Concentration of Solids in Returned Sludge given Sludge Age Calculator

✖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%
✖Sludge Age is the average time for which the particle of suspended solids remains in aeration.ⓘ Sludge Age [θ_c]			+10% -10%
✖Sewage Discharge is the flow rate of sewage when it is being discharged in the river.ⓘ Sewage Discharge [Q_s]			+10% -10%
✖Volume of Wasted Sludge per day is the amount of sludge that is removed from a wastewater treatment process within a 24-hour period.ⓘ Volume of Wasted Sludge per day [Q_w]			+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%

✖Concentration of Solids given Sludge Age is density of solid particles present in the sludge that is returned from the secondary settling tanks to the aeration tank, considering sludge age.ⓘ Concentration of Solids in Returned Sludge given Sludge Age [X_Es]

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Formula

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Concentration of Solids in Returned Sludge given Sludge Age

Formula

X Es = \frac{(\frac{V \cdot X'}{θ c}) - (Q s - Q w) \cdot X E}{Q w}

Example

226.8421 mg/L = \frac{(\frac{9 m³ \cdot 1200 mg/L}{5 d}) - (10 m³/s - 9.5 m³/s) \cdot 10.0 mg/L}{9.5 m³/s}

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Concentration of Solids in Returned Sludge given Sludge Age Solution

STEP 0: Pre-Calculation Summary

Formula Used

Concentration of Solids given Sludge Age = (((Volume of Tank*Mixed Liquor Suspended Solids)/Sludge Age)-(Sewage Discharge-Volume of Wasted Sludge per day)*Concentration of Solids in Effluent)/Volume of Wasted Sludge per day
X_Es = (((V*X^')/θ_c)-(Q_s-Q_w)*X^E)/Q_w
This formula uses 7 Variables

Variables Used

Concentration of Solids given Sludge Age - (Measured in Milligram per Liter) - Concentration of Solids given Sludge Age is density of solid particles present in the sludge that is returned from the secondary settling tanks to the aeration tank, considering sludge age.
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 Milligram per Liter) - Mixed Liquor Suspended Solids is the concentration of suspended solids in the mixed liquor of an aeration tank during the activated sludge process.
Sludge Age - (Measured in Day) - Sludge Age is the average time for which the particle of suspended solids remains in aeration.
Sewage Discharge - (Measured in Cubic Meter per Second) - Sewage Discharge is the flow rate of sewage when it is being discharged in the river.
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 Effluent - (Measured in Milligram per Liter) - 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).

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 --> 1200 Milligram per Liter No Conversion Required
Sludge Age: 5 Day --> 5 Day No Conversion Required
Sewage Discharge: 10 Cubic Meter per Second --> 10 Cubic Meter per Second No Conversion Required
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 Effluent: 10 Milligram per Liter --> 10 Milligram per Liter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

X_Es = (((V*X^')/θ_c)-(Q_s-Q_w)*X^E)/Q_w --> (((9*1200)/5)-(10-9.5)*10)/9.5

Evaluating ... ...

X_Es = 226.842105263158

STEP 3: Convert Result to Output's Unit

0.226842105263158 Kilogram per Cubic Meter -->226.842105263158 Milligram per Liter (Check conversion here)

FINAL ANSWER

226.842105263158 ≈ 226.8421 Milligram per Liter <-- Concentration of Solids given Sludge Age

(Calculation completed in 00.004 seconds)

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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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< Concentration of Solids Calculators

Concentration of Solids in Effluent given Sludge Age

Go Concentration of Solids Effluent given Sludge Age = (((Volume of Tank*Mixed Liquor Suspended Solids)/Sludge Age)-(Volume of Wasted Sludge per day*Concentration of Solids in Returned Sludge))/(Sewage Discharge-Volume of Wasted Sludge per day)

Concentration of Solids in Returned Sludge given Sludge Age

Go Concentration of Solids given Sludge Age = (((Volume of Tank*Mixed Liquor Suspended Solids)/Sludge Age)-(Sewage Discharge-Volume of Wasted Sludge per day)*Concentration of Solids in Effluent)/Volume of Wasted Sludge per day

Concentration of Solids in Effluent given Mass of Solids Removed

Go Concentration of Solids in Effluent = Mass of Solids/(Sewage Discharge-Volume of Wasted Sludge per day)

Concentration of Solids in Returned Sludge

Go Concentration of Solids in Returned Sludge = Mass of Solids/Volume of Wasted Sludge per day

Concentration of Solids in Returned Sludge given Sludge Age Formula

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 Concentration of Solids in Returned Sludge given Sludge Age?

Concentration of Solids in Returned Sludge given Sludge Age calculator uses Concentration of Solids given Sludge Age = (((Volume of Tank*Mixed Liquor Suspended Solids)/Sludge Age)-(Sewage Discharge-Volume of Wasted Sludge per day)*Concentration of Solids in Effluent)/Volume of Wasted Sludge per day to calculate the Concentration of Solids given Sludge Age, The Concentration of Solids in Returned Sludge given Sludge Age formula is defined as the proportion or density of solid particles present in the sludge that is returned from the secondary settling tanks to the aeration tank in wastewater treatment processes, particularly in activated sludge systems, considering sludge age value. Concentration of Solids given Sludge Age is denoted by X_Es symbol.

How to calculate Concentration of Solids in Returned Sludge given Sludge Age using this online calculator? To use this online calculator for Concentration of Solids in Returned Sludge given Sludge Age, enter Volume of Tank (V), Mixed Liquor Suspended Solids (X^'), Sludge Age (θ_c), Sewage Discharge (Q_s), Volume of Wasted Sludge per day (Q_w) & Concentration of Solids in Effluent (X^E) and hit the calculate button. Here is how the Concentration of Solids in Returned Sludge given Sludge Age calculation can be explained with given input values -> 226842.1 = (((9*1.2)/432000)-(10-9.5)*0.01)/9.5.

FAQ

What is Concentration of Solids in Returned Sludge given Sludge Age?

The Concentration of Solids in Returned Sludge given Sludge Age formula is defined as the proportion or density of solid particles present in the sludge that is returned from the secondary settling tanks to the aeration tank in wastewater treatment processes, particularly in activated sludge systems, considering sludge age value and is represented as X_Es = (((V*X^')/θ_c)-(Q_s-Q_w)*X^E)/Q_w or Concentration of Solids given Sludge Age = (((Volume of Tank*Mixed Liquor Suspended Solids)/Sludge Age)-(Sewage Discharge-Volume of Wasted Sludge per day)*Concentration of Solids in Effluent)/Volume of Wasted Sludge per day. 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, Sludge Age is the average time for which the particle of suspended solids remains in aeration, Sewage Discharge is the flow rate of sewage when it is being discharged in the river, 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 Effluent is the amount of solid particles, both suspended and dissolved, present in a liquid effluent (wastewater or other discharged liquid).

How to calculate Concentration of Solids in Returned Sludge given Sludge Age?

The Concentration of Solids in Returned Sludge given Sludge Age formula is defined as the proportion or density of solid particles present in the sludge that is returned from the secondary settling tanks to the aeration tank in wastewater treatment processes, particularly in activated sludge systems, considering sludge age value is calculated using Concentration of Solids given Sludge Age = (((Volume of Tank*Mixed Liquor Suspended Solids)/Sludge Age)-(Sewage Discharge-Volume of Wasted Sludge per day)*Concentration of Solids in Effluent)/Volume of Wasted Sludge per day. To calculate Concentration of Solids in Returned Sludge given Sludge Age, you need Volume of Tank (V), Mixed Liquor Suspended Solids (X^'), Sludge Age (θ_c), Sewage Discharge (Q_s), Volume of Wasted Sludge per day (Q_w) & Concentration of Solids in Effluent (X^E). With our tool, you need to enter the respective value for Volume of Tank, Mixed Liquor Suspended Solids, Sludge Age, Sewage Discharge, Volume of Wasted Sludge per day & Concentration of Solids in Effluent 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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