Mass of Wasted Activated Sludge Calculator

✖Maximum Yield Coefficient is 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%
✖Mixed Liquor Suspended Solids is the concentration of suspended solids in the mixed liquor of an aeration tank during the activated sludge process.ⓘ Mixed Liquor Suspended Solids [X^']			+10% -10%

✖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.ⓘ Mass of Wasted Activated Sludge [M_ws]

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Mass of Wasted Activated Sludge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mass of Wasted Activated Sludge = (Maximum Yield Coefficient*Sewage Discharge*(Influent BOD-Effluent BOD))-(Endogenous Respiration Rate Constant*Volume of Tank*Mixed Liquor Suspended Solids)
M_ws = (Y*Q_s*(Q_i-Q_o))-(K^e*V*X^')
This formula uses 8 Variables

Variables Used

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.
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.
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.
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.

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: 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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_ws = (Y*Q_s*(Q_i-Q_o))-(K^e*V*X^') --> (0.5*10*(0.0112-0.0004))-(3.46064814814815E-05*9*1.2)

Evaluating ... ...

M_ws = 0.05362625

STEP 3: Convert Result to Output's Unit

0.05362625 Kilogram -->53626.25 Milligram (Check conversion here)

FINAL ANSWER

53626.25 Milligram <-- Mass of Wasted Activated Sludge

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< Sludge Age Calculators

Mass of Wasted Activated Sludge

LaTeX Go Mass of Wasted Activated Sludge = (Maximum Yield Coefficient*Sewage Discharge*(Influent BOD-Effluent BOD))-(Endogenous Respiration Rate Constant*Volume of Tank*Mixed Liquor Suspended Solids)

Mass of Substrate Utilized given Maximum Yield Coefficient

LaTeX Go Mass of Substrate Utilized = Total Microbial Mass/Maximum Yield Coefficient

< Important Formulas of Sludge Age Calculators

Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge

LaTeX Go Endogenous Respiration Rate Constant = ((Maximum Yield Coefficient*Sewage Discharge*(Influent BOD-Effluent BOD))-Mass of Wasted Activated Sludge)/(Mixed Liquor Suspended Solids*Volume of Tank)

Mass of Wasted Activated Sludge

LaTeX Go Mass of Wasted Activated Sludge = (Maximum Yield Coefficient*Sewage Discharge*(Influent BOD-Effluent BOD))-(Endogenous Respiration Rate Constant*Volume of Tank*Mixed Liquor Suspended Solids)

Concentration of Solids in Returned Sludge given MLSS

LaTeX Go Concentration of Solids given MLSS = (Mixed Liquor Suspended Solids*Volume of Tank)/(Volume of Wasted Sludge per day*Sludge Age)

Endogenous Respiration Rate Constant given Maximum Yield Coefficient

LaTeX Go Endogenous Respiration Constant = (Maximum Yield Coefficient*Specific Substrate Utilization Rate)-(1/Sludge Age)

Mass of Wasted Activated Sludge Formula

LaTeX Go

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 Wasted Activated Sludge = (Maximum Yield Coefficient*Sewage Discharge*(Influent BOD-Effluent BOD))-(Endogenous Respiration Rate Constant*Volume of Tank*Mixed Liquor Suspended Solids) to calculate the Mass of Wasted Activated Sludge, The Mass of Wasted Activated Sludge formula is defined as the calculation of the mass of wasted activated sludge when we have prior information of other parameters used. Mass of Wasted Activated Sludge is denoted by M_ws 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) & Mixed Liquor Suspended Solids (X^') and hit the calculate button. Here is how the Mass of Wasted Activated Sludge calculation can be explained with given input values -> 5.4E+10 = (0.5*10*(0.0112-0.0004))-(3.46064814814815E-05*9*1.2).

FAQ

What is Mass of Wasted Activated Sludge?

The Mass of Wasted Activated Sludge formula is defined as the calculation of the mass of wasted activated sludge when we have prior information of other parameters used and is represented as M_ws = (Y*Q_s*(Q_i-Q_o))-(K^e*V*X^') or Mass of Wasted Activated Sludge = (Maximum Yield Coefficient*Sewage Discharge*(Influent BOD-Effluent BOD))-(Endogenous Respiration Rate Constant*Volume of Tank*Mixed Liquor Suspended Solids). 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, 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 & Mixed Liquor Suspended Solids is the concentration of suspended solids in the mixed liquor of an aeration tank during the activated sludge process.

How to calculate Mass of Wasted Activated Sludge?

The Mass of Wasted Activated Sludge formula is defined as the calculation of the mass of wasted activated sludge when we have prior information of other parameters used is calculated using Mass of Wasted Activated Sludge = (Maximum Yield Coefficient*Sewage Discharge*(Influent BOD-Effluent BOD))-(Endogenous Respiration Rate Constant*Volume of Tank*Mixed Liquor Suspended Solids). 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) & Mixed Liquor Suspended Solids (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 & Mixed Liquor Suspended Solids 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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