Sludge Age given Total Solids Removed Calculator

✖Volume of tank is defined as the capacity of flocculation and mixing tank.ⓘ Volume of Tank [V]			+10% -10%
✖Concentration of solids in the effluent is in the terms of density.ⓘ Concentration of solids in the effluent [X^E]			+10% -10%
✖Mass of solids leaving the system is calculated in terms of mass per day.ⓘ 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 given Total Solids Removed [θ_c]

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Sludge Age given Total Solids Removed

Formula

`"θ"_{"c"} = ("V"*"X"^{"E"})/"M"^{"'"}`

Example

`"0.0135d"=("9m³"*"3mg/L")/"2kg/d"`

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Sludge Age given Total Solids Removed Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sludge Age = (Volume of Tank*Concentration of solids in the effluent)/Mass of solids leaving the system
θ_c = (V*X^E)/M^'
This formula uses 4 Variables

Variables Used

Sludge Age - (Measured in Second) - Sludge Age is the average time for which the particle of suspended solids remains in aeration.
Volume of Tank - (Measured in Cubic Meter) - Volume of tank is defined as the capacity of flocculation and mixing tank.
Concentration of solids in the effluent - (Measured in Kilogram per Cubic Meter) - Concentration of solids in the effluent is in the terms of density.
Mass of solids leaving the system - (Measured in Kilogram per Second) - Mass of solids leaving the system is calculated in terms of mass per day.

STEP 1: Convert Input(s) to Base Unit

Volume of Tank: 9 Cubic Meter --> 9 Cubic Meter No Conversion Required
Concentration of solids in the effluent: 3 Milligram per Liter --> 0.003 Kilogram per Cubic Meter (Check conversion here)
Mass of solids leaving the system: 2 Kilogram per Day --> 2.31481481481481E-05 Kilogram per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ_c = (V*X^E)/M^' --> (9*0.003)/2.31481481481481E-05

Evaluating ... ...

θ_c = 1166.4

STEP 3: Convert Result to Output's Unit

1166.4 Second -->0.0135 Day (Check conversion here)

FINAL ANSWER

0.0135 Day <-- Sludge Age

(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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< 5 Sludge Age Calculators

Sludge Age given Concentration of Solids

Go Sludge Age = (Volume of Tank*MLSS)/((Volume of Wasted Sludge per day*Concentration of solids)+(Peak Sewage Flow-Volume of Wasted Sludge per day)*Concentration of solids in the effluent)

Sludge Age given MLSS

Go Sludge Age = (Volume of Tank*MLSS)/(Volume of Wasted Sludge per day*Concentration of solids)

Sludge Age given Endogenous Respiration Rate Constant

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

Sludge Age given Total Solids Removed

Go Sludge Age = (Volume of Tank*Concentration of solids in the effluent)/Mass of solids leaving the system

Sludge Age

Go Sludge Age = Mass of suspended solids/Mass of solids leaving the system

Sludge Age given Total Solids Removed Formula

Sludge Age = (Volume of Tank*Concentration of solids in the effluent)/Mass of solids leaving the system
θ_c = (V*X^E)/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 given Total Solids Removed?

Sludge Age given Total Solids Removed calculator uses Sludge Age = (Volume of Tank*Concentration of solids in the effluent)/Mass of solids leaving the system to calculate the Sludge Age, Sludge Age given Total Solids Removed calculates sludge age when we have prior information of other parameters used. Sludge Age is denoted by θ_c symbol.

How to calculate Sludge Age given Total Solids Removed using this online calculator? To use this online calculator for Sludge Age given Total Solids Removed, enter Volume of Tank (V), Concentration of solids in the effluent (X^E) & Mass of solids leaving the system (M^') and hit the calculate button. Here is how the Sludge Age given Total Solids Removed calculation can be explained with given input values -> 1.6E-7 = (9*0.003)/2.31481481481481E-05.

FAQ

What is Sludge Age given Total Solids Removed?

Sludge Age given Total Solids Removed calculates sludge age when we have prior information of other parameters used and is represented as θ_c = (V*X^E)/M^' or Sludge Age = (Volume of Tank*Concentration of solids in the effluent)/Mass of solids leaving the system. Volume of tank is defined as the capacity of flocculation and mixing tank, Concentration of solids in the effluent is in the terms of density & Mass of solids leaving the system is calculated in terms of mass per day.

How to calculate Sludge Age given Total Solids Removed?

Sludge Age given Total Solids Removed calculates sludge age when we have prior information of other parameters used is calculated using Sludge Age = (Volume of Tank*Concentration of solids in the effluent)/Mass of solids leaving the system. To calculate Sludge Age given Total Solids Removed, you need Volume of Tank (V), Concentration of solids in the effluent (X^E) & Mass of solids leaving the system (M^'). With our tool, you need to enter the respective value for Volume of Tank, Concentration of solids in the effluent & 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.

How many ways are there to calculate Sludge Age?

In this formula, Sludge Age uses Volume of Tank, Concentration of solids in the effluent & Mass of solids leaving the system. We can use 4 other way(s) to calculate the same, which is/are as follows -

Sludge Age = Mass of suspended solids/Mass of solids leaving the system
Sludge Age = (Volume of Tank*MLSS)/((Volume of Wasted Sludge per day*Concentration of solids)+(Peak Sewage Flow-Volume of Wasted Sludge per day)*Concentration of solids in the effluent)
Sludge Age = (Volume of Tank*MLSS)/(Volume of Wasted Sludge per day*Concentration of solids)
Sludge Age = (1/((Maximum Yield Coefficient*Specific Substrate Utilisation Rate)-Endogenous Respiration Rate Constant))

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