Influent BOD given Volume of Aeration Tank Solution

STEP 0: Pre-Calculation Summary
Formula Used
Influent BOD = Effluent BOD+((Volume of Tank*MLSS*(1+Endogenous Respiration Rate Constant*Sludge Age))/(Maximum Yield Coefficient*Sewage Discharge*Sludge Age))
Qi = Qo+((V*X*(1+Ke*θc))/(Y*Qs*θc))
This formula uses 8 Variables
Variables Used
Influent BOD - (Measured in Kilogram per Cubic Meter) - Influent BOD is the total amount of BOD which is present in the incoming sewage.
Effluent BOD - (Measured in Kilogram per Cubic Meter) - Effluent BOD is the amount of BOD present in the outing 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
Effluent BOD: 0.4 Milligram per Liter --> 0.0004 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
Qi = Qo+((V*X*(1+Kec))/(Y*Qsc)) --> 0.0004+((9*1.2*(1+3.47222222222222E-05*432000))/(0.5*10*432000))
Evaluating ... ...
Qi = 0.00048
STEP 3: Convert Result to Output's Unit
0.00048 Kilogram per Cubic Meter -->0.48 Milligram per Liter (Check conversion here)
FINAL ANSWER
0.48 Milligram per Liter <-- Influent BOD
(Calculation completed in 00.004 seconds)

Credits

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))

Influent BOD given Volume of Aeration Tank Formula

Influent BOD = Effluent BOD+((Volume of Tank*MLSS*(1+Endogenous Respiration Rate Constant*Sludge Age))/(Maximum Yield Coefficient*Sewage Discharge*Sludge Age))
Qi = Qo+((V*X*(1+Ke*θc))/(Y*Qs*θc))

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 Influent BOD given Volume of Aeration Tank?

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

How to calculate Influent BOD given Volume of Aeration Tank using this online calculator? To use this online calculator for Influent BOD given Volume of Aeration Tank, enter Effluent BOD (Qo), Volume of Tank (V), MLSS (X), Endogenous Respiration Rate Constant (Ke), Sludge Age c), Maximum Yield Coefficient (Y) & Sewage Discharge (Qs) and hit the calculate button. Here is how the Influent BOD given Volume of Aeration Tank calculation can be explained with given input values -> 480 = 0.0004+((9*1.2*(1+3.47222222222222E-05*432000))/(0.5*10*432000)).

FAQ

What is Influent BOD given Volume of Aeration Tank?
The Influent BOD given Volume of Aeration Tank is defined as the influent BOD when we have prior information of other parameters used and is represented as Qi = Qo+((V*X*(1+Kec))/(Y*Qsc)) or Influent BOD = Effluent BOD+((Volume of Tank*MLSS*(1+Endogenous Respiration Rate Constant*Sludge Age))/(Maximum Yield Coefficient*Sewage Discharge*Sludge Age)). Effluent BOD is the amount of BOD present in the outing 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 Influent BOD given Volume of Aeration Tank?
The Influent BOD given Volume of Aeration Tank is defined as the influent BOD when we have prior information of other parameters used is calculated using Influent BOD = Effluent BOD+((Volume of Tank*MLSS*(1+Endogenous Respiration Rate Constant*Sludge Age))/(Maximum Yield Coefficient*Sewage Discharge*Sludge Age)). To calculate Influent BOD given Volume of Aeration Tank, you need Effluent BOD (Qo), Volume of Tank (V), MLSS (X), Endogenous Respiration Rate Constant (Ke), Sludge Age c), Maximum Yield Coefficient (Y) & Sewage Discharge (Qs). With our tool, you need to enter the respective value for Effluent 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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