Sewage Discharge given Volume of Aeration Tank Solution

STEP 0: Pre-Calculation Summary
Formula Used
Sewage Discharge = Volume of Tank/((Maximum Yield Coefficient*(Influent BOD-Effluent BOD)*Sludge Age)/(MLSS*(1+Endogenous Respiration Rate Constant*Sludge Age)))
Qs = V/((Y*(Qi-Qo)*θc)/(X*(1+Ke*θc)))
This formula uses 8 Variables
Variables Used
Sewage Discharge - (Measured in Cubic Meter per Second) - Sewage discharge is the flow rate of sewage when it is being discharged in the river.
Volume of Tank - (Measured in Cubic Meter) - Volume of tank is defined as the capacity of flocculation and mixing tank.
Maximum Yield Coefficient - Maximum Yield Coefficient Y represents the maximum mg of cells produced per mg organic matter removed.
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.
Sludge Age - (Measured in Second) - Sludge Age is the average time for which the particle of suspended solids remains in aeration.
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.
STEP 1: Convert Input(s) to Base Unit
Volume of Tank: 9 Cubic Meter --> 9 Cubic Meter No Conversion Required
Maximum Yield Coefficient: 0.5 --> No Conversion Required
Influent BOD: 0.48 Milligram per Liter --> 0.00048 Kilogram per Cubic Meter (Check conversion here)
Effluent BOD: 0.4 Milligram per Liter --> 0.0004 Kilogram per Cubic Meter (Check conversion here)
Sludge Age: 5 Day --> 432000 Second (Check conversion here)
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)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Qs = V/((Y*(Qi-Qo)*θc)/(X*(1+Kec))) --> 9/((0.5*(0.00048-0.0004)*432000)/(1.2*(1+3.47222222222222E-05*432000)))
Evaluating ... ...
Qs = 10
STEP 3: Convert Result to Output's Unit
10 Cubic Meter per Second --> No Conversion Required
FINAL ANSWER
10 Cubic Meter per Second <-- Sewage Discharge
(Calculation completed in 00.019 seconds)

Credits

Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
Suraj Kumar has created this Calculator and 2200+ more calculators!
Verified by Ishita Goyal
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))

Sewage Discharge given Volume of Aeration Tank Formula

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

What is sewage ?

Sewage, or domestic/municipal wastewater, is a type of wastewater that is produced by a community of people. ... Sewage usually travels from a building's plumbing either into a sewer, which will carry it elsewhere, or into an onsite sewage facility (of which there are many kinds).

How to Calculate Sewage Discharge given Volume of Aeration Tank?

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

How to calculate Sewage Discharge given Volume of Aeration Tank using this online calculator? To use this online calculator for Sewage Discharge given Volume of Aeration Tank, enter Volume of Tank (V), Maximum Yield Coefficient (Y), Influent BOD (Qi), Effluent BOD (Qo), Sludge Age c), MLSS (X) & Endogenous Respiration Rate Constant (Ke) and hit the calculate button. Here is how the Sewage Discharge given Volume of Aeration Tank calculation can be explained with given input values -> 0.074074 = 9/((0.5*(0.00048-0.0004)*432000)/(1.2*(1+3.47222222222222E-05*432000))).

FAQ

What is Sewage Discharge given Volume of Aeration Tank?
The Sewage Discharge given Volume of Aeration Tank is defined as the sewage discharge when we have prior information of other parameters used and is represented as Qs = V/((Y*(Qi-Qo)*θc)/(X*(1+Kec))) or Sewage Discharge = Volume of Tank/((Maximum Yield Coefficient*(Influent BOD-Effluent BOD)*Sludge Age)/(MLSS*(1+Endogenous Respiration Rate Constant*Sludge Age))). Volume of tank is defined as the capacity of flocculation and mixing tank, Maximum Yield Coefficient Y represents the maximum mg of cells produced per mg organic matter removed, Influent BOD is the total amount of BOD which is present in the incoming sewage, Effluent BOD is the amount of BOD present in the outing sewage, Sludge Age is the average time for which the particle of suspended solids remains in aeration, 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.
How to calculate Sewage Discharge given Volume of Aeration Tank?
The Sewage Discharge given Volume of Aeration Tank is defined as the sewage discharge when we have prior information of other parameters used is calculated using Sewage Discharge = Volume of Tank/((Maximum Yield Coefficient*(Influent BOD-Effluent BOD)*Sludge Age)/(MLSS*(1+Endogenous Respiration Rate Constant*Sludge Age))). To calculate Sewage Discharge given Volume of Aeration Tank, you need Volume of Tank (V), Maximum Yield Coefficient (Y), Influent BOD (Qi), Effluent BOD (Qo), Sludge Age c), MLSS (X) & Endogenous Respiration Rate Constant (Ke). With our tool, you need to enter the respective value for Volume of Tank, Maximum Yield Coefficient, Influent BOD, Effluent BOD, Sludge Age, MLSS & Endogenous Respiration Rate Constant 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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