Question:
The ultimate BOD value of a waste
The ultimate BOD value of a waste
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Remember:
• Temperature affects the rate of BOD exertion.
• Ultimate BOD depends only on the biodegradable organic matter present.
• Therefore, Ultimate BOD is independent of temperature.
• Temperature affects the rate of BOD exertion.
• Ultimate BOD depends only on the biodegradable organic matter present.
• Therefore, Ultimate BOD is independent of temperature.
Updated On: Jul 23, 2026
- Increases with temperature
- Decreases with temperature
- Remains the same at all temperatures
- Doubles with every \(10^\circ\)C rise in temperature
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The Correct Option is C
Solution and Explanation
Concept:
Ultimate Biochemical Oxygen Demand (Ultimate BOD or \(L_0\)) is the total amount of oxygen required for the complete biological oxidation of biodegradable organic matter.
The rate of BOD reaction depends on temperature, but the ultimate BOD depends only on the amount of biodegradable organic matter present.
\[
\boxed{
L_t=L_0\left(1-e^{-kt}\right)
}
\]
where
\[
L_0=\text{Ultimate BOD},
\]
\[
k=\text{Reaction rate constant}.
\]
Step 1: Understand the effect of temperature. Increasing temperature increases the reaction rate constant \(k\), causing the oxidation process to occur more rapidly. However, it does not change the total oxygen required for complete oxidation.
Step 2: Determine the ultimate BOD. Since the total biodegradable matter remains unchanged, \[ \boxed{\text{Ultimate BOD remains the same at all temperatures}.} \] Therefore, the correct option is \[ \boxed{(C)\;\text{Remains the same at all temperatures}.} \]
Step 1: Understand the effect of temperature. Increasing temperature increases the reaction rate constant \(k\), causing the oxidation process to occur more rapidly. However, it does not change the total oxygen required for complete oxidation.
Step 2: Determine the ultimate BOD. Since the total biodegradable matter remains unchanged, \[ \boxed{\text{Ultimate BOD remains the same at all temperatures}.} \] Therefore, the correct option is \[ \boxed{(C)\;\text{Remains the same at all temperatures}.} \]
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