GATE CE 2020 Set 2 — Question 26
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Environmental Engineering → Wastewater Treatment Processes → BOD Kinetics
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Question
The relationship between oxygen consumption and equivalent biodegradable organic removal (i.e., BOD) in a closed container with respect to time is shown in the figure
Assume that the rate of oxygen consumption is directly proportional to the amount of degradable organic matter and is expressed as , where, (in mg/litre) is the oxygen equivalent of the organics remaining at time and (in ) is the degradation rate constant. is the oxygen equivalent of organic matter at time, .In the above context, the correct expression is
Correct answer
(B) BODₜ = L₀ - Lₜ
Solution
The amount of oxygen consumed up to time (BOD exerted, ) is equal to the initial ultimate BOD () minus the amount of biodegradable organic matter remaining at time (). From the first-order kinetics given, . Therefore, . Option (B) correctly states the fundamental relationship .
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