Sludge Age Calculator

✖Mass of Suspended Solids is the weight of the suspended solids present in sewage.ⓘ Mass of Suspended Solids [M_ss]			+10% -10%
✖Mass of Solids Leaving the System is the total mass of solid particles that are discharged or removed from a treatment or processing system over a given period.ⓘ Mass of Solids Leaving the System [M^']			+10% -10%

✖Sludge Age is the average time for which the particle of suspended solids remains in aeration.ⓘ Sludge Age [θ_c]

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Sludge Age Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sludge Age = Mass of Suspended Solids/Mass of Solids Leaving the System
θ_c = M_ss/M^'
This formula uses 3 Variables

Variables Used

Sludge Age - (Measured in Second) - Sludge Age is the average time for which the particle of suspended solids remains in aeration.
Mass of Suspended Solids - (Measured in Kilogram) - Mass of Suspended Solids is the weight of the suspended solids present in sewage.
Mass of Solids Leaving the System - (Measured in Kilogram per Second) - Mass of Solids Leaving the System is the total mass of solid particles that are discharged or removed from a treatment or processing system over a given period.

STEP 1: Convert Input(s) to Base Unit

Mass of Suspended Solids: 20000 Milligram --> 0.02 Kilogram (Check conversion here)
Mass of Solids Leaving the System: 0.004 Kilogram per Day --> 4.62962962962963E-08 Kilogram per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ_c = M_ss/M^' --> 0.02/4.62962962962963E-08

Evaluating ... ...

θ_c = 432000

STEP 3: Convert Result to Output's Unit

432000 Second -->5 Day (Check conversion here)

FINAL ANSWER

5 Day <-- Sludge Age

(Calculation completed in 00.020 seconds)

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Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2100+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< Sludge Age Calculators

Sludge Age given Concentration of Solids

LaTeX Go Sludge Age given Concentration of Solids = (Volume of Tank*MLSS given Sludge Age)/((Volume of Wasted Sludge per day*Concentration of Solids in Returned Sludge)+(Peak Sewage Flow-Volume of Wasted Sludge per day)*Concentration of Solids in Effluent)

Sludge Age given MLSS

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

Sludge Age given Total Solids Removed

LaTeX Go Sludge Age given Total Solids Removed = (Volume of Tank*Concentration of Solids in Effluent)/Mass of Solids Leaving the System

Sludge Age

LaTeX Go Sludge Age = Mass of Suspended Solids/Mass of Solids Leaving the System

< 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)

Sludge Age Formula

LaTeX Go

Sludge Age = Mass of Suspended Solids/Mass of Solids Leaving the System
θ_c = M_ss/M^'

What is Sludge Age?

The common range for sludge age for a conventional activated sludge plant is between 3 and 15 days. For extended aeration activated sludge plants the range is between about 15 and 30 days. Generally during the winter months, higher sludge ages are required to maintain a sufficient biological mass.

How to Calculate Sludge Age?

Sludge Age calculator uses Sludge Age = Mass of Suspended Solids/Mass of Solids Leaving the System to calculate the Sludge Age, The Sludge Age formula is defined as the calculation of the ratio of the total mass of activated sludge in the system to the mass of sludge wasted or removed per day. Sludge Age is denoted by θ_c symbol.

How to calculate Sludge Age using this online calculator? To use this online calculator for Sludge Age, enter Mass of Suspended Solids (M_ss) & Mass of Solids Leaving the System (M^') and hit the calculate button. Here is how the Sludge Age calculation can be explained with given input values -> 1.2E-7 = 0.02/4.62962962962963E-08.

FAQ

What is Sludge Age?

The Sludge Age formula is defined as the calculation of the ratio of the total mass of activated sludge in the system to the mass of sludge wasted or removed per day and is represented as θ_c = M_ss/M^' or Sludge Age = Mass of Suspended Solids/Mass of Solids Leaving the System. Mass of Suspended Solids is the weight of the suspended solids present in sewage & Mass of Solids Leaving the System is the total mass of solid particles that are discharged or removed from a treatment or processing system over a given period.

How to calculate Sludge Age?

The Sludge Age formula is defined as the calculation of the ratio of the total mass of activated sludge in the system to the mass of sludge wasted or removed per day is calculated using Sludge Age = Mass of Suspended Solids/Mass of Solids Leaving the System. To calculate Sludge Age, you need Mass of Suspended Solids (M_ss) & Mass of Solids Leaving the System (M^'). With our tool, you need to enter the respective value for Mass of Suspended Solids & Mass of Solids Leaving the System 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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