Sewage Inflow Per Day given Mass of Wasted Activated Sludge Solution

STEP 0: Pre-Calculation Summary
Formula Used
Sewage Discharge = (Mass of Wasted Activated Sludge+(Endogenous Respiration Rate Constant*Volume of Tank*Mixed Liquor Suspended Solids))/(Maximum Yield Coefficient*(Influent BOD-Effluent BOD))
Qs = (Mws+(Ke*V*X'))/(Y*(Qi-Qo))
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
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
Influent BOD: 11.2 Milligram per Liter --> 0.0112 Kilogram per Cubic Meter (Check conversion ​here)
Effluent BOD: 0.4 Milligram per Liter --> 0.0004 Kilogram per Cubic Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Qs = (Mws+(Ke*V*X'))/(Y*(Qi-Qo)) --> (0.053626+(3.46064814814815E-05*9*1.2))/(0.5*(0.0112-0.0004))
Evaluating ... ...
Qs = 9.9999537037037
STEP 3: Convert Result to Output's Unit
9.9999537037037 Cubic Meter per Second --> No Conversion Required
FINAL ANSWER
9.9999537037037 9.999954 Cubic Meter per Second <-- Sewage Discharge
(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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Sewage Inflow Calculators

Sewage Inflow Per Day given Sludge Age
​ LaTeX ​ Go Sewage Discharge = (((Volume of Tank*Mixed Liquor Suspended Solids)/Sludge Age)-(Volume of Wasted Sludge per day*(Concentration of Solids in Returned Sludge-Concentration of Solids in Effluent)))/Concentration of Solids in Effluent
Sewage Inflow Per Day given Mass of Wasted Activated Sludge
​ LaTeX ​ Go Sewage Discharge = (Mass of Wasted Activated Sludge+(Endogenous Respiration Rate Constant*Volume of Tank*Mixed Liquor Suspended Solids))/(Maximum Yield Coefficient*(Influent BOD-Effluent BOD))
Sewage Inflow Per Day given Total Solids Removed
​ LaTeX ​ Go Sewage Discharge = (Mass of Solids Leaving the System-(Volume of Wasted Sludge per day*(Concentration of Solids in Returned Sludge-Concentration of Solids in Effluent)))/Concentration of Solids in Effluent
Sewage Inflow Per Day given Mass of Solids Removed
​ LaTeX ​ Go Sewage Discharge = (Mass of Solids/Concentration of Solids in Effluent)+Volume of Wasted Sludge per day

Sewage Inflow Per Day given Mass of Wasted Activated Sludge Formula

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

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 Inflow Per Day given Mass of Wasted Activated Sludge?

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

How to calculate Sewage Inflow Per Day given Mass of Wasted Activated Sludge using this online calculator? To use this online calculator for Sewage Inflow Per Day given Mass of Wasted Activated Sludge, enter Mass of Wasted Activated Sludge (Mws), Endogenous Respiration Rate Constant (Ke), Volume of Tank (V), Mixed Liquor Suspended Solids (X'), Maximum Yield Coefficient (Y), Influent BOD (Qi) & Effluent BOD (Qo) and hit the calculate button. Here is how the Sewage Inflow Per Day given Mass of Wasted Activated Sludge calculation can be explained with given input values -> 9.999954 = (0.053626+(3.46064814814815E-05*9*1.2))/(0.5*(0.0112-0.0004)).

FAQ

What is Sewage Inflow Per Day given Mass of Wasted Activated Sludge?
The Sewage Inflow Per Day given Mass of Wasted Activated Sludge formula is defined as the calculation of sewage inflow per day when we have prior information of mass of wasted activated sludge and is represented as Qs = (Mws+(Ke*V*X'))/(Y*(Qi-Qo)) or Sewage Discharge = (Mass of Wasted Activated Sludge+(Endogenous Respiration Rate Constant*Volume of Tank*Mixed Liquor Suspended Solids))/(Maximum Yield Coefficient*(Influent BOD-Effluent BOD)). 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, 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.
How to calculate Sewage Inflow Per Day given Mass of Wasted Activated Sludge?
The Sewage Inflow Per Day given Mass of Wasted Activated Sludge formula is defined as the calculation of sewage inflow per day when we have prior information of mass of wasted activated sludge is calculated using Sewage Discharge = (Mass of Wasted Activated Sludge+(Endogenous Respiration Rate Constant*Volume of Tank*Mixed Liquor Suspended Solids))/(Maximum Yield Coefficient*(Influent BOD-Effluent BOD)). To calculate Sewage Inflow Per Day given Mass of Wasted Activated Sludge, you need Mass of Wasted Activated Sludge (Mws), Endogenous Respiration Rate Constant (Ke), Volume of Tank (V), Mixed Liquor Suspended Solids (X'), Maximum Yield Coefficient (Y), Influent BOD (Qi) & Effluent BOD (Qo). With our tool, you need to enter the respective value for Mass of Wasted Activated Sludge, Endogenous Respiration Rate Constant, Volume of Tank, Mixed Liquor Suspended Solids, Maximum Yield Coefficient, Influent BOD & Effluent BOD and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Sewage Discharge?
In this formula, Sewage Discharge uses Mass of Wasted Activated Sludge, Endogenous Respiration Rate Constant, Volume of Tank, Mixed Liquor Suspended Solids, Maximum Yield Coefficient, Influent BOD & Effluent BOD. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Sewage Discharge = (Mass of Solids/Concentration of Solids in Effluent)+Volume of Wasted Sludge per day
  • Sewage Discharge = (Mass of Solids Leaving the System-(Volume of Wasted Sludge per day*(Concentration of Solids in Returned Sludge-Concentration of Solids in Effluent)))/Concentration of Solids in Effluent
  • Sewage Discharge = (((Volume of Tank*Mixed Liquor Suspended Solids)/Sludge Age)-(Volume of Wasted Sludge per day*(Concentration of Solids in Returned Sludge-Concentration of Solids in Effluent)))/Concentration of Solids in Effluent
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