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Conversion Factor given Theoretical Oxygen Requirement Formula

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

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

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

Conversion Factor given Theoretical Oxygen Requirement Example

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Here is how the Conversion Factor given Theoretical Oxygen Requirement equation looks like with Values.

Here is how the Conversion Factor given Theoretical Oxygen Requirement equation looks like with Units.

Here is how the Conversion Factor given Theoretical Oxygen Requirement equation looks like.

3238.835 = \frac{8.34 \cdot 1.2 \cdot (25 - 15)}{2.5 + (1.42 \cdot 20)}

3238.835 = \frac{8.34 \cdot 1.2m³/d \cdot (25mg/L - 15mg/L)}{2.5mg/d + (1.42 \cdot 20mg/d)}

3238.835 = \frac{8.34 \cdot 1.2 \cdot (25 - 15)}{2.5 + (1.42 \cdot 20)}

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Conversion Factor given Theoretical Oxygen Requirement Solution

Follow our step by step solution on how to calculate Conversion Factor given Theoretical Oxygen Requirement?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

f = \frac{8.34 \cdot 1.2m³/d \cdot (25mg/L - 15mg/L)}{2.5mg/d + (1.42 \cdot 20mg/d)}

Next Step Convert Units

∴

f = \frac{8.34 \cdot 1.4E-5m³/s \cdot (0.025kg/m³ - 0.015kg/m³)}{2.9E-11kg/s + (1.42 \cdot 2.3E-10kg/s)}

Next Step Prepare to Evaluate

∴

f = \frac{8.34 \cdot 1.4E-5 \cdot (0.025 - 0.015)}{2.9E-11 + (1.42 \cdot 2.3E-10)}

Next Step Evaluate

∴

f = 3238.83495145632

LAST Step Rounding Answer

∴

f = 3238.835

Conversion Factor given Theoretical Oxygen Requirement Formula Elements

Variables

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

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

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

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

Other formulas in Theoretical Oxygen Requirement category

Go Theoretical Oxygen Requirement for removal of Carbonaceous Organic Matter

O 2 = B - (1.42 \cdot M)

Go Theoretical Oxygen requirements using Conversion Factor

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

Go Total Mass of BOD Utilized given Theoretical Oxygen Requirement

B = O 2 + (1.42 \cdot M)

Go Mass of Organisms Wasted given Theoretical Oxygen Requirement

M = \frac{B - O 2}{1.42}

How to Evaluate Conversion Factor given Theoretical Oxygen Requirement?

Conversion Factor given Theoretical Oxygen Requirement evaluator uses BOD Conversion Factor = (8.34*Average Daily Influent Flow Rate*(Influent Substrate Concentration-Effluent Substrate Concentration))/(Theoretical Oxygen Requirement+(1.42*Net Waste Activated Sludge)) to evaluate the BOD Conversion Factor, The Conversion Factor given Theoretical Oxygen Requirement formula is defined as the value that is required to convert 5 days BOD to ultimate BOD. BOD Conversion Factor is denoted by f symbol.

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

FAQs on Conversion Factor given Theoretical Oxygen Requirement

What is the formula to find Conversion Factor given Theoretical Oxygen Requirement?

The formula of Conversion Factor given Theoretical Oxygen Requirement is expressed as BOD Conversion Factor = (8.34*Average Daily Influent Flow Rate*(Influent Substrate Concentration-Effluent Substrate Concentration))/(Theoretical Oxygen Requirement+(1.42*Net Waste Activated Sludge)). Here is an example- 3238.835 = (8.34*1.38888888888889E-05*(0.025-0.015))/(2.89351851851852E-11+(1.42*2.31481481481481E-10)).

How to calculate Conversion Factor given Theoretical Oxygen Requirement?

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

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Conversion Factor given Theoretical Oxygen Requirement Formula

Conversion Factor given Theoretical Oxygen Requirement Example

Conversion Factor given Theoretical Oxygen Requirement Solution

Conversion Factor given Theoretical Oxygen Requirement Formula Elements

Other formulas in Theoretical Oxygen Requirement category

How to Evaluate Conversion Factor given Theoretical Oxygen Requirement?

FAQs on Conversion Factor given Theoretical Oxygen Requirement

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