Sewage Discharge given Volume of Aeration Tank Calculator

✖Volume of Tank is defined as the capacity of flocculation and mixing tank.ⓘ Volume of Tank [V]			+10% -10%
✖Maximum Yield Coefficient Y represents the maximum mg of cells produced per mg organic matter removed.ⓘ Maximum Yield Coefficient [Y]			+10% -10%
✖Influent BOD is the total amount of BOD which is present in the incoming sewage.ⓘ Influent BOD [Q_i]			+10% -10%
✖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.ⓘ Effluent BOD [Q_o]			+10% -10%
✖Sludge Age is the average time for which the particle of suspended solids remains in aeration.ⓘ Sludge Age [θ_c]			+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%

✖Sewage discharge is the flow rate of sewage when it is being discharged into the water body.ⓘ Sewage Discharge given Volume of Aeration Tank [Q_s]

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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)))
Q_s = V/((Y*(Q_i-Q_o)*θ_c)/(X*(1+K^e*θ_c)))
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 into the water body.
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 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.
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

Q_s = V/((Y*(Q_i-Q_o)*θ_c)/(X*(1+K^e*θ_c))) --> 9/((0.5*(0.00048-0.0004)*432000)/(1.2*(1+3.47222222222222E-05*432000)))

Evaluating ... ...

Q_s = 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 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2100+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< Size and Volume of the Aeration Tank Calculators

Maximum Yield Coefficient given Volume of Aeration Tank

LaTeX 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

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

MLSS given volume of Aeration Tank

LaTeX 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

LaTeX 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

LaTeX Go

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 formula is defined as the calculation of sewage discharge when we have prior information of volume of aeration tank. Sewage Discharge is denoted by Q_s 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 (Q_i), Effluent BOD (Q_o), Sludge Age (θ_c), MLSS (X) & Endogenous Respiration Rate Constant (K^e) and hit the calculate button. Here is how the Sewage Discharge given Volume of Aeration Tank calculation can be explained with given input values -> 10 = 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 formula is defined as the calculation of sewage discharge when we have prior information of volume of aeration tank and is represented as Q_s = V/((Y*(Q_i-Q_o)*θ_c)/(X*(1+K^e*θ_c))) 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 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, 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 formula is defined as the calculation of sewage discharge when we have prior information of volume of aeration tank 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 (Q_i), Effluent BOD (Q_o), Sludge Age (θ_c), MLSS (X) & Endogenous Respiration Rate Constant (K^e). 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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