What is the advective flux of total Cr that is discharged into a river (assume n

Question

What is the advective flux of total Cr that is discharged into a river (assume no Cr in the river before the discharge) with a flow rate of 15 m3/s from two leather tanning facilities? The first facility discharges 100 L/s of wastewater contaminated with 1 mg Cr/L, while the second one discharges at a rate of 50 L/s and a concentration of 15 mgCr/L. Consider the cross-sectional area of the river is 20 m2 after all discharges. Calculate the flux at point characterized by the cross-sectional area.

HINT:

Explanation / Answer

Average velocity = Q (flow rate) / A (area) = 15 m3/s / 10 m2 = 1.5 m/s

So, C1 (from first facility) = 1 mg Cr/ L

C2 (from second facility) = 15 mg Cr/L

Thus, total concentration of Cr = 1 + 15 = 16 mg/L

Advective flux, J = C (concentration) * v (velocity)

= 16 mg/L * 1000 L/m3 * 1.5 m/s

= 24000 mg/m2.s

= 24 g/m2.s

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