Substituting all values in (1)

C = 4.93 mg/L

answer:

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answer:

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