Conversion Factor given Theoretical Oxygen Requirement Calculator

✖Average daily influent flow rate is the total discharge that comes in the reactor.ⓘ Average daily influent flow rate [Q]			+10% -10%
✖Influent Substrate Concentration is the concentration of BOD that is present in the influent.ⓘ Influent Substrate Concentration [S_o]			+10% -10%
✖Effluent substrate concentration is the concentration of the BOD present in the effluent.ⓘ Effluent substrate concentration [S]			+10% -10%
✖Theoretical oxygen requirement is the calculated amount of oxygen required to oxidize a compound to its final oxidation products.ⓘ Theoretical Oxygen Requirement [O₂]			+10% -10%
✖Net waste activated sludge is the amount of waste product that can be treated using the activated sludge process.ⓘ Net waste activated sludge [P_x]			+10% -10%

✖BOD conversion factor is the value that is multiplied in the 5 days BOD to get the value of ultimate BOD.ⓘ Conversion Factor given Theoretical Oxygen Requirement [f]

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Formula

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Conversion Factor given Theoretical Oxygen Requirement

Formula

`"f" = (8.34*"Q"*("S"_{"o"}-"S"))/("O"_{"2"}+(1.42*"P"_{"x"}))`

Example

`"3238.835"=(8.34*"1.2m³/d"*("25mg/L"-"15mg/L"))/("2.5mg/d"+(1.42*"20mg/d"))`

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Conversion Factor given Theoretical Oxygen Requirement Solution

STEP 0: Pre-Calculation Summary

Formula Used

BOD conversion factor = (8.34*Average daily influent flow rate*(Influent Substrate Concentration-Effluent substrate concentration))/(Theoretical Oxygen Requirement+(1.42*Net waste activated sludge))
f = (8.34*Q*(S_o-S))/(O₂+(1.42*P_x))
This formula uses 6 Variables

Variables Used

BOD conversion factor - BOD conversion factor is the value that is multiplied in the 5 days BOD to get the value of ultimate BOD.
Average daily influent flow rate - (Measured in Cubic Meter per Second) - Average daily influent flow rate is the total discharge that comes in the reactor.
Influent Substrate Concentration - (Measured in Kilogram per Cubic Meter) - Influent Substrate Concentration is the concentration of BOD that is present in the influent.
Effluent substrate concentration - (Measured in Kilogram per Cubic Meter) - Effluent substrate concentration is the concentration of the BOD present in the effluent.
Theoretical Oxygen Requirement - (Measured in Kilogram per Second) - Theoretical oxygen requirement is the calculated amount of oxygen required to oxidize a compound to its final oxidation products.
Net waste activated sludge - (Measured in Kilogram per Second) - Net waste activated sludge is the amount of waste product that can be treated using the activated sludge process.

STEP 1: Convert Input(s) to Base Unit

Average daily influent flow rate: 1.2 Cubic Meter per Day --> 1.38888888888889E-05 Cubic Meter per Second (Check conversion here)
Influent Substrate Concentration: 25 Milligram per Liter --> 0.025 Kilogram per Cubic Meter (Check conversion here)
Effluent substrate concentration: 15 Milligram per Liter --> 0.015 Kilogram per Cubic Meter (Check conversion here)
Theoretical Oxygen Requirement: 2.5 Milligram per Day --> 2.89351851851852E-11 Kilogram per Second (Check conversion here)
Net waste activated sludge: 20 Milligram per Day --> 2.31481481481481E-10 Kilogram per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f = (8.34*Q*(S_o-S))/(O₂+(1.42*P_x)) --> (8.34*1.38888888888889E-05*(0.025-0.015))/(2.89351851851852E-11+(1.42*2.31481481481481E-10))

Evaluating ... ...

f = 3238.83495145632

STEP 3: Convert Result to Output's Unit

3238.83495145632 --> No Conversion Required

FINAL ANSWER

3238.83495145632 ≈ 3238.835 <-- BOD conversion factor

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Environmental Engineering » Design of a complete mix activated sludge reactor » Theoretical Oxygen Requirement » Conversion Factor given Theoretical Oxygen Requirement

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Created by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< 5 Theoretical Oxygen Requirement Calculators

Theoretical Oxygen requirements using Conversion Factor

Go Theoretical Oxygen Requirement = ((Average daily influent flow rate*(Influent Substrate Concentration-Effluent substrate concentration)*8.34)/BOD conversion factor)-(1.42*Net waste activated sludge)

Conversion Factor given Theoretical Oxygen Requirement

Go BOD conversion factor = (8.34*Average daily influent flow rate*(Influent Substrate Concentration-Effluent substrate concentration))/(Theoretical Oxygen Requirement+(1.42*Net waste activated sludge))

Theoretical Oxygen Requirement for removal of Carbonaceous Organic Matter

Go Theoretical Oxygen Requirement = Total BOD Utilized-(1.42*Mass of Organisms Wasted)

Total Mass of BOD Utilized given Theoretical Oxygen Requirement

Go Total BOD Utilized = Theoretical Oxygen Requirement+(1.42*Mass of Organisms Wasted)

Mass of Organisms Wasted given Theoretical Oxygen Requirement

Go Mass of Organisms Wasted = (Total BOD Utilized-Theoretical Oxygen Requirement)/1.42

Conversion Factor given Theoretical Oxygen Requirement Formula

What is theoretical oxygen requirement?

The theoretical oxygen requirement is the calculated amount of oxygen required to oxidize a compound to its final oxidation products.

How to Calculate Conversion Factor given Theoretical Oxygen Requirement?

Conversion Factor given Theoretical Oxygen Requirement calculator uses BOD conversion factor = (8.34*Average daily influent flow rate*(Influent Substrate Concentration-Effluent substrate concentration))/(Theoretical Oxygen Requirement+(1.42*Net waste activated sludge)) to calculate the BOD conversion factor, The Conversion Factor given Theoretical Oxygen Requirement is the value that is required to convert 5 days BOD to ultimate BOD. BOD conversion factor is denoted by f symbol.

How to calculate Conversion Factor given Theoretical Oxygen Requirement using this online calculator? To use this online calculator for Conversion Factor given Theoretical Oxygen Requirement, enter Average daily influent flow rate (Q), Influent Substrate Concentration (S_o), Effluent substrate concentration (S), Theoretical Oxygen Requirement (O₂) & Net waste activated sludge (P_x) and hit the calculate button. Here is how the Conversion Factor given Theoretical Oxygen Requirement calculation can be explained with given input values -> 3238.835 = (8.34*1.38888888888889E-05*(0.025-0.015))/(2.89351851851852E-11+(1.42*2.31481481481481E-10)).

FAQ

What is Conversion Factor given Theoretical Oxygen Requirement?

The Conversion Factor given Theoretical Oxygen Requirement is the value that is required to convert 5 days BOD to ultimate BOD and is represented as f = (8.34*Q*(S_o-S))/(O₂+(1.42*P_x)) or BOD conversion factor = (8.34*Average daily influent flow rate*(Influent Substrate Concentration-Effluent substrate concentration))/(Theoretical Oxygen Requirement+(1.42*Net waste activated sludge)). Average daily influent flow rate is the total discharge that comes in the reactor, Influent Substrate Concentration is the concentration of BOD that is present in the influent, Effluent substrate concentration is the concentration of the BOD present in the effluent, Theoretical oxygen requirement is the calculated amount of oxygen required to oxidize a compound to its final oxidation products & Net waste activated sludge is the amount of waste product that can be treated using the activated sludge process.

How to calculate Conversion Factor given Theoretical Oxygen Requirement?

The Conversion Factor given Theoretical Oxygen Requirement is the value that is required to convert 5 days BOD to ultimate BOD is calculated using BOD conversion factor = (8.34*Average daily influent flow rate*(Influent Substrate Concentration-Effluent substrate concentration))/(Theoretical Oxygen Requirement+(1.42*Net waste activated sludge)). To calculate Conversion Factor given Theoretical Oxygen Requirement, you need Average daily influent flow rate (Q), Influent Substrate Concentration (S_o), Effluent substrate concentration (S), Theoretical Oxygen Requirement (O₂) & Net waste activated sludge (P_x). With our tool, you need to enter the respective value for Average daily influent flow rate, Influent Substrate Concentration, Effluent substrate concentration, Theoretical Oxygen Requirement & Net waste activated sludge and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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