Effluent BOD given Volume of Aeration Tank Calculator

✖Influent BOD is the total amount of BOD which is present in the incoming sewage.ⓘ Influent BOD [Q_i]			+10% -10%
✖Volume of tank is defined as the capacity of flocculation and mixing tank.ⓘ Volume of Tank [V]			+10% -10%
✖MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics).ⓘ MLSS [X]			+10% -10%
✖Endogenous Respiration Rate Constant is used for designing a complete-mix activated-sludge system.ⓘ Endogenous Respiration Rate Constant [K^e]			+10% -10%
✖Sludge Age is the average time for which the particle of suspended solids remains in aeration.ⓘ Sludge Age [θ_c]			+10% -10%
✖Maximum Yield Coefficient Y represents the maximum mg of cells produced per mg organic matter removed.ⓘ Maximum Yield Coefficient [Y]			+10% -10%
✖Sewage discharge is the flow rate of sewage when it is being discharged in the river.ⓘ Sewage Discharge [Q_s]			+10% -10%

✖Effluent BOD is the amount of BOD present in the outing sewage.ⓘ Effluent BOD given Volume of Aeration Tank [Q_o]

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Formula

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Effluent BOD given Volume of Aeration Tank

Formula

`"Q"_{"o"} = "Q"_{"i"}-(("V"*"X"*(1+"K"^{"e"}*"θ"_{"c"}))/("Y"*"Q"_{"s"}*"θ"_{"c"}))`

Example

`"0.4mg/L"="0.48mg/L"-(("9m³"*"1200mg/L"*(1+"3d⁻¹"*"5d"))/("0.5"*"10m³/s"*"5d"))`

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Effluent BOD given Volume of Aeration Tank Solution

STEP 0: Pre-Calculation Summary

Formula Used

Effluent BOD = Influent BOD-((Volume of Tank*MLSS*(1+Endogenous Respiration Rate Constant*Sludge Age))/(Maximum Yield Coefficient*Sewage Discharge*Sludge Age))
Q_o = Q_i-((V*X*(1+K^e*θ_c))/(Y*Q_s*θ_c))
This formula uses 8 Variables

Variables Used

Effluent BOD - (Measured in Kilogram per Cubic Meter) - Effluent BOD is the amount of BOD present in the outing sewage.
Influent BOD - (Measured in Kilogram per Cubic Meter) - Influent BOD is the total amount of BOD which is present in the incoming sewage.
Volume of Tank - (Measured in Cubic Meter) - Volume of tank is defined as the capacity of flocculation and mixing tank.
MLSS - (Measured in Kilogram per Cubic Meter) - MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics).
Endogenous Respiration Rate Constant - (Measured in 1 Per Second) - Endogenous Respiration Rate Constant is used for designing a complete-mix activated-sludge system.
Sludge Age - (Measured in Second) - Sludge Age is the average time for which the particle of suspended solids remains in aeration.
Maximum Yield Coefficient - Maximum Yield Coefficient Y represents the maximum mg of cells produced per mg organic matter removed.
Sewage Discharge - (Measured in Cubic Meter per Second) - Sewage discharge is the flow rate of sewage when it is being discharged in the river.

STEP 1: Convert Input(s) to Base Unit

Influent BOD: 0.48 Milligram per Liter --> 0.00048 Kilogram per Cubic Meter (Check conversion here)
Volume of Tank: 9 Cubic Meter --> 9 Cubic Meter No Conversion Required
MLSS: 1200 Milligram per Liter --> 1.2 Kilogram per Cubic Meter (Check conversion here)
Endogenous Respiration Rate Constant: 3 1 Per Day --> 3.47222222222222E-05 1 Per Second (Check conversion here)
Sludge Age: 5 Day --> 432000 Second (Check conversion here)
Maximum Yield Coefficient: 0.5 --> No Conversion Required
Sewage Discharge: 10 Cubic Meter per Second --> 10 Cubic Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_o = Q_i-((V*X*(1+K^e*θ_c))/(Y*Q_s*θ_c)) --> 0.00048-((9*1.2*(1+3.47222222222222E-05*432000))/(0.5*10*432000))

Evaluating ... ...

Q_o = 0.0004

STEP 3: Convert Result to Output's Unit

0.0004 Kilogram per Cubic Meter -->0.4 Milligram per Liter (Check conversion here)

FINAL ANSWER

0.4 Milligram per Liter <-- Effluent BOD

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< 8 Size and Volume of the Aeration Tank Calculators

Sludge Age given Volume of Aeration Tank

Go Sludge Age = (Volume of Tank*MLSS)/(Maximum Yield Coefficient*Sewage Discharge*(Influent BOD-Effluent BOD)-Volume of Tank*MLSS*Endogenous Respiration Rate Constant)

Endogenous Respiration Rate Constant given Volume of Aeration Tank

Go Endogenous Respiration Rate Constant = (((Maximum Yield Coefficient*Sewage Discharge*(Influent BOD-Effluent BOD)*Sludge Age)/(Volume of Tank*MLSS))-1)/Sludge Age

Maximum Yield Coefficient given Volume of Aeration Tank

Go Maximum Yield Coefficient = Volume of Tank/((Sewage Discharge*(Influent BOD-Effluent BOD)*Sludge Age)/(MLSS*(1+Endogenous Respiration Rate Constant*Sludge Age)))

Sewage Discharge given Volume of Aeration Tank

Go Sewage Discharge = Volume of Tank/((Maximum Yield Coefficient*(Influent BOD-Effluent BOD)*Sludge Age)/(MLSS*(1+Endogenous Respiration Rate Constant*Sludge Age)))

Influent BOD given Volume of Aeration Tank

Go Influent BOD = Effluent BOD+((Volume of Tank*MLSS*(1+Endogenous Respiration Rate Constant*Sludge Age))/(Maximum Yield Coefficient*Sewage Discharge*Sludge Age))

Effluent BOD given Volume of Aeration Tank

Go Effluent BOD = Influent BOD-((Volume of Tank*MLSS*(1+Endogenous Respiration Rate Constant*Sludge Age))/(Maximum Yield Coefficient*Sewage Discharge*Sludge Age))

MLSS given volume of Aeration Tank

Go MLSS = (Maximum Yield Coefficient*Sewage Discharge*(Influent BOD-Effluent BOD)*Sludge Age)/(Volume of Tank*(1+Endogenous Respiration Rate Constant*Sludge Age))

Volume of Aeration Tank

Go Volume of Tank = (Maximum Yield Coefficient*Sewage Discharge*(Influent BOD-Effluent BOD)*Sludge Age)/(MLSS*(1+Endogenous Respiration Rate Constant*Sludge Age))

Effluent BOD given Volume of Aeration Tank Formula

What is BOD ?

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

How to Calculate Effluent BOD given Volume of Aeration Tank?

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

How to calculate Effluent BOD given Volume of Aeration Tank using this online calculator? To use this online calculator 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. Here is how the Effluent BOD given Volume of Aeration Tank calculation can be explained with given input values -> 11120 = 0.00048-((9*1.2*(1+3.47222222222222E-05*432000))/(0.5*10*432000)).

FAQ

What is Effluent BOD given Volume of Aeration Tank?

The Effluent BOD given Volume of Aeration Tank is defined as the value of effluent BOD when we have prior information of other parameters used and is represented as Q_o = Q_i-((V*X*(1+K^e*θ_c))/(Y*Q_s*θ_c)) or Effluent BOD = Influent BOD-((Volume of Tank*MLSS*(1+Endogenous Respiration Rate Constant*Sludge Age))/(Maximum Yield Coefficient*Sewage Discharge*Sludge Age)). Influent BOD is the total amount of BOD which is present in the incoming sewage, Volume of tank is defined as the capacity of flocculation and mixing tank, MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics), Endogenous Respiration Rate Constant is used for designing a complete-mix activated-sludge system, Sludge Age is the average time for which the particle of suspended solids remains in aeration, Maximum Yield Coefficient Y represents the maximum mg of cells produced per mg organic matter removed & Sewage discharge is the flow rate of sewage when it is being discharged in the river.

How to calculate Effluent BOD given Volume of Aeration Tank?

The Effluent BOD given Volume of Aeration Tank is defined as the value of effluent BOD when we have prior information of other parameters used is calculated using Effluent BOD = Influent BOD-((Volume of Tank*MLSS*(1+Endogenous Respiration Rate Constant*Sludge Age))/(Maximum Yield Coefficient*Sewage Discharge*Sludge Age)). To calculate Effluent BOD given Volume of Aeration Tank, you need 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). With our tool, you need to enter the respective value for Influent BOD, Volume of Tank, MLSS, Endogenous Respiration Rate Constant, Sludge Age, Maximum Yield Coefficient & Sewage Discharge and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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