What is the steady-state concentration of DO?

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Water with a dissolved oxygen (DO) concentration of 0.94 mg/L enters a well-mixed tank
at a rate of 1500 L/min. The tank volume is 280 m3. In the tank, bacteria consume the oxygen for metabolism proportionally to the amount of oxygen present (if they use it at a rate r = k1 · DO, where k1 = 0.0021 min−1). Oxygen is dissolving into the water at a rate proportional to the degree of undersaturation (i.e., at a rate given by r = k2(DOsat − DO), where k2 = 0.0021 min−1 and DOsat = 8.5 mg/L. What is the steady-state concentration of
DO?


Answer in units of mg/L.

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