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Effluent BOD given Volume of Aeration Tank Formula

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Effluent BOD is the amount of dissolved oxygen needed by aerobic biological organisms to break down organic material present in a water sample at a certain temperature over a specific time period. Check FAQs

Q o = Q i - (\frac{V \cdot X \cdot (1 + K e \cdot θ c)}{Y \cdot Q s \cdot θ c})

Q_o - Effluent BOD?Q_i - Influent BOD?V - Volume of Tank?X - MLSS?K^e - Endogenous Respiration Rate Constant?θ_c - Sludge Age?Y - Maximum Yield Coefficient?Q_s - Sewage Discharge?

Effluent BOD given Volume of Aeration Tank Example

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Here is how the Effluent BOD given Volume of Aeration Tank equation looks like with Values.

Here is how the Effluent BOD given Volume of Aeration Tank equation looks like with Units.

Here is how the Effluent BOD given Volume of Aeration Tank equation looks like.

0.4 = 0.48 - (\frac{9 \cdot 1200 \cdot (1 + 3 \cdot 5)}{0.5 \cdot 10 \cdot 5})

0.4mg/L = 0.48mg/L - (\frac{9m³ \cdot 1200mg/L \cdot (1 + 3d⁻¹ \cdot 5d)}{0.5 \cdot 10m³/s \cdot 5d})

0.4 = 0.48 - (\frac{9 \cdot 1200 \cdot (1 + 3 \cdot 5)}{0.5 \cdot 10 \cdot 5})

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Effluent BOD given Volume of Aeration Tank Solution

Follow our step by step solution on how to calculate Effluent BOD given Volume of Aeration Tank?

FIRST Step Consider the formula

Q o = Q i - (\frac{V \cdot X \cdot (1 + K e \cdot θ c)}{Y \cdot Q s \cdot θ c})

Next Step Substitute values of Variables

∴

Q o = 0.48mg/L - (\frac{9m³ \cdot 1200mg/L \cdot (1 + 3d⁻¹ \cdot 5d)}{0.5 \cdot 10m³/s \cdot 5d})

Next Step Convert Units

∴

Q o = 0.0005kg/m³ - (\frac{9m³ \cdot 1.2kg/m³ \cdot (1 + 3.5E-5s⁻¹ \cdot 432000s)}{0.5 \cdot 10m³/s \cdot 432000s})

Next Step Prepare to Evaluate

∴

Q o = 0.0005 - (\frac{9 \cdot 1.2 \cdot (1 + 3.5E-5 \cdot 432000)}{0.5 \cdot 10 \cdot 432000})

Next Step Evaluate

∴

Q o = 0.0004kg/m³

LAST Step Convert to Output's Unit

∴

Q o = 0.4mg/L

Effluent BOD given Volume of Aeration Tank Formula Elements

Variables

Effluent BOD

Effluent BOD is the amount of dissolved oxygen needed by aerobic biological organisms to break down organic material present in a water sample at a certain temperature over a specific time period.

Symbol: Q_o

Measurement: DensityUnit: mg/L

Note: Value should be greater than 0.

Formulas to find Effluent BOD

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

Volume of Tank

Volume of Tank is defined as the capacity of flocculation and mixing tank.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Tank

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

Endogenous Respiration Rate Constant

Endogenous Respiration Rate Constant is used for designing a complete-mix activated-sludge system.

Symbol: K^e

Measurement: First Order Reaction Rate ConstantUnit: d⁻¹

Note: Value should be greater than 0.

Formulas to find Endogenous Respiration Rate Constant

Sludge Age

Sludge Age is the average time for which the particle of suspended solids remains in aeration.

Symbol: θ_c

Measurement: TimeUnit: d

Note: Value should be greater than 0.

Formulas to find Sludge Age

Maximum Yield Coefficient

Maximum Yield Coefficient Y represents the maximum mg of cells produced per mg organic matter removed.

Symbol: Y

Measurement: NAUnit: Unitless

Note: Value should be between 0.4 to 0.8.

Formulas to find Maximum Yield Coefficient

Sewage Discharge

Sewage discharge is the flow rate of sewage when it is being discharged into the water body.

Symbol: Q_s

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Sewage Discharge

Other formulas in Size and Volume of the Aeration Tank category

Go Volume of Aeration Tank

V = \frac{Y \cdot Q s \cdot (Q i - Q o) \cdot θ c}{X \cdot (1 + K e \cdot θ c)}

Go MLSS given volume of Aeration Tank

X = \frac{Y \cdot Q s \cdot (Q i - Q o) \cdot θ c}{V \cdot (1 + K e \cdot θ c)}

How to Evaluate Effluent BOD given Volume of Aeration Tank?

Effluent BOD given Volume of Aeration Tank evaluator uses Effluent BOD = Influent BOD-((Volume of Tank*MLSS*(1+Endogenous Respiration Rate Constant*Sludge Age))/(Maximum Yield Coefficient*Sewage Discharge*Sludge Age)) to evaluate the Effluent BOD, The Effluent BOD given Volume of Aeration Tank formula is defined as the value of effluent BOD when we have prior information of volume of aeration tank. Effluent BOD is denoted by Q_o symbol.

How to evaluate Effluent BOD given Volume of Aeration Tank using this online evaluator? To use this online evaluator for Effluent BOD given Volume of Aeration Tank, enter Influent BOD (Q_i), Volume of Tank (V), MLSS (X), Endogenous Respiration Rate Constant (K^e), Sludge Age (θ_c), Maximum Yield Coefficient (Y) & Sewage Discharge (Q_s) and hit the calculate button.

FAQs on Effluent BOD given Volume of Aeration Tank

What is the formula to find Effluent BOD given Volume of Aeration Tank?

The formula of Effluent BOD given Volume of Aeration Tank is expressed as Effluent BOD = Influent BOD-((Volume of Tank*MLSS*(1+Endogenous Respiration Rate Constant*Sludge Age))/(Maximum Yield Coefficient*Sewage Discharge*Sludge Age)). Here is an example- 400 = 0.00048-((9*1.2*(1+3.47222222222222E-05*432000))/(0.5*10*432000)).

How to calculate Effluent BOD given Volume of Aeration Tank?

With Influent BOD (Q_i), Volume of Tank (V), MLSS (X), Endogenous Respiration Rate Constant (K^e), Sludge Age (θ_c), Maximum Yield Coefficient (Y) & Sewage Discharge (Q_s) we can find Effluent BOD given Volume of Aeration Tank using the formula - Effluent BOD = Influent BOD-((Volume of Tank*MLSS*(1+Endogenous Respiration Rate Constant*Sludge Age))/(Maximum Yield Coefficient*Sewage Discharge*Sludge Age)).

Can the Effluent BOD given Volume of Aeration Tank be negative?

No, the Effluent BOD given Volume of Aeration Tank, measured in Density cannot be negative.

Which unit is used to measure Effluent BOD given Volume of Aeration Tank?

Effluent BOD given Volume of Aeration Tank is usually measured using the Milligram per Liter[mg/L] for Density. Kilogram per Cubic Meter[mg/L], Kilogram per Cubic Centimeter[mg/L], Gram per Cubic Meter[mg/L] are the few other units in which Effluent BOD given Volume of Aeration Tank can be measured.

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Effluent BOD given Volume of Aeration Tank Formula

Effluent BOD given Volume of Aeration Tank Example

Effluent BOD given Volume of Aeration Tank Solution

Effluent BOD given Volume of Aeration Tank Formula Elements

Other formulas in Size and Volume of the Aeration Tank category

How to Evaluate Effluent BOD given Volume of Aeration Tank?

FAQs on Effluent BOD given Volume of Aeration Tank

Variable Name