GATE CE 2017 Set 2 — Question 51
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Environmental Engineering → Wastewater Treatment Processes → BOD Kinetics
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Question
For a given water sample, the ratio between and the ultimate BOD is . The value of the reaction rate constant (on base ) (in , up to two decimal places) is _______________
Correct answer
0.22 to 0.24
Solution
The BOD at any time is given by the formula:
where:
is the ultimate BOD,
is the reaction rate constant (base ),
is the time in days.Given:
Substituting the values into the formula:
Taking natural logarithm on both sides:
Rounding to two decimal places, .
where:
is the ultimate BOD,
is the reaction rate constant (base ),
is the time in days.Given:
Substituting the values into the formula:
Taking natural logarithm on both sides:
Rounding to two decimal places, .
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