The flow rate and NaCl concentration of a river are 2 million gallon per day and

Question

The flow rate and NaCl concentration of a river are 2 million gallon per day and 32 ppm. A food processing plant produces and releases a saline solution at a rate of 85 gpm into the stream. The salts quickly become uniformly distrubuted in the stream. Downstream of the discharge point is fishing spot. Because the fish cannot tolerate the salt concetrations above 200 mg/L, the NaCl concentration of effluent must be limited. Calculate the maximum NaCl concentraton of effluent releasing into the stream in mg/L.

Explanation / Answer

V1 = 2*10^6 gal per day

C1 = 32 ppm

V2 = 85 g/min = 85*60*24 =122400 gpd

C2 = C2

C max

C1V1 + C2V2 = 200*(V1+V2)

(2*10^6)(32) + 122400 *Cmax = 200*(122400 +2*10^6)

Cmax = (200*(122400 +2*10^6) - (2*10^6)(32))/122400

Cmax = 2945.0980 ppm = 2945.0980 mg of NaCl /ml

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