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Oxygen Required in Aeration Tank given Oxygen Demand of Biomass Formula

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GoOxygen Required in Aeration Tank Formula

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Oxygen Required in Aeration Tank is the amount of oxygen needed to sustain the aerobic microbial activity that breaks down organic matter in the wastewater. Check FAQs

O a = (\frac{Q s \cdot (Q i - Q)}{f}) - (D O2 \cdot Q w \cdot X R)

O_a - Oxygen Required in Aeration Tank?Q_s - Sewage Discharge?Q_i - Influent BOD?Q - Effluent BOD?f - Ratio of BOD to Ultimate BOD?D^O2 - Oxygen Demand of Biomass?Q_w - Volume of Wasted Sludge per day?X^R - MLSS in Returned or Wasted Sludge?

Oxygen Required in Aeration Tank given Oxygen Demand of Biomass Example

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Here is how the Oxygen Required in Aeration Tank given Oxygen Demand of Biomass equation looks like with Values.

Here is how the Oxygen Required in Aeration Tank given Oxygen Demand of Biomass equation looks like with Units.

Here is how the Oxygen Required in Aeration Tank given Oxygen Demand of Biomass equation looks like.

0.0158 = (\frac{10 \cdot (13.2 - 0.4)}{3}) - (2.02 \cdot 9.5 \cdot 1.4)

0.0158mg/d = (\frac{10m³/s \cdot (13.2mg/L - 0.4mg/L)}{3}) - (2.02 \cdot 9.5m³/s \cdot 1.4mg/L)

0.0158 = (\frac{10 \cdot (13.2 - 0.4)}{3}) - (2.02 \cdot 9.5 \cdot 1.4)

Tip: Use pencil () icon above to edit Input Values and Units.

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Oxygen Required in Aeration Tank given Oxygen Demand of Biomass Solution

Follow our step by step solution on how to calculate Oxygen Required in Aeration Tank given Oxygen Demand of Biomass?

FIRST Step Consider the formula

O a = (\frac{Q s \cdot (Q i - Q)}{f}) - (D O2 \cdot Q w \cdot X R)

Next Step Substitute values of Variables

∴

O a = (\frac{10m³/s \cdot (13.2mg/L - 0.4mg/L)}{3}) - (2.02 \cdot 9.5m³/s \cdot 1.4mg/L)

Next Step Convert Units

∴

O a = (\frac{10m³/s \cdot (0.0132kg/m³ - 0.0004kg/m³)}{3}) - (2.02 \cdot 9.5m³/s \cdot 0.0014kg/m³)

Next Step Prepare to Evaluate

∴

O a = (\frac{10 \cdot (0.0132 - 0.0004)}{3}) - (2.02 \cdot 9.5 \cdot 0.0014)

Next Step Evaluate

∴

O a = 1.82878086419753E-13kg/s

Next Step Convert to Output's Unit

∴

O a = 0.0158006666666667mg/d

LAST Step Rounding Answer

∴

O a = 0.0158mg/d

Oxygen Required in Aeration Tank given Oxygen Demand of Biomass Formula Elements

Variables

Oxygen Required in Aeration Tank

Oxygen Required in Aeration Tank is the amount of oxygen needed to sustain the aerobic microbial activity that breaks down organic matter in the wastewater.

Symbol: O_a

Measurement: Mass Flow RateUnit: mg/d

Note: Value should be greater than 0.

Sewage Discharge

Sewage Discharge is the flow rate of sewage when it is being discharged in the river.

Symbol: Q_s

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Influent BOD

Influent BOD is the total amount of BOD which is present in the incoming sewage.

Symbol: Q_i

Measurement: DensityUnit: mg/L

Note: Value should be greater than 0.

Effluent BOD

Effluent BOD is the amount of BOD present in the outing sewage.

Symbol: Q

Measurement: DensityUnit: mg/L

Note: Value should be greater than 0.

Ratio of BOD to Ultimate BOD

Ratio of BOD to Ultimate BOD is the ratio of 5 days bod to ultimate bod.

Symbol: f

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Oxygen Demand of Biomass

Oxygen Demand of Biomass is the amount of oxygen required by the microorganisms to decompose organic matter present in biomass.

Symbol: D^O2

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Volume of Wasted Sludge per day

Volume of Wasted Sludge per day is the amount of sludge that is removed or wasted from a wastewater treatment process on a daily basis.

Symbol: Q_w

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

MLSS in Returned or Wasted Sludge

MLSS in Returned or Wasted Sludge is the mixed liquor suspended solids in returned sludge in terms of mg per liter.

Symbol: X^R

Measurement: DensityUnit: mg/L

Note: Value should be greater than 0.

Credits

Creator Image

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Formula and 2100+ more formulas!

Verifier Image

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Formula and 2600+ more formulas!

Other Formulas to find Oxygen Required in Aeration Tank

Go Oxygen Required in Aeration Tank

O a = (\frac{Q s \cdot (Q i - Q)}{f}) - (1.42 \cdot Q w \cdot X R)

Other formulas in Oxygen Required in Aeration Tank category

Go Oxygen Required in Aeration Tank given Ultimate BOD

O r = (\frac{Q s \cdot (Q i - Q)}{\frac{BOD5}{BOD u}}) - (1.42 \cdot Q w \cdot X R)

Go Oxygen Required in Aeration Tank given Oxygen Demand and Ultimate BOD

O r = (\frac{Q s \cdot (Q i - Q)}{\frac{BOD5}{BOD u}}) - (D O2 \cdot Q w \cdot X R)

How to Evaluate Oxygen Required in Aeration Tank given Oxygen Demand of Biomass?

Oxygen Required in Aeration Tank given Oxygen Demand of Biomass evaluator uses Oxygen Required in Aeration Tank = ((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) to evaluate the Oxygen Required in Aeration Tank, The Oxygen Required in Aeration Tank given Oxygen Demand of Biomass formula is defined as the calculation of oxygen requirement in aeration tank when we have prior information of oxygen demand of biomass. Oxygen Required in Aeration Tank is denoted by O_a symbol.

How to evaluate Oxygen Required in Aeration Tank given Oxygen Demand of Biomass using this online evaluator? To use this online evaluator for Oxygen Required in Aeration Tank given Oxygen Demand of Biomass, enter Sewage Discharge (Q_s), Influent BOD (Q_i), Effluent BOD (Q), Ratio of BOD to Ultimate BOD (f), Oxygen Demand of Biomass (D^O2), Volume of Wasted Sludge per day (Q_w) & MLSS in Returned or Wasted Sludge (X^R) and hit the calculate button.

FAQs on Oxygen Required in Aeration Tank given Oxygen Demand of Biomass

What is the formula to find Oxygen Required in Aeration Tank given Oxygen Demand of Biomass?

The formula of Oxygen Required in Aeration Tank given Oxygen Demand of Biomass is expressed as Oxygen Required in Aeration Tank = ((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). Here is an example- 1.4E+9 = ((10*(0.0132-0.0004))/3)-(2.02*9.5*0.0014).

How to calculate Oxygen Required in Aeration Tank given Oxygen Demand of Biomass?

With Sewage Discharge (Q_s), Influent BOD (Q_i), Effluent BOD (Q), Ratio of BOD to Ultimate BOD (f), Oxygen Demand of Biomass (D^O2), Volume of Wasted Sludge per day (Q_w) & MLSS in Returned or Wasted Sludge (X^R) we can find Oxygen Required in Aeration Tank given Oxygen Demand of Biomass using the formula - Oxygen Required in Aeration Tank = ((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).

What are the other ways to Calculate Oxygen Required in Aeration Tank?

Here are the different ways to Calculate Oxygen Required in Aeration Tank-

Oxygen Required in Aeration Tank=((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)

Can the Oxygen Required in Aeration Tank given Oxygen Demand of Biomass be negative?

No, the Oxygen Required in Aeration Tank given Oxygen Demand of Biomass, measured in Mass Flow Rate cannot be negative.

Which unit is used to measure Oxygen Required in Aeration Tank given Oxygen Demand of Biomass?

Oxygen Required in Aeration Tank given Oxygen Demand of Biomass is usually measured using the Milligram per Day[mg/d] for Mass Flow Rate. Kilogram per Second[mg/d], Gram per Second[mg/d], Gram per Hour[mg/d] are the few other units in which Oxygen Required in Aeration Tank given Oxygen Demand of Biomass can be measured.

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