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Volume of Wasted Sludge Per Day given Oxygen Required in Aeration Tank Formula

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

Q w' = \frac{(\frac{Q s \cdot (Q i - Q)}{f}) - O 2}{1.42 \cdot X}

Q_w' - Volume of Wasted Sludge?Q_s - Sewage Discharge?Q_i - Influent BOD?Q - Effluent BOD?f - Ratio of BOD to Ultimate BOD?O₂ - Theoretical Oxygen Requirement?X - MLSS?

Volume of Wasted Sludge Per Day given Oxygen Required in Aeration Tank Example

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Here is how the Volume of Wasted Sludge Per Day given Oxygen Required in Aeration Tank equation looks like with Values.

Here is how the Volume of Wasted Sludge Per Day given Oxygen Required in Aeration Tank equation looks like with Units.

Here is how the Volume of Wasted Sludge Per Day given Oxygen Required in Aeration Tank equation looks like.

0.025 = \frac{(\frac{10 \cdot (13.2 - 0.4)}{3}) - 2.5}{1.42 \cdot 1200}

0.025m³/s = \frac{(\frac{10m³/s \cdot (13.2mg/L - 0.4mg/L)}{3}) - 2.5mg/d}{1.42 \cdot 1200mg/L}

0.025 = \frac{(\frac{10 \cdot (13.2 - 0.4)}{3}) - 2.5}{1.42 \cdot 1200}

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Volume of Wasted Sludge Per Day given Oxygen Required in Aeration Tank Solution

Follow our step by step solution on how to calculate Volume of Wasted Sludge Per Day given Oxygen Required in Aeration Tank?

FIRST Step Consider the formula

Q w' = \frac{(\frac{Q s \cdot (Q i - Q)}{f}) - O 2}{1.42 \cdot X}

Next Step Substitute values of Variables

∴

Q w' = \frac{(\frac{10m³/s \cdot (13.2mg/L - 0.4mg/L)}{3}) - 2.5mg/d}{1.42 \cdot 1200mg/L}

Next Step Convert Units

∴

Q w' = \frac{(\frac{10m³/s \cdot (0.0132kg/m³ - 0.0004kg/m³)}{3}) - 2.9E-11kg/s}{1.42 \cdot 1.2kg/m³}

Next Step Prepare to Evaluate

∴

Q w' = \frac{(\frac{10 \cdot (0.0132 - 0.0004)}{3}) - 2.9E-11}{1.42 \cdot 1.2}

Next Step Evaluate

∴

Q w' = 0.0250391236136922m³/s

LAST Step Rounding Answer

∴

Q w' = 0.025m³/s

Volume of Wasted Sludge Per Day given Oxygen Required in Aeration Tank Formula Elements

Variables

Volume of Wasted Sludge

Volume of Wasted Sludge 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

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

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

MLSS

MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics).

Symbol: X

Measurement: DensityUnit: mg/L

Note: Value should be between 1000 to 6500.

Formulas to find MLSS

Other formulas in Volume of Wasted Sludge 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 Volume of Wasted Sludge Per Day given Oxygen Required in Aeration Tank?

Volume of Wasted Sludge Per Day given Oxygen Required in Aeration Tank evaluator uses Volume of Wasted Sludge = (((Sewage Discharge*(Influent BOD-Effluent BOD))/Ratio of BOD to Ultimate BOD)-Theoretical Oxygen Requirement)/(1.42*MLSS) to evaluate the Volume of Wasted Sludge, Volume of Wasted Sludge Per Day given Oxygen Required in Aeration Tank formula is defined as the quantity of sludge wasted daily, which is influenced by the oxygen required in the aeration tank, and is a critical parameter in wastewater treatment processes to ensure efficient removal of organic matter. Volume of Wasted Sludge is denoted by Q_w' symbol.

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

FAQs on Volume of Wasted Sludge Per Day given Oxygen Required in Aeration Tank

What is the formula to find Volume of Wasted Sludge Per Day given Oxygen Required in Aeration Tank?

The formula of Volume of Wasted Sludge Per Day given Oxygen Required in Aeration Tank is expressed as Volume of Wasted Sludge = (((Sewage Discharge*(Influent BOD-Effluent BOD))/Ratio of BOD to Ultimate BOD)-Theoretical Oxygen Requirement)/(1.42*MLSS). Here is an example- 0.025039 = (((10*(0.0132-0.0004))/3)-2.89351851851852E-11)/(1.42*1.2).

How to calculate Volume of Wasted Sludge Per Day given Oxygen Required in Aeration Tank?

With Sewage Discharge (Q_s), Influent BOD (Q_i), Effluent BOD (Q), Ratio of BOD to Ultimate BOD (f), Theoretical Oxygen Requirement (O₂) & MLSS (X) we can find Volume of Wasted Sludge Per Day given Oxygen Required in Aeration Tank using the formula - Volume of Wasted Sludge = (((Sewage Discharge*(Influent BOD-Effluent BOD))/Ratio of BOD to Ultimate BOD)-Theoretical Oxygen Requirement)/(1.42*MLSS).

Can the Volume of Wasted Sludge Per Day given Oxygen Required in Aeration Tank be negative?

No, the Volume of Wasted Sludge Per Day given Oxygen Required in Aeration Tank, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Volume of Wasted Sludge Per Day given Oxygen Required in Aeration Tank?

Volume of Wasted Sludge Per Day 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 Volume of Wasted Sludge Per Day given Oxygen Required in Aeration Tank can be measured.

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Volume of Wasted Sludge Per Day given Oxygen Required in Aeration Tank Formula

Volume of Wasted Sludge Per Day given Oxygen Required in Aeration Tank Example

Volume of Wasted Sludge Per Day given Oxygen Required in Aeration Tank Solution

Volume of Wasted Sludge Per Day given Oxygen Required in Aeration Tank Formula Elements

Other formulas in Volume of Wasted Sludge category

How to Evaluate Volume of Wasted Sludge Per Day given Oxygen Required in Aeration Tank?

FAQs on Volume of Wasted Sludge Per Day given Oxygen Required in Aeration Tank

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