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 Effluent is the amount of solid particles, both suspended and dissolved, present in a liquid effluent (wastewater or other discharged liquid).ⓘ Concentration of Solids in Effluent [X^E]			+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 given Total Solids Removed is the average length of time that solids (or sludge) remain in the treatment system before being removed, considering total solids removed.ⓘ Sludge Age given Total Solids Removed [θ_ct]

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Formula

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Sludge Age given Total Solids Removed

Formula

θ ct = \frac{V \cdot X E}{M'}

Example

22.5 d = \frac{9 m³ \cdot 10.0 mg/L}{0.004 kg/d}

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Sludge Age given Total Solids Removed Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sludge Age given Total Solids Removed = (Volume of Tank*Concentration of Solids in Effluent)/Mass of Solids Leaving the System
θ_ct = (V*X^E)/M^'
This formula uses 4 Variables

Variables Used

Sludge Age given Total Solids Removed - (Measured in Second) - Sludge Age given Total Solids Removed is the average length of time that solids (or sludge) remain in the treatment system before being removed, considering total solids removed.
Volume of Tank - (Measured in Cubic Meter) - Volume of Tank is defined as the capacity of flocculation and mixing tank.
Concentration of Solids in Effluent - (Measured in Kilogram per Cubic Meter) - Concentration of Solids in Effluent is the amount of solid particles, both suspended and dissolved, present in a liquid effluent (wastewater or other discharged liquid).
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

Volume of Tank: 9 Cubic Meter --> 9 Cubic Meter No Conversion Required
Concentration of Solids in Effluent: 10 Milligram per Liter --> 0.01 Kilogram per Cubic Meter (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_ct = (V*X^E)/M^' --> (9*0.01)/4.62962962962963E-08

Evaluating ... ...

θ_ct = 1944000

STEP 3: Convert Result to Output's Unit

1944000 Second -->22.5 Day (Check conversion here)

FINAL ANSWER

22.5 Day <-- Sludge Age given Total Solids Removed

(Calculation completed in 00.020 seconds)

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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

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< Sludge Age Calculators

Sludge Age given Concentration of Solids

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

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

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

Sludge Age

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

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

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

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

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

Sludge Age given Total Solids Removed Formula

Sludge Age given Total Solids Removed = (Volume of Tank*Concentration of Solids in Effluent)/Mass of Solids Leaving the System
θ_ct = (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 given Total Solids Removed = (Volume of Tank*Concentration of Solids in Effluent)/Mass of Solids Leaving the System to calculate the Sludge Age given Total Solids Removed, The Sludge Age given Total Solids Removed formula is defined as the calculation of sludge age when we have prior information of total solids removed. Sludge Age given Total Solids Removed is denoted by θ_ct 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 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 -> 0.00026 = (9*0.01)/4.62962962962963E-08.

FAQ

What is Sludge Age given Total Solids Removed?

The Sludge Age given Total Solids Removed formula is defined as the calculation of sludge age when we have prior information of total solids removed and is represented as θ_ct = (V*X^E)/M^' or Sludge Age given Total Solids Removed = (Volume of Tank*Concentration of Solids in Effluent)/Mass of Solids Leaving the System. Volume of Tank is defined as the capacity of flocculation and mixing tank, Concentration of Solids in Effluent is the amount of solid particles, both suspended and dissolved, present in a liquid effluent (wastewater or other discharged liquid) & 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 given Total Solids Removed?

The Sludge Age given Total Solids Removed formula is defined as the calculation of sludge age when we have prior information of total solids removed is calculated using Sludge Age given Total Solids Removed = (Volume of Tank*Concentration of Solids in 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 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 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.

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