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Sewage Discharge given Oxygen Required in Aeration Tank Formula

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Sewage Discharge given Oxygen Required is the amount of sewage that needs to be treated in an aeration tank based on the oxygen demand of the microorganisms. Check FAQs

Q oxy = (\frac{f \cdot (O 2 + (1.42 \cdot Q w \cdot X R))}{Q i - Q})

Q_oxy - Sewage Discharge given Oxygen Required?f - Ratio of BOD to Ultimate BOD?O₂ - Theoretical Oxygen Requirement?Q_w - Volume of Wasted Sludge per day?X^R - MLSS in Returned or Wasted Sludge?Q_i - Influent BOD?Q - Effluent BOD?

Sewage Discharge given Oxygen Required in Aeration Tank Example

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

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

Here is how the Sewage Discharge given Oxygen Required in Aeration Tank equation looks like.

4.4264 = (\frac{3 \cdot (2.5 + (1.42 \cdot 9.5 \cdot 1.4))}{13.2 - 0.4})

4.4264m³/s = (\frac{3 \cdot (2.5mg/d + (1.42 \cdot 9.5m³/s \cdot 1.4mg/L))}{13.2mg/L - 0.4mg/L})

4.4264 = (\frac{3 \cdot (2.5 + (1.42 \cdot 9.5 \cdot 1.4))}{13.2 - 0.4})

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Sewage Discharge given Oxygen Required in Aeration Tank Solution

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

FIRST Step Consider the formula

Q oxy = (\frac{f \cdot (O 2 + (1.42 \cdot Q w \cdot X R))}{Q i - Q})

Next Step Substitute values of Variables

∴

Q oxy = (\frac{3 \cdot (2.5mg/d + (1.42 \cdot 9.5m³/s \cdot 1.4mg/L))}{13.2mg/L - 0.4mg/L})

Next Step Convert Units

∴

Q oxy = (\frac{3 \cdot (2.9E-11kg/s + (1.42 \cdot 9.5m³/s \cdot 0.0014kg/m³))}{0.0132kg/m³ - 0.0004kg/m³})

Next Step Prepare to Evaluate

∴

Q oxy = (\frac{3 \cdot (2.9E-11 + (1.42 \cdot 9.5 \cdot 0.0014))}{0.0132 - 0.0004})

Next Step Evaluate

∴

Q oxy = 4.42640625678168m³/s

LAST Step Rounding Answer

∴

Q oxy = 4.4264m³/s

Sewage Discharge given Oxygen Required in Aeration Tank Formula Elements

Variables

Sewage Discharge given Oxygen Required

Sewage Discharge given Oxygen Required is the amount of sewage that needs to be treated in an aeration tank based on the oxygen demand of the microorganisms.

Symbol: Q_oxy

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Sewage Discharge given Oxygen Required

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.

Formulas to find Ratio of BOD to Ultimate BOD

Theoretical Oxygen Requirement

Theoretical Oxygen Requirement is the calculated amount of oxygen required to oxidize a compound to its final oxidation products.

Symbol: O₂

Measurement: Mass Flow RateUnit: mg/d

Note: Value should be greater than 0.

Formulas to find Theoretical Oxygen Requirement

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

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

Other formulas in Sewage Discharge category

Go Ratio of BOD to Ultimate BOD

f = \frac{BOD 5}{BOD u}

Go BOD5 given Oxygen Required in Aeration Tank

BOD 5a = BOD u \cdot \frac{Q s \cdot (Q i - Q)}{O 2 + (1.42 \cdot Q w \cdot X R)}

How to Evaluate Sewage Discharge given Oxygen Required in Aeration Tank?

Sewage Discharge given Oxygen Required in Aeration Tank evaluator uses Sewage Discharge given Oxygen Required = ((Ratio of BOD to Ultimate BOD*(Theoretical Oxygen Requirement+(1.42*Volume of Wasted Sludge per day*MLSS in Returned or Wasted Sludge)))/(Influent BOD-Effluent BOD)) to evaluate the Sewage Discharge given Oxygen Required, Sewage Discharge given Oxygen Required in Aeration Tank formula is defined as a measure of the amount of oxygen required to remove organic matter from wastewater in an aeration tank, which is essential for maintaining a healthy ecosystem and preventing environmental pollution. Sewage Discharge given Oxygen Required is denoted by Q_oxy symbol.

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

FAQs on Sewage Discharge given Oxygen Required in Aeration Tank

What is the formula to find Sewage Discharge given Oxygen Required in Aeration Tank?

The formula of Sewage Discharge given Oxygen Required in Aeration Tank is expressed as Sewage Discharge given Oxygen Required = ((Ratio of BOD to Ultimate BOD*(Theoretical Oxygen Requirement+(1.42*Volume of Wasted Sludge per day*MLSS in Returned or Wasted Sludge)))/(Influent BOD-Effluent BOD)). Here is an example- 4.426406 = ((3*(2.89351851851852E-11+(1.42*9.5*0.0014)))/(0.0132-0.0004)).

How to calculate Sewage Discharge given Oxygen Required in Aeration Tank?

With Ratio of BOD to Ultimate BOD (f), Theoretical Oxygen Requirement (O₂), Volume of Wasted Sludge per day (Q_w), MLSS in Returned or Wasted Sludge (X^R), Influent BOD (Q_i) & Effluent BOD (Q) we can find Sewage Discharge given Oxygen Required in Aeration Tank using the formula - Sewage Discharge given Oxygen Required = ((Ratio of BOD to Ultimate BOD*(Theoretical Oxygen Requirement+(1.42*Volume of Wasted Sludge per day*MLSS in Returned or Wasted Sludge)))/(Influent BOD-Effluent BOD)).

Can the Sewage Discharge given Oxygen Required in Aeration Tank be negative?

No, the Sewage Discharge given Oxygen Required in Aeration Tank, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Sewage Discharge given Oxygen Required in Aeration Tank?

Sewage Discharge given Oxygen Required in Aeration Tank is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Sewage Discharge given Oxygen Required in Aeration Tank can be measured.

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Sewage Discharge given Oxygen Required in Aeration Tank Formula

Sewage Discharge given Oxygen Required in Aeration Tank Example

Sewage Discharge given Oxygen Required in Aeration Tank Solution

Sewage Discharge given Oxygen Required in Aeration Tank Formula Elements

Other formulas in Sewage Discharge category

How to Evaluate Sewage Discharge given Oxygen Required in Aeration Tank?

FAQs on Sewage Discharge given Oxygen Required in Aeration Tank

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