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Net Waste Activated Sludge given Theoretical Oxygen Requirement Formula

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Net Waste Activated Sludge is the amount of waste product that can be treated using the activated sludge process. Check FAQs

P x = (\frac{Q a \cdot 8.34 \cdot (S o - S)}{f \cdot 1.42}) - (\frac{O 2}{1.42})

P_x - Net Waste Activated Sludge?Q_a - Average Daily Influent Flow Rate?S_o - Influent Substrate Concentration?S - Effluent Substrate Concentration?f - BOD Conversion Factor?O₂ - Theoretical Oxygen Requirement?

Net Waste Activated Sludge given Theoretical Oxygen Requirement Example

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Here is how the Net Waste Activated Sludge given Theoretical Oxygen Requirement equation looks like with Values.

Here is how the Net Waste Activated Sludge given Theoretical Oxygen Requirement equation looks like with Units.

Here is how the Net Waste Activated Sludge given Theoretical Oxygen Requirement equation looks like.

103643.6413 = (\frac{1.2 \cdot 8.34 \cdot (25 - 15)}{0.68 \cdot 1.42}) - (\frac{2.5}{1.42})

103643.6413mg/d = (\frac{1.2m³/d \cdot 8.34 \cdot (25mg/L - 15mg/L)}{0.68 \cdot 1.42}) - (\frac{2.5mg/d}{1.42})

103643.6413 = (\frac{1.2 \cdot 8.34 \cdot (25 - 15)}{0.68 \cdot 1.42}) - (\frac{2.5}{1.42})

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Net Waste Activated Sludge given Theoretical Oxygen Requirement Solution

Follow our step by step solution on how to calculate Net Waste Activated Sludge given Theoretical Oxygen Requirement?

FIRST Step Consider the formula

P x = (\frac{Q a \cdot 8.34 \cdot (S o - S)}{f \cdot 1.42}) - (\frac{O 2}{1.42})

Next Step Substitute values of Variables

∴

P x = (\frac{1.2m³/d \cdot 8.34 \cdot (25mg/L - 15mg/L)}{0.68 \cdot 1.42}) - (\frac{2.5mg/d}{1.42})

Next Step Convert Units

∴

P x = (\frac{1.4E-5m³/s \cdot 8.34 \cdot (0.025kg/m³ - 0.015kg/m³)}{0.68 \cdot 1.42}) - (\frac{2.9E-11kg/s}{1.42})

Next Step Prepare to Evaluate

∴

P x = (\frac{1.4E-5 \cdot 8.34 \cdot (0.025 - 0.015)}{0.68 \cdot 1.42}) - (\frac{2.9E-11}{1.42})

Next Step Evaluate

∴

P x = 1.19957918124214E-06kg/s

Next Step Convert to Output's Unit

∴

P x = 103643.641259321mg/d

LAST Step Rounding Answer

∴

P x = 103643.6413mg/d

Net Waste Activated Sludge given Theoretical Oxygen Requirement Formula Elements

Variables

Net Waste Activated Sludge

Net Waste Activated Sludge is the amount of waste product that can be treated using the activated sludge process.

Symbol: P_x

Measurement: Mass Flow RateUnit: mg/d

Note: Value should be greater than 0.

Formulas to find Net Waste Activated Sludge

Average Daily Influent Flow Rate

Average Daily Influent Flow Rate is the total discharge that comes in the reactor.

Symbol: Q_a

Measurement: Volumetric Flow RateUnit: m³/d

Note: Value should be greater than 0.

Formulas to find Average Daily Influent Flow Rate

Influent Substrate Concentration

Influent Substrate Concentration refers to the concentration of organic matter or nutrients in the raw wastewater entering a treatment plant.

Symbol: S_o

Measurement: DensityUnit: mg/L

Note: Value should be greater than 0.

Formulas to find Influent Substrate Concentration

Effluent Substrate Concentration

Effluent Substrate Concentration refers to the concentration of organic matter or nutrients present in the treated wastewater (effluent) that is discharged from a wastewater treatment plant.

Symbol: S

Measurement: DensityUnit: mg/L

Note: Value should be greater than 0.

Formulas to find Effluent Substrate Concentration

BOD Conversion Factor

BOD Conversion Factor is the value that is multiplied in the 5 days BOD to get the value of ultimate BOD.

Symbol: f

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find BOD Conversion Factor

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

Other Formulas to find Net Waste Activated Sludge

Go Net Waste Activated Sludge

P x = Y obs \cdot Q a \cdot (S o - S) \cdot 8.34

How to Evaluate Net Waste Activated Sludge given Theoretical Oxygen Requirement?

Net Waste Activated Sludge given Theoretical Oxygen Requirement evaluator uses Net Waste Activated Sludge = ((Average Daily Influent Flow Rate*8.34*(Influent Substrate Concentration-Effluent Substrate Concentration))/(BOD Conversion Factor*1.42))-(Theoretical Oxygen Requirement/1.42) to evaluate the Net Waste Activated Sludge, The Net waste activated sludge given theoretical oxygen requirement formula is defined as the amount of waste that remains in the reactor after the decomposition takes place. Net Waste Activated Sludge is denoted by P_x symbol.

How to evaluate Net Waste Activated Sludge given Theoretical Oxygen Requirement using this online evaluator? To use this online evaluator for Net Waste Activated Sludge given Theoretical Oxygen Requirement, enter Average Daily Influent Flow Rate (Q_a), Influent Substrate Concentration (S_o), Effluent Substrate Concentration (S), BOD Conversion Factor (f) & Theoretical Oxygen Requirement (O₂) and hit the calculate button.

FAQs on Net Waste Activated Sludge given Theoretical Oxygen Requirement

What is the formula to find Net Waste Activated Sludge given Theoretical Oxygen Requirement?

The formula of Net Waste Activated Sludge given Theoretical Oxygen Requirement is expressed as Net Waste Activated Sludge = ((Average Daily Influent Flow Rate*8.34*(Influent Substrate Concentration-Effluent Substrate Concentration))/(BOD Conversion Factor*1.42))-(Theoretical Oxygen Requirement/1.42). Here is an example- 9E+15 = ((1.38888888888889E-05*8.34*(0.025-0.015))/(0.68*1.42))-(2.89351851851852E-11/1.42).

How to calculate Net Waste Activated Sludge given Theoretical Oxygen Requirement?

With Average Daily Influent Flow Rate (Q_a), Influent Substrate Concentration (S_o), Effluent Substrate Concentration (S), BOD Conversion Factor (f) & Theoretical Oxygen Requirement (O₂) we can find Net Waste Activated Sludge given Theoretical Oxygen Requirement using the formula - Net Waste Activated Sludge = ((Average Daily Influent Flow Rate*8.34*(Influent Substrate Concentration-Effluent Substrate Concentration))/(BOD Conversion Factor*1.42))-(Theoretical Oxygen Requirement/1.42).

What are the other ways to Calculate Net Waste Activated Sludge?

Here are the different ways to Calculate Net Waste Activated Sludge-

Net Waste Activated Sludge=Observed Cell Yield*Average Daily Influent Flow Rate*(Influent Substrate Concentration-Effluent Substrate Concentration)*8.34

Can the Net Waste Activated Sludge given Theoretical Oxygen Requirement be negative?

No, the Net Waste Activated Sludge given Theoretical Oxygen Requirement, measured in Mass Flow Rate cannot be negative.

Which unit is used to measure Net Waste Activated Sludge given Theoretical Oxygen Requirement?

Net Waste Activated Sludge given Theoretical Oxygen Requirement 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 Net Waste Activated Sludge given Theoretical Oxygen Requirement can be measured.

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Net Waste Activated Sludge given Theoretical Oxygen Requirement Formula

​GoNet Waste Activated Sludge Formula

Net Waste Activated Sludge given Theoretical Oxygen Requirement Example

Net Waste Activated Sludge given Theoretical Oxygen Requirement Solution

Net Waste Activated Sludge given Theoretical Oxygen Requirement Formula Elements

Other Formulas to find Net Waste Activated Sludge

How to Evaluate Net Waste Activated Sludge given Theoretical Oxygen Requirement?

FAQs on Net Waste Activated Sludge given Theoretical Oxygen Requirement

Variable Name

GoNet Waste Activated Sludge Formula