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Oxygen Required in Aeration Tank given Ultimate BOD Formula

GoOxygen Required in Aeration Tank given Oxygen Demand and Ultimate BOD Formula

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Oxygen Required is the amount of oxygen needed to sustain biological processes in an aeration tank, which is a critical component of wastewater treatment systems. Check FAQs

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

O_r - Oxygen Required?Q_s - Sewage Discharge?Q_i - Influent BOD?Q - Effluent BOD?BOD5 - 5 Days BOD?BOD^u - Ultimate BOD?Q_w - Volume of Wasted Sludge per day?X^R - MLSS in Returned or Wasted Sludge?

Oxygen Required in Aeration Tank given Ultimate BOD Example

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Here is how the Oxygen Required in Aeration Tank given Ultimate BOD equation looks like with Values.

Here is how the Oxygen Required in Aeration Tank given Ultimate BOD equation looks like with Units.

Here is how the Oxygen Required in Aeration Tank given Ultimate BOD equation looks like.

0.1693 = (\frac{10 \cdot (13.2 - 0.4)}{\frac{1.36}{2}}) - (1.42 \cdot 9.5 \cdot 1.4)

0.1693mg/d = (\frac{10m³/s \cdot (13.2mg/L - 0.4mg/L)}{\frac{1.36mg/L}{2mg/L}}) - (1.42 \cdot 9.5m³/s \cdot 1.4mg/L)

0.1693 = (\frac{10 \cdot (13.2 - 0.4)}{\frac{1.36}{2}}) - (1.42 \cdot 9.5 \cdot 1.4)

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Oxygen Required in Aeration Tank given Ultimate BOD Solution

Follow our step by step solution on how to calculate Oxygen Required in Aeration Tank given Ultimate BOD?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

O r = (\frac{10m³/s \cdot (13.2mg/L - 0.4mg/L)}{\frac{1.36mg/L}{2mg/L}}) - (1.42 \cdot 9.5m³/s \cdot 1.4mg/L)

Next Step Convert Units

∴

O r = (\frac{10m³/s \cdot (0.0132kg/m³ - 0.0004kg/m³)}{\frac{0.0014kg/m³}{0.002kg/m³}}) - (1.42 \cdot 9.5m³/s \cdot 0.0014kg/m³)

Next Step Prepare to Evaluate

∴

O r = (\frac{10 \cdot (0.0132 - 0.0004)}{\frac{0.0014}{0.002}}) - (1.42 \cdot 9.5 \cdot 0.0014)

Next Step Evaluate

∴

O r = 1.9600612745098E-12kg/s

Next Step Convert to Output's Unit

∴

O r = 0.169349294117647mg/d

LAST Step Rounding Answer

∴

O r = 0.1693mg/d

Oxygen Required in Aeration Tank given Ultimate BOD Formula Elements

Variables

Oxygen Required

Oxygen Required is the amount of oxygen needed to sustain biological processes in an aeration tank, which is a critical component of wastewater treatment systems.

Symbol: O_r

Measurement: Mass Flow RateUnit: mg/d

Note: Value should be greater than 0.

Formulas to find Oxygen Required

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.

Formulas to find Sewage Discharge

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.

Formulas to find Influent BOD

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.

Formulas to find Effluent BOD

5 Days BOD

5 Days BOD is an indicator of how much oxygen is utilized by a natural water sample in five days at 20 degrees C.

Symbol: BOD5

Measurement: DensityUnit: mg/L

Note: Value should be greater than 0.

Formulas to find 5 Days BOD

Ultimate BOD

Ultimate BOD is the amount of oxygen required to decompose all of the organic material after infinite time.

Symbol: BOD^u

Measurement: DensityUnit: mg/L

Note: Value should be greater than 0.

Formulas to find Ultimate BOD

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.

Formulas to find Volume of Wasted Sludge per day

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.

Formulas to find MLSS in Returned or Wasted Sludge

Other Formulas to find Oxygen Required

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)

Other formulas in Oxygen Required in Aeration Tank category

Go Oxygen Required in Aeration Tank

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

Go Oxygen Required in Aeration Tank given Oxygen Demand of Biomass

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

How to Evaluate Oxygen Required in Aeration Tank given Ultimate BOD?

Oxygen Required in Aeration Tank given Ultimate BOD evaluator uses Oxygen Required = ((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) to evaluate the Oxygen Required, The Oxygen Required in Aeration Tank given Ultimate BOD formula is defined as the calculation of oxygen required in aeration tank when we have prior information of Ultimate BOD. Oxygen Required is denoted by O_r symbol.

How to evaluate Oxygen Required in Aeration Tank given Ultimate BOD using this online evaluator? To use this online evaluator for Oxygen Required in Aeration Tank given Ultimate BOD, enter Sewage Discharge (Q_s), Influent BOD (Q_i), Effluent BOD (Q), 5 Days BOD (BOD5), Ultimate BOD (BOD^u), 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 Ultimate BOD

What is the formula to find Oxygen Required in Aeration Tank given Ultimate BOD?

The formula of Oxygen Required in Aeration Tank given Ultimate BOD is expressed as Oxygen Required = ((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). Here is an example- 1.5E+10 = ((10*(0.0132-0.0004))/(0.00136/0.002))-(1.42*9.5*0.0014).

How to calculate Oxygen Required in Aeration Tank given Ultimate BOD?

With Sewage Discharge (Q_s), Influent BOD (Q_i), Effluent BOD (Q), 5 Days BOD (BOD5), Ultimate BOD (BOD^u), 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 Ultimate BOD using the formula - Oxygen Required = ((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).

What are the other ways to Calculate Oxygen Required?

Here are the different ways to Calculate Oxygen Required-

Oxygen Required=((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)

Can the Oxygen Required in Aeration Tank given Ultimate BOD be negative?

No, the Oxygen Required in Aeration Tank given Ultimate BOD, measured in Mass Flow Rate cannot be negative.

Which unit is used to measure Oxygen Required in Aeration Tank given Ultimate BOD?

Oxygen Required in Aeration Tank given Ultimate BOD 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 Ultimate BOD can be measured.

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Oxygen Required in Aeration Tank given Ultimate BOD Formula

​GoOxygen Required in Aeration Tank given Oxygen Demand and Ultimate BOD Formula

Oxygen Required in Aeration Tank given Ultimate BOD Example

Oxygen Required in Aeration Tank given Ultimate BOD Solution

Oxygen Required in Aeration Tank given Ultimate BOD Formula Elements

Other Formulas to find Oxygen Required

Other formulas in Oxygen Required in Aeration Tank category

How to Evaluate Oxygen Required in Aeration Tank given Ultimate BOD?

FAQs on Oxygen Required in Aeration Tank given Ultimate BOD

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GoOxygen Required in Aeration Tank given Oxygen Demand and Ultimate BOD Formula