Ratio of BOD to Ultimate given 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%
✖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%
✖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%

✖Ratio of BOD to Ultimate BOD is the ratio of 5 days bod to ultimate bod.ⓘ Ratio of BOD to Ultimate given Oxygen Required in Aeration Tank [f]

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Formula

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Ratio of BOD to Ultimate given Oxygen Required in Aeration Tank

Formula

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

Example

`"4.002965"=("10m³/s"*("11.2mg/L"-"0.4mg/L"))/("2.5mg/d"+(1.42*"9.5m³/s"*"2mg/L"))`

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Ratio of BOD to Ultimate given Oxygen Required in Aeration Tank Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Ratio of BOD to Ultimate BOD - Ratio of BOD to Ultimate BOD is the ratio of 5 days bod to ultimate bod.
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.
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.
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)
Theoretical Oxygen Requirement: 2.5 Milligram per Day --> 2.89351851851852E-11 Kilogram per Second (Check conversion here)
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

f = (Q_s*(Q_i-Q_o))/(O₂+(1.42*Q_w*X^R)) --> (10*(0.0112-0.0004))/(2.89351851851852E-11+(1.42*9.5*0.002))

Evaluating ... ...

f = 4.00296515508427

STEP 3: Convert Result to Output's Unit

4.00296515508427 --> No Conversion Required

FINAL ANSWER

4.00296515508427 ≈ 4.002965 <-- Ratio of BOD to Ultimate BOD

(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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< 3 BOD to Ultimate BOD Calculators

Ratio of BOD to Ultimate given Oxygen Demand of Biomass

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

Ratio of BOD to Ultimate given Oxygen Required in Aeration Tank

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

Ratio of BOD to Ultimate BOD

Go Ratio of BOD to Ultimate BOD = BOD of 5 days at 20° C/Ultimate BOD

Ratio of BOD to Ultimate given Oxygen Required in Aeration Tank Formula

What is BOD ?

Biochemical oxygen demand is the amount of dissolved oxygen needed by aerobic biological organisms to break down organic material present in a given water sample at certain temperature over a specific time period.

How to Calculate Ratio of BOD to Ultimate given Oxygen Required in Aeration Tank?

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

How to calculate Ratio of BOD to Ultimate given Oxygen Required in Aeration Tank using this online calculator? To use this online calculator for Ratio of BOD to Ultimate given Oxygen Required in Aeration Tank, enter Sewage Discharge (Q_s), Influent BOD (Q_i), Effluent BOD (Q_o), Theoretical Oxygen Requirement (O₂), 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 Ratio of BOD to Ultimate given Oxygen Required in Aeration Tank calculation can be explained with given input values -> 4.002965 = (10*(0.0112-0.0004))/(2.89351851851852E-11+(1.42*9.5*0.002)).

FAQ

What is Ratio of BOD to Ultimate given Oxygen Required in Aeration Tank?

Ratio of BOD to Ultimate given Oxygen Required in Aeration Tank calculates ratio of BOD to ultimate BOD when we have prior information of other parameters used and is represented as f = (Q_s*(Q_i-Q_o))/(O₂+(1.42*Q_w*X^R)) or Ratio of BOD to Ultimate BOD = (Sewage Discharge*(Influent BOD-Effluent BOD))/(Theoretical Oxygen Requirement+(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, Theoretical oxygen requirement is the calculated amount of oxygen required to oxidize a compound to its final oxidation products, 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 Ratio of BOD to Ultimate given Oxygen Required in Aeration Tank?

Ratio of BOD to Ultimate given Oxygen Required in Aeration Tank calculates ratio of BOD to ultimate BOD when we have prior information of other parameters used is calculated using Ratio of BOD to Ultimate BOD = (Sewage Discharge*(Influent BOD-Effluent BOD))/(Theoretical Oxygen Requirement+(1.42*Volume of Wasted Sludge per day*MLSS in returned or wasted sludge)). To calculate Ratio of BOD to Ultimate given Oxygen Required in Aeration Tank, you need Sewage Discharge (Q_s), Influent BOD (Q_i), Effluent BOD (Q_o), Theoretical Oxygen Requirement (O₂), 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, Theoretical Oxygen Requirement, 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 Ratio of BOD to Ultimate BOD?

In this formula, Ratio of BOD to Ultimate BOD uses Sewage Discharge, Influent BOD, Effluent BOD, Theoretical Oxygen Requirement, Volume of Wasted Sludge per day & MLSS in returned or wasted sludge. We can use 2 other way(s) to calculate the same, which is/are as follows -

Ratio of BOD to Ultimate BOD = (Sewage Discharge*(Influent BOD-Effluent BOD))/(Theoretical Oxygen Requirement+(Oxygen demand of biomass*Volume of Wasted Sludge per day*MLSS in returned or wasted sludge))
Ratio of BOD to Ultimate BOD = BOD of 5 days at 20° C/Ultimate BOD

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