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Theoretical Oxygen requirements using Conversion Factor Formula

GoTheoretical Oxygen Requirement for removal of Carbonaceous Organic Matter Formula

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

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

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

Theoretical Oxygen requirements using Conversion Factor Example

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Here is how the Theoretical Oxygen requirements using Conversion Factor equation looks like with Values.

Here is how the Theoretical Oxygen requirements using Conversion Factor equation looks like with Units.

Here is how the Theoretical Oxygen requirements using Conversion Factor equation looks like.

147148.0706 = (\frac{1.2 \cdot (25 - 15) \cdot 8.34}{0.68}) - (1.42 \cdot 20)

147148.0706mg/d = (\frac{1.2m³/d \cdot (25mg/L - 15mg/L) \cdot 8.34}{0.68}) - (1.42 \cdot 20mg/d)

147148.0706 = (\frac{1.2 \cdot (25 - 15) \cdot 8.34}{0.68}) - (1.42 \cdot 20)

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Theoretical Oxygen requirements using Conversion Factor Solution

Follow our step by step solution on how to calculate Theoretical Oxygen requirements using Conversion Factor?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

O 2 = (\frac{1.2m³/d \cdot (25mg/L - 15mg/L) \cdot 8.34}{0.68}) - (1.42 \cdot 20mg/d)

Next Step Convert Units

∴

O 2 = (\frac{1.4E-5m³/s \cdot (0.025kg/m³ - 0.015kg/m³) \cdot 8.34}{0.68}) - (1.42 \cdot 2.3E-10kg/s)

Next Step Prepare to Evaluate

∴

O 2 = (\frac{1.4E-5 \cdot (0.025 - 0.015) \cdot 8.34}{0.68}) - (1.42 \cdot 2.3E-10)

Next Step Evaluate

∴

O 2 = 1.70310266884532E-06kg/s

Next Step Convert to Output's Unit

∴

O 2 = 147148.070588235mg/d

LAST Step Rounding Answer

∴

O 2 = 147148.0706mg/d

Theoretical Oxygen requirements using Conversion Factor Formula Elements

Variables

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

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

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 to find Theoretical Oxygen Requirement

Go Theoretical Oxygen Requirement for removal of Carbonaceous Organic Matter

O 2 = B - (1.42 \cdot M)

Other formulas in Theoretical Oxygen Requirement category

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}

Go Conversion Factor given Theoretical Oxygen Requirement

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

How to Evaluate Theoretical Oxygen requirements using Conversion Factor?

Theoretical Oxygen requirements using Conversion Factor evaluator uses Theoretical Oxygen Requirement = ((Average Daily Influent Flow Rate*(Influent Substrate Concentration-Effluent Substrate Concentration)*8.34)/BOD Conversion Factor)-(1.42*Net Waste Activated Sludge) to evaluate the Theoretical Oxygen Requirement, The Theoretical Oxygen requirements using Conversion Factor formula is defined as the amount of oxygen required to oxidize a compound to its final oxidation products. Theoretical Oxygen Requirement is denoted by O₂ symbol.

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

FAQs on Theoretical Oxygen requirements using Conversion Factor

What is the formula to find Theoretical Oxygen requirements using Conversion Factor?

The formula of Theoretical Oxygen requirements using Conversion Factor is expressed as Theoretical Oxygen Requirement = ((Average Daily Influent Flow Rate*(Influent Substrate Concentration-Effluent Substrate Concentration)*8.34)/BOD Conversion Factor)-(1.42*Net Waste Activated Sludge). Here is an example- 1.3E+16 = ((1.38888888888889E-05*(0.025-0.015)*8.34)/0.68)-(1.42*2.31481481481481E-10).

How to calculate Theoretical Oxygen requirements using Conversion Factor?

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

What are the other ways to Calculate Theoretical Oxygen Requirement?

Here are the different ways to Calculate Theoretical Oxygen Requirement-

Theoretical Oxygen Requirement=Total BOD Utilized-(1.42*Mass of Organisms Wasted)

Can the Theoretical Oxygen requirements using Conversion Factor be negative?

No, the Theoretical Oxygen requirements using Conversion Factor, measured in Mass Flow Rate cannot be negative.

Which unit is used to measure Theoretical Oxygen requirements using Conversion Factor?

Theoretical Oxygen requirements using Conversion Factor 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 Theoretical Oxygen requirements using Conversion Factor can be measured.

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Theoretical Oxygen requirements using Conversion Factor Formula

​GoTheoretical Oxygen Requirement for removal of Carbonaceous Organic Matter Formula

Theoretical Oxygen requirements using Conversion Factor Example

Theoretical Oxygen requirements using Conversion Factor Solution

Theoretical Oxygen requirements using Conversion Factor Formula Elements

Other Formulas to find Theoretical Oxygen Requirement

Other formulas in Theoretical Oxygen Requirement category

How to Evaluate Theoretical Oxygen requirements using Conversion Factor?

FAQs on Theoretical Oxygen requirements using Conversion Factor

Variable Name

GoTheoretical Oxygen Requirement for removal of Carbonaceous Organic Matter Formula