Effluent BOD given Mass of Wasted Activated Sludge Solution

STEP 0: Pre-Calculation Summary
Formula Used
Effluent BOD = Influent BOD-((Mass of Wasted Activated Sludge+(Endogenous Respiration Rate Constant*Volume of Tank*Mixed Liquor Suspended Solids))/(Maximum Yield Coefficient*Sewage Discharge))
Qo = Qi-((Mws+(Ke*V*X'))/(Y*Qs))
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.
Mass of Wasted Activated Sludge - (Measured in Kilogram) - Mass of Wasted Activated Sludge is the total mass of sludge that is removed from the wastewater treatment process, specifically from the activated sludge system.
Endogenous Respiration Rate Constant - (Measured in 1 Per Second) - Endogenous Respiration Rate Constant is used for designing a complete-mix activated-sludge system.
Volume of Tank - (Measured in Cubic Meter) - Volume of Tank is defined as the capacity of flocculation and mixing tank.
Mixed Liquor Suspended Solids - (Measured in Kilogram per Cubic Meter) - Mixed Liquor Suspended Solids is the concentration of suspended solids in the mixed liquor of an aeration tank during the activated sludge process.
Maximum Yield Coefficient - Maximum Yield Coefficient is 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: 11.2 Milligram per Liter --> 0.0112 Kilogram per Cubic Meter (Check conversion ​here)
Mass of Wasted Activated Sludge: 53626 Milligram --> 0.053626 Kilogram (Check conversion ​here)
Endogenous Respiration Rate Constant: 2.99 1 Per Day --> 3.46064814814815E-05 1 Per Second (Check conversion ​here)
Volume of Tank: 9 Cubic Meter --> 9 Cubic Meter No Conversion Required
Mixed Liquor Suspended Solids: 1200 Milligram per Liter --> 1.2 Kilogram per Cubic Meter (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
Qo = Qi-((Mws+(Ke*V*X'))/(Y*Qs)) --> 0.0112-((0.053626+(3.46064814814815E-05*9*1.2))/(0.5*10))
Evaluating ... ...
Qo = 0.000400050000000001
STEP 3: Convert Result to Output's Unit
0.000400050000000001 Kilogram per Cubic Meter -->0.400050000000001 Milligram per Liter (Check conversion ​here)
FINAL ANSWER
0.400050000000001 0.40005 Milligram per Liter <-- Effluent BOD
(Calculation completed in 00.004 seconds)

Credits

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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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Influent and Effluent BOD Calculators

Influent BOD given Mass of Wasted Activated Sludge
​ LaTeX ​ Go Influent BOD = ((Mass of Wasted Activated Sludge+(Endogenous Respiration Rate Constant*Volume of Tank*Mixed Liquor Suspended Solids))/(Maximum Yield Coefficient*Sewage Discharge))+Effluent BOD
Effluent BOD given Mass of Wasted Activated Sludge
​ LaTeX ​ Go Effluent BOD = Influent BOD-((Mass of Wasted Activated Sludge+(Endogenous Respiration Rate Constant*Volume of Tank*Mixed Liquor Suspended Solids))/(Maximum Yield Coefficient*Sewage Discharge))
Influent BOD given Specific Substrate Utilization Rate Per Day
​ LaTeX ​ Go Influent BOD given Substrate Utilization Rate = ((Specific Substrate Utilization Rate*Volume of Tank*Mixed Liquor Suspended Solids)/Sewage Discharge)+Effluent BOD

Effluent BOD given Mass of Wasted Activated Sludge Formula

​LaTeX ​Go
Effluent BOD = Influent BOD-((Mass of Wasted Activated Sludge+(Endogenous Respiration Rate Constant*Volume of Tank*Mixed Liquor Suspended Solids))/(Maximum Yield Coefficient*Sewage Discharge))
Qo = Qi-((Mws+(Ke*V*X'))/(Y*Qs))

What is Effluent BOD?

BOD of wastewater effluents is used to indicate the short-term impact on the oxygen levels of the receiving water. BOD analysis is similar in function to chemical oxygen demand (COD) analysis, in that both measure the amount of organic compounds in water.

How to Calculate Effluent BOD given Mass of Wasted Activated Sludge?

Effluent BOD given Mass of Wasted Activated Sludge calculator uses Effluent BOD = Influent BOD-((Mass of Wasted Activated Sludge+(Endogenous Respiration Rate Constant*Volume of Tank*Mixed Liquor Suspended Solids))/(Maximum Yield Coefficient*Sewage Discharge)) to calculate the Effluent BOD, The Effluent BOD given Mass of Wasted Activated Sludge formula is defined as the calculation of effluent BOD when we have prior information of mass of wasted activated sludge. Effluent BOD is denoted by Qo symbol.

How to calculate Effluent BOD given Mass of Wasted Activated Sludge using this online calculator? To use this online calculator for Effluent BOD given Mass of Wasted Activated Sludge, enter Influent BOD (Qi), Mass of Wasted Activated Sludge (Mws), Endogenous Respiration Rate Constant (Ke), Volume of Tank (V), Mixed Liquor Suspended Solids (X'), Maximum Yield Coefficient (Y) & Sewage Discharge (Qs) and hit the calculate button. Here is how the Effluent BOD given Mass of Wasted Activated Sludge calculation can be explained with given input values -> 400.05 = 0.0112-((0.053626+(3.46064814814815E-05*9*1.2))/(0.5*10)).

FAQ

What is Effluent BOD given Mass of Wasted Activated Sludge?
The Effluent BOD given Mass of Wasted Activated Sludge formula is defined as the calculation of effluent BOD when we have prior information of mass of wasted activated sludge and is represented as Qo = Qi-((Mws+(Ke*V*X'))/(Y*Qs)) or Effluent BOD = Influent BOD-((Mass of Wasted Activated Sludge+(Endogenous Respiration Rate Constant*Volume of Tank*Mixed Liquor Suspended Solids))/(Maximum Yield Coefficient*Sewage Discharge)). Influent BOD is the total amount of BOD which is present in the incoming sewage, Mass of Wasted Activated Sludge is the total mass of sludge that is removed from the wastewater treatment process, specifically from the activated sludge system, Endogenous Respiration Rate Constant is used for designing a complete-mix activated-sludge system, Volume of Tank is defined as the capacity of flocculation and mixing tank, Mixed Liquor Suspended Solids is the concentration of suspended solids in the mixed liquor of an aeration tank during the activated sludge process, Maximum Yield Coefficient is 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 Mass of Wasted Activated Sludge?
The Effluent BOD given Mass of Wasted Activated Sludge formula is defined as the calculation of effluent BOD when we have prior information of mass of wasted activated sludge is calculated using Effluent BOD = Influent BOD-((Mass of Wasted Activated Sludge+(Endogenous Respiration Rate Constant*Volume of Tank*Mixed Liquor Suspended Solids))/(Maximum Yield Coefficient*Sewage Discharge)). To calculate Effluent BOD given Mass of Wasted Activated Sludge, you need Influent BOD (Qi), Mass of Wasted Activated Sludge (Mws), Endogenous Respiration Rate Constant (Ke), Volume of Tank (V), Mixed Liquor Suspended Solids (X'), Maximum Yield Coefficient (Y) & Sewage Discharge (Qs). With our tool, you need to enter the respective value for Influent BOD, Mass of Wasted Activated Sludge, Endogenous Respiration Rate Constant, Volume of Tank, Mixed Liquor Suspended Solids, 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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