Mass of Wasted Activated Sludge Calculator

✖Maximum Yield Coefficient Y represents the maximum mg of cells produced per mg organic matter removed.ⓘ Maximum Yield Coefficient [Y]			+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%
✖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%

✖Mass of solids means the actuall weight of the solid particle present in the sewage.ⓘ Mass of Wasted Activated Sludge [M_s]

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Formula

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Mass of Wasted Activated Sludge

Formula

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

Example

`"53.625g"=("0.5"*"10m³/s"*("11.2mg/L"-"0.4mg/L"))-("3d⁻¹"*"9m³"*"1200mg/L")`

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Mass of Wasted Activated Sludge Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Mass of Solids - (Measured in Kilogram) - Mass of solids means the actuall weight of the solid particle present in the sewage.
Maximum Yield Coefficient - Maximum Yield Coefficient Y represents 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.
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.
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).

STEP 1: Convert Input(s) to Base Unit

Maximum Yield Coefficient: 0.5 --> No Conversion Required
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)
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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_s = (Y*Q_s*(Q_i-Q_o))-(K^e*V*X) --> (0.5*10*(0.0112-0.0004))-(3.47222222222222E-05*9*1.2)

Evaluating ... ...

M_s = 0.053625

STEP 3: Convert Result to Output's Unit

0.053625 Kilogram -->53.625 Gram (Check conversion here)

FINAL ANSWER

53.625 Gram <-- Mass of Solids

(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 2200+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< 3 Sludge Age Calculators

Mass of Wasted Activated Sludge

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

Reciprocal of Sludge Age

Go Reciprocal of sludge age = (Maximum Yield Coefficient*Specific Substrate Utilisation Rate)-Endogenous Respiration Rate Constant

Mass of Substrate Utilised given Maximum Yield Coefficient

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

Mass of Wasted Activated Sludge Formula

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

What is activated sludge ?

The activated sludge process is a type of wastewater treatment process for treating sewage or industrial wastewaters using aeration and a biological floc composed of bacteria and protozoa.

How to Calculate Mass of Wasted Activated Sludge?

Mass of Wasted Activated Sludge calculator uses Mass of Solids = (Maximum Yield Coefficient*Sewage Discharge*(Influent BOD-Effluent BOD))-(Endogenous Respiration Rate Constant*Volume of Tank*MLSS) to calculate the Mass of Solids, The Mass of Wasted Activated Sludge calculates the mass of wasted activated sludge when we have prior information of other parameters used. Mass of Solids is denoted by M_s symbol.

How to calculate Mass of Wasted Activated Sludge using this online calculator? To use this online calculator for Mass of Wasted Activated Sludge, enter Maximum Yield Coefficient (Y), Sewage Discharge (Q_s), Influent BOD (Q_i), Effluent BOD (Q_o), Endogenous Respiration Rate Constant (K^e), Volume of Tank (V) & MLSS (X) and hit the calculate button. Here is how the Mass of Wasted Activated Sludge calculation can be explained with given input values -> 53625 = (0.5*10*(0.0112-0.0004))-(3.47222222222222E-05*9*1.2).

FAQ

What is Mass of Wasted Activated Sludge?

The Mass of Wasted Activated Sludge calculates the mass of wasted activated sludge when we have prior information of other parameters used and is represented as M_s = (Y*Q_s*(Q_i-Q_o))-(K^e*V*X) or Mass of Solids = (Maximum Yield Coefficient*Sewage Discharge*(Influent BOD-Effluent BOD))-(Endogenous Respiration Rate Constant*Volume of Tank*MLSS). Maximum Yield Coefficient Y represents 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, 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, 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).

How to calculate Mass of Wasted Activated Sludge?

The Mass of Wasted Activated Sludge calculates the mass of wasted activated sludge when we have prior information of other parameters used is calculated using Mass of Solids = (Maximum Yield Coefficient*Sewage Discharge*(Influent BOD-Effluent BOD))-(Endogenous Respiration Rate Constant*Volume of Tank*MLSS). To calculate Mass of Wasted Activated Sludge, you need Maximum Yield Coefficient (Y), Sewage Discharge (Q_s), Influent BOD (Q_i), Effluent BOD (Q_o), Endogenous Respiration Rate Constant (K^e), Volume of Tank (V) & MLSS (X). With our tool, you need to enter the respective value for Maximum Yield Coefficient, Sewage Discharge, Influent BOD, Effluent BOD, Endogenous Respiration Rate Constant, Volume of Tank & MLSS 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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