Maximum Yield Coefficient given Mass of Wasted Activated Sludge Solution

STEP 0: Pre-Calculation Summary
Formula Used
Maximum Yield Coefficient = (Mass of Wasted Activated Sludge+(Endogenous Respiration Rate Constant*Volume of Tank*Mixed Liquor Suspended Solids))/(Sewage Discharge*(Influent BOD-Effluent BOD))
Y = (Mws+(Ke*V*X'))/(Qs*(Qi-Qo))
This formula uses 8 Variables
Variables Used
Maximum Yield Coefficient - Maximum Yield Coefficient is the maximum mg of cells produced per mg organic matter removed.
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.
Sewage Discharge - (Measured in Cubic Meter per Second) - Sewage Discharge is the flow rate of sewage when it is being discharged in the river.
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)
Sewage Discharge: 10 Cubic Meter per Second --> 10 Cubic Meter per Second 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
Y = (Mws+(Ke*V*X'))/(Qs*(Qi-Qo)) --> (0.053626+(3.46064814814815E-05*9*1.2))/(10*(0.0112-0.0004))
Evaluating ... ...
Y = 0.499997685185185
STEP 3: Convert Result to Output's Unit
0.499997685185185 --> No Conversion Required
FINAL ANSWER
0.499997685185185 0.499998 <-- Maximum Yield Coefficient
(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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Maximum Yield Coefficient given Mass of Wasted Activated Sludge Formula

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

Maximum Yield Coefficient given Mass of Wasted Activated Sludge calculator uses Maximum Yield Coefficient = (Mass of Wasted Activated Sludge+(Endogenous Respiration Rate Constant*Volume of Tank*Mixed Liquor Suspended Solids))/(Sewage Discharge*(Influent BOD-Effluent BOD)) to calculate the Maximum Yield Coefficient, The Maximum Yield Coefficient given Mass of Wasted Activated Sludge formula is defined as the difference between initial biomass and maximum biomass at end of growth phase . Maximum Yield Coefficient is denoted by Y symbol.

How to calculate Maximum Yield Coefficient given Mass of Wasted Activated Sludge using this online calculator? To use this online calculator for Maximum Yield Coefficient 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'), Sewage Discharge (Qs), Influent BOD (Qi) & Effluent BOD (Qo) and hit the calculate button. Here is how the Maximum Yield Coefficient given Mass of Wasted Activated Sludge calculation can be explained with given input values -> 0.499998 = (0.053626+(3.46064814814815E-05*9*1.2))/(10*(0.0112-0.0004)).

FAQ

What is Maximum Yield Coefficient given Mass of Wasted Activated Sludge?
The Maximum Yield Coefficient given Mass of Wasted Activated Sludge formula is defined as the difference between initial biomass and maximum biomass at end of growth phase and is represented as Y = (Mws+(Ke*V*X'))/(Qs*(Qi-Qo)) or Maximum Yield Coefficient = (Mass of Wasted Activated Sludge+(Endogenous Respiration Rate Constant*Volume of Tank*Mixed Liquor Suspended Solids))/(Sewage Discharge*(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, Sewage Discharge is the flow rate of sewage when it is being discharged in the river, 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 Maximum Yield Coefficient given Mass of Wasted Activated Sludge?
The Maximum Yield Coefficient given Mass of Wasted Activated Sludge formula is defined as the difference between initial biomass and maximum biomass at end of growth phase is calculated using Maximum Yield Coefficient = (Mass of Wasted Activated Sludge+(Endogenous Respiration Rate Constant*Volume of Tank*Mixed Liquor Suspended Solids))/(Sewage Discharge*(Influent BOD-Effluent BOD)). To calculate Maximum Yield Coefficient 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'), Sewage Discharge (Qs), 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, Sewage Discharge, 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 Maximum Yield Coefficient?
In this formula, Maximum Yield Coefficient uses Mass of Wasted Activated Sludge, Endogenous Respiration Rate Constant, Volume of Tank, Mixed Liquor Suspended Solids, Sewage Discharge, Influent BOD & Effluent BOD. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Maximum Yield Coefficient = ((1/Sludge Age)+Endogenous Respiration Rate Constant)/Specific Substrate Utilization Rate
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