Sludge Age given MLSS Solution

STEP 0: Pre-Calculation Summary
Formula Used
Sludge Age given MLSS = (Volume of Tank*Mixed Liquor Suspended Solids)/(Volume of Wasted Sludge per day*Concentration of Solids in Returned Sludge)
θc'' = (V*X')/(Qw*XR)
This formula uses 5 Variables
Variables Used
Sludge Age given MLSS - (Measured in Second) - Sludge Age given MLSS is the average length of time that solids (or sludge) remain in the treatment system before being removed, considering MLSS.
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.
Volume of Wasted Sludge per day - (Measured in Cubic Meter per Second) - Volume of Wasted Sludge per day is the amount of sludge that is removed from a wastewater treatment process within a 24-hour period.
Concentration of Solids in Returned Sludge - (Measured in Kilogram per Cubic Meter) - Concentration of Solids in Returned Sludge is the density of solid particles present in the sludge that is returned from the secondary settling tanks to the aeration tank.
STEP 1: Convert Input(s) to Base Unit
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)
Volume of Wasted Sludge per day: 9.5 Cubic Meter per Second --> 9.5 Cubic Meter per Second No Conversion Required
Concentration of Solids in Returned Sludge: 0.526 Milligram per Liter --> 0.000526 Kilogram per Cubic Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
θc'' = (V*X')/(Qw*XR) --> (9*1.2)/(9.5*0.000526)
Evaluating ... ...
θc'' = 2161.29677806684
STEP 3: Convert Result to Output's Unit
2161.29677806684 Second -->0.0250150090054032 Day (Check conversion ​here)
FINAL ANSWER
0.0250150090054032 0.025015 Day <-- Sludge Age given MLSS
(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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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 given MLSS Formula

​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)
θc'' = (V*X')/(Qw*XR)

What is Sludge?

Sludge is a semi-solid slurry that can be produced from a range of industrial processes, from water treatment, wastewater treatment or on-site sanitation systems.

How to Calculate Sludge Age given MLSS?

Sludge Age given MLSS calculator uses Sludge Age given MLSS = (Volume of Tank*Mixed Liquor Suspended Solids)/(Volume of Wasted Sludge per day*Concentration of Solids in Returned Sludge) to calculate the Sludge Age given MLSS, The Sludge Age given MLSS formula is defined as the average length of time that solids (or sludge) remain in the treatment system before being removed, considering MLSS. Sludge Age given MLSS is denoted by θc'' symbol.

How to calculate Sludge Age given MLSS using this online calculator? To use this online calculator for Sludge Age given MLSS, enter Volume of Tank (V), Mixed Liquor Suspended Solids (X'), Volume of Wasted Sludge per day (Qw) & Concentration of Solids in Returned Sludge (XR) and hit the calculate button. Here is how the Sludge Age given MLSS calculation can be explained with given input values -> 2.9E-7 = (9*1.2)/(9.5*0.000526).

FAQ

What is Sludge Age given MLSS?
The Sludge Age given MLSS formula is defined as the average length of time that solids (or sludge) remain in the treatment system before being removed, considering MLSS and is represented as θc'' = (V*X')/(Qw*XR) or Sludge Age given MLSS = (Volume of Tank*Mixed Liquor Suspended Solids)/(Volume of Wasted Sludge per day*Concentration of Solids in Returned Sludge). 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, Volume of Wasted Sludge per day is the amount of sludge that is removed from a wastewater treatment process within a 24-hour period & Concentration of Solids in Returned Sludge is the density of solid particles present in the sludge that is returned from the secondary settling tanks to the aeration tank.
How to calculate Sludge Age given MLSS?
The Sludge Age given MLSS formula is defined as the average length of time that solids (or sludge) remain in the treatment system before being removed, considering MLSS is calculated using Sludge Age given MLSS = (Volume of Tank*Mixed Liquor Suspended Solids)/(Volume of Wasted Sludge per day*Concentration of Solids in Returned Sludge). To calculate Sludge Age given MLSS, you need Volume of Tank (V), Mixed Liquor Suspended Solids (X'), Volume of Wasted Sludge per day (Qw) & Concentration of Solids in Returned Sludge (XR). With our tool, you need to enter the respective value for Volume of Tank, Mixed Liquor Suspended Solids, Volume of Wasted Sludge per day & Concentration of Solids in Returned Sludge 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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