Oxygen Required in Aeration Tank Calculator

✖Sewage discharge is the flow rate of sewage when it is being discharged in the river.ⓘ Sewage Discharge [Q_s]			+10% -10%
✖Influent BOD is the total amount of BOD which is present in the incoming sewage.ⓘ Influent BOD [Q_i]			+10% -10%
✖Effluent BOD is the amount of BOD present in the outing sewage.ⓘ Effluent BOD [Q_o]			+10% -10%
✖Ratio of BOD to Ultimate BOD is the ratio of 5 days bod to ultimate bod.ⓘ Ratio of BOD to Ultimate BOD [f]			+10% -10%
✖Volume of wasted sludge per day is measured in terms of discharge.ⓘ Volume of Wasted Sludge per day [Q_w]			+10% -10%
✖MLSS in returned or wasted sludge is the mixed liquor suspended solids in returned sludge in terms of mg per litre.ⓘ MLSS in returned or wasted sludge [X^R]			+10% -10%

✖Theoretical oxygen requirement is the calculated amount of oxygen required to oxidize a compound to its final oxidation products.ⓘ Oxygen Required in Aeration Tank [O₂]

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Formula

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Oxygen Required in Aeration Tank

Formula

`"O"_{"2"} = (("Q"_{"s"}*("Q"_{"i"}-"Q"_{"o"}))/"f")-(1.42*"Q"_{"w"}*"X"^{"R"})`

Example

`"0.04052mg/d"=(("10m³/s"*("11.2mg/L"-"0.4mg/L"))/"1.6")-(1.42*"9.5m³/s"*"2mg/L")`

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Oxygen Required in Aeration Tank Solution

STEP 0: Pre-Calculation Summary

Formula Used

Theoretical Oxygen Requirement = ((Sewage Discharge*(Influent BOD-Effluent BOD))/Ratio of BOD to Ultimate BOD)-(1.42*Volume of Wasted Sludge per day*MLSS in returned or wasted sludge)
O₂ = ((Q_s*(Q_i-Q_o))/f)-(1.42*Q_w*X^R)
This formula uses 7 Variables

Variables Used

Theoretical Oxygen Requirement - (Measured in Milligram per Day) - Theoretical oxygen requirement is the calculated amount of oxygen required to oxidize a compound to its final oxidation products.
Sewage Discharge - (Measured in Cubic Meter per Second) - Sewage discharge is the flow rate of sewage when it is being discharged in the river.
Influent BOD - (Measured in Kilogram per Cubic Meter) - Influent BOD is the total amount of BOD which is present in the incoming sewage.
Effluent BOD - (Measured in Kilogram per Cubic Meter) - Effluent BOD is the amount of BOD present in the outing sewage.
Ratio of BOD to Ultimate BOD - Ratio of BOD to Ultimate BOD is the ratio of 5 days bod to ultimate bod.
Volume of Wasted Sludge per day - (Measured in Cubic Meter per Second) - Volume of wasted sludge per day is measured in terms of discharge.
MLSS in returned or wasted sludge - (Measured in Kilogram per Cubic Meter) - MLSS in returned or wasted sludge is the mixed liquor suspended solids in returned sludge in terms of mg per litre.

STEP 1: Convert Input(s) to Base Unit

Sewage Discharge: 10 Cubic Meter per Second --> 10 Cubic Meter per Second No Conversion Required
Influent BOD: 11.2 Milligram per Liter --> 0.0112 Kilogram per Cubic Meter (Check conversion here)
Effluent BOD: 0.4 Milligram per Liter --> 0.0004 Kilogram per Cubic Meter (Check conversion here)
Ratio of BOD to Ultimate BOD: 1.6 --> No Conversion Required
Volume of Wasted Sludge per day: 9.5 Cubic Meter per Second --> 9.5 Cubic Meter per Second No Conversion Required
MLSS in returned or wasted sludge: 2 Milligram per Liter --> 0.002 Kilogram per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

O₂ = ((Q_s*(Q_i-Q_o))/f)-(1.42*Q_w*X^R) --> ((10*(0.0112-0.0004))/1.6)-(1.42*9.5*0.002)

Evaluating ... ...

O₂ = 0.04052

STEP 3: Convert Result to Output's Unit

4.68981481481482E-13 Kilogram per Second -->0.04052 Milligram per Day (Check conversion here)

FINAL ANSWER

0.04052 Milligram per Day <-- Theoretical Oxygen Requirement

(Calculation completed in 00.004 seconds)

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Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2200+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< 4 Oxygen Required in Aeration Tank Calculators

Oxygen Required in Aeration Tank given Oxygen Demand and Ultimate BOD

Go Theoretical Oxygen Requirement = ((Sewage Discharge*(Influent BOD-Effluent BOD))/(5 days BOD/Ultimate BOD))-(Oxygen demand of biomass*Volume of Wasted Sludge per day*MLSS in returned or wasted sludge)

Oxygen Required in Aeration Tank given Oxygen Demand of Biomass

Go Theoretical Oxygen Requirement = ((Sewage Discharge*(Influent BOD-Effluent BOD))/Ratio of BOD to Ultimate BOD)-(Oxygen demand of biomass*Volume of Wasted Sludge per day*MLSS in returned or wasted sludge)

Oxygen Required in Aeration Tank given Ultimate BOD

Go Theoretical Oxygen Requirement = ((Sewage Discharge*(Influent BOD-Effluent BOD))/(5 days BOD/Ultimate BOD))-(1.42*Volume of Wasted Sludge per day*MLSS in returned or wasted sludge)

Oxygen Required in Aeration Tank

Go Theoretical Oxygen Requirement = ((Sewage Discharge*(Influent BOD-Effluent BOD))/Ratio of BOD to Ultimate BOD)-(1.42*Volume of Wasted Sludge per day*MLSS in returned or wasted sludge)

Oxygen Required in Aeration Tank Formula

What is aeration tank ?

Aeration tank where air (or oxygen) is injected in the mixed liquor. Settling tank (usually referred to as "final clarifier" or "secondary settling tank") to allow the biological flocs (the sludge blanket) to settle, thus separating the biological sludge from the clear treated water.

How to Calculate Oxygen Required in Aeration Tank?

Oxygen Required in Aeration Tank calculator uses Theoretical Oxygen Requirement = ((Sewage Discharge*(Influent BOD-Effluent BOD))/Ratio of BOD to Ultimate BOD)-(1.42*Volume of Wasted Sludge per day*MLSS in returned or wasted sludge) to calculate the Theoretical Oxygen Requirement, The Oxygen Required in Aeration Tank calculates the oxygen requirement in the aeration tank when we have prior information of other parameters used. Theoretical Oxygen Requirement is denoted by O₂ symbol.

How to calculate Oxygen Required in Aeration Tank using this online calculator? To use this online calculator for Oxygen Required in Aeration Tank, enter Sewage Discharge (Q_s), Influent BOD (Q_i), Effluent BOD (Q_o), Ratio of BOD to Ultimate BOD (f), Volume of Wasted Sludge per day (Q_w) & MLSS in returned or wasted sludge (X^R) and hit the calculate button. Here is how the Oxygen Required in Aeration Tank calculation can be explained with given input values -> 3.5E+9 = ((10*(0.0112-0.0004))/1.6)-(1.42*9.5*0.002).

FAQ

What is Oxygen Required in Aeration Tank?

The Oxygen Required in Aeration Tank calculates the oxygen requirement in the aeration tank when we have prior information of other parameters used and is represented as O₂ = ((Q_s*(Q_i-Q_o))/f)-(1.42*Q_w*X^R) or Theoretical Oxygen Requirement = ((Sewage Discharge*(Influent BOD-Effluent BOD))/Ratio of BOD to Ultimate BOD)-(1.42*Volume of Wasted Sludge per day*MLSS in returned or wasted sludge). Sewage discharge is the flow rate of sewage when it is being discharged in the river, Influent BOD is the total amount of BOD which is present in the incoming sewage, Effluent BOD is the amount of BOD present in the outing sewage, Ratio of BOD to Ultimate BOD is the ratio of 5 days bod to ultimate bod, Volume of wasted sludge per day is measured in terms of discharge & MLSS in returned or wasted sludge is the mixed liquor suspended solids in returned sludge in terms of mg per litre.

How to calculate Oxygen Required in Aeration Tank?

The Oxygen Required in Aeration Tank calculates the oxygen requirement in the aeration tank when we have prior information of other parameters used is calculated using Theoretical Oxygen Requirement = ((Sewage Discharge*(Influent BOD-Effluent BOD))/Ratio of BOD to Ultimate BOD)-(1.42*Volume of Wasted Sludge per day*MLSS in returned or wasted sludge). To calculate Oxygen Required in Aeration Tank, you need Sewage Discharge (Q_s), Influent BOD (Q_i), Effluent BOD (Q_o), Ratio of BOD to Ultimate BOD (f), Volume of Wasted Sludge per day (Q_w) & MLSS in returned or wasted sludge (X^R). With our tool, you need to enter the respective value for Sewage Discharge, Influent BOD, Effluent BOD, Ratio of BOD to Ultimate BOD, Volume of Wasted Sludge per day & MLSS in returned or wasted sludge and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Theoretical Oxygen Requirement?

In this formula, Theoretical Oxygen Requirement uses Sewage Discharge, Influent BOD, Effluent BOD, Ratio of BOD to Ultimate BOD, Volume of Wasted Sludge per day & MLSS in returned or wasted sludge. We can use 3 other way(s) to calculate the same, which is/are as follows -

Theoretical Oxygen Requirement = ((Sewage Discharge*(Influent BOD-Effluent BOD))/Ratio of BOD to Ultimate BOD)-(Oxygen demand of biomass*Volume of Wasted Sludge per day*MLSS in returned or wasted sludge)
Theoretical Oxygen Requirement = ((Sewage Discharge*(Influent BOD-Effluent BOD))/(5 days BOD/Ultimate BOD))-(1.42*Volume of Wasted Sludge per day*MLSS in returned or wasted sludge)
Theoretical Oxygen Requirement = ((Sewage Discharge*(Influent BOD-Effluent BOD))/(5 days BOD/Ultimate BOD))-(Oxygen demand of biomass*Volume of Wasted Sludge per day*MLSS in returned or wasted sludge)

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