Maximum Yield Coefficient given Mass of Wasted Activated Sludge Calculator

✖Mass of Solids means the actual weight of the solid particle present in the sewage.ⓘ Mass of Solids [M_s]			+10% -10%
✖Endogenous Respiration Rate Constant is used for designing a complete-mix activated-sludge system.ⓘ Endogenous Respiration Rate Constant [K^e]			+10% -10%
✖Volume of tank is defined as the capacity of flocculation and mixing tank.ⓘ Volume of Tank [V]			+10% -10%
✖MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics).ⓘ MLSS [X]			+10% -10%
✖Sewage discharge is the flow rate of sewage when it is being discharged in the river.ⓘ Sewage Discharge [Q_s]			+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 BOD present in the outing sewage.ⓘ Effluent BOD [Q_o]			+10% -10%

✖Maximum Yield Coefficient Y represents the maximum mg of cells produced per mg organic matter removed.ⓘ Maximum Yield Coefficient given Mass of Wasted Activated Sludge [Y]

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Formula

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Maximum Yield Coefficient given Mass of Wasted Activated Sludge

Formula

`"Y" = ("M"_{"s"}+("K"^{"e"}*"V"*"X"))/("Q"_{"s"}*("Q"_{"i"}-"Q"_{"o"}))`

Example

`"0.512731"=("55g"+("3d⁻¹"*"9m³"*"1200mg/L"))/("10m³/s"*("11.2mg/L"-"0.4mg/L"))`

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Maximum Yield Coefficient given Mass of Wasted Activated Sludge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Yield Coefficient = (Mass of Solids+(Endogenous Respiration Rate Constant*Volume of Tank*MLSS))/(Sewage Discharge*(Influent BOD-Effluent BOD))
Y = (M_s+(K^e*V*X))/(Q_s*(Q_i-Q_o))
This formula uses 8 Variables

Variables Used

Maximum Yield Coefficient - Maximum Yield Coefficient Y represents the maximum mg of cells produced per mg organic matter removed.
Mass of Solids - (Measured in Kilogram) - Mass of Solids means the actual weight of the solid particle present in the sewage.
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.
MLSS - (Measured in Kilogram per Cubic Meter) - MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics).
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 Solids: 55 Gram --> 0.055 Kilogram (Check conversion here)
Endogenous Respiration Rate Constant: 3 1 Per Day --> 3.47222222222222E-05 1 Per Second (Check conversion here)
Volume of Tank: 9 Cubic Meter --> 9 Cubic Meter No Conversion Required
MLSS: 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 = (M_s+(K^e*V*X))/(Q_s*(Q_i-Q_o)) --> (0.055+(3.47222222222222E-05*9*1.2))/(10*(0.0112-0.0004))

Evaluating ... ...

Y = 0.512731481481481

STEP 3: Convert Result to Output's Unit

0.512731481481481 --> No Conversion Required

FINAL ANSWER

0.512731481481481 ≈ 0.512731 <-- Maximum Yield Coefficient

(Calculation completed in 00.004 seconds)

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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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< 3 Maximum Yield Coefficient Calculators

Maximum Yield Coefficient given Mass of Wasted Activated Sludge

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

Maximum Yield Coefficient given Sludge Age

Go Maximum Yield Coefficient = ((1/Sludge Age)+Endogenous Respiration Rate Constant)/Specific Substrate Utilisation Rate

Microbial Mass Synthesis given Maximum Yield Coefficient

Go Total Microbial Mass = Maximum Yield Coefficient*Mass of substrate utilised

Maximum Yield Coefficient given Mass of Wasted Activated Sludge Formula

Maximum Yield Coefficient = (Mass of Solids+(Endogenous Respiration Rate Constant*Volume of Tank*MLSS))/(Sewage Discharge*(Influent BOD-Effluent BOD))
Y = (M_s+(K^e*V*X))/(Q_s*(Q_i-Q_o))

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 Solids+(Endogenous Respiration Rate Constant*Volume of Tank*MLSS))/(Sewage Discharge*(Influent BOD-Effluent BOD)) to calculate the Maximum Yield Coefficient, The Maximum Yield Coefficient given Mass of Wasted Activated Sludge 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 Solids (M_s), Endogenous Respiration Rate Constant (K^e), Volume of Tank (V), MLSS (X), Sewage Discharge (Q_s), Influent BOD (Q_i) & Effluent BOD (Q_o) 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 -> 0.28125 = (0.055+(3.47222222222222E-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 is defined as the difference between initial biomass and maximum biomass at end of growth phase and is represented as Y = (M_s+(K^e*V*X))/(Q_s*(Q_i-Q_o)) or Maximum Yield Coefficient = (Mass of Solids+(Endogenous Respiration Rate Constant*Volume of Tank*MLSS))/(Sewage Discharge*(Influent BOD-Effluent BOD)). Mass of Solids means the actual weight of the solid particle present in the sewage, 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, MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics), 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 is defined as the difference between initial biomass and maximum biomass at end of growth phase is calculated using Maximum Yield Coefficient = (Mass of Solids+(Endogenous Respiration Rate Constant*Volume of Tank*MLSS))/(Sewage Discharge*(Influent BOD-Effluent BOD)). To calculate Maximum Yield Coefficient given Mass of Wasted Activated Sludge, you need Mass of Solids (M_s), Endogenous Respiration Rate Constant (K^e), Volume of Tank (V), MLSS (X), Sewage Discharge (Q_s), Influent BOD (Q_i) & Effluent BOD (Q_o). With our tool, you need to enter the respective value for Mass of Solids, Endogenous Respiration Rate Constant, Volume of Tank, MLSS, 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 Solids, Endogenous Respiration Rate Constant, Volume of Tank, MLSS, 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 Utilisation Rate

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