Concentration of Solids in Effluent given Sludge Age Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
XE' = (((V*X')/θc)-(Qw*XR))/(Qs-Qw)
This formula uses 7 Variables
Variables Used
Concentration of Solids Effluent given Sludge Age - (Measured in Milligram per Liter) - Concentration of Solids Effluent given Sludge Age is the amount of solid particles present in the effluent as a function of the 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.
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 Milligram per Liter) - 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.
Sewage Discharge - (Measured in Cubic Meter per Second) - Sewage Discharge is the flow rate of sewage when it is being discharged in the river.
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
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 --> 0.526 Milligram per Liter No Conversion Required
Sewage Discharge: 10 Cubic Meter per Second --> 10 Cubic Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
XE' = (((V*X')/θc)-(Qw*XR))/(Qs-Qw) --> (((9*1200)/5)-(9.5*0.526))/(10-9.5)
Evaluating ... ...
XE' = 4310.006
STEP 3: Convert Result to Output's Unit
4.310006 Kilogram per Cubic Meter -->4310.006 Milligram per Liter (Check conversion ​here)
FINAL ANSWER
4310.006 Milligram per Liter <-- Concentration of Solids Effluent given Sludge Age
(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri
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Concentration of Solids Calculators

Concentration of Solids in Effluent given Sludge Age
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ Go Concentration of Solids in Effluent = Mass of Solids/(Sewage Discharge-Volume of Wasted Sludge per day)
Concentration of Solids in Returned Sludge
​ LaTeX ​ Go Concentration of Solids in Returned Sludge = Mass of Solids/Volume of Wasted Sludge per day

Concentration of Solids in Effluent given Sludge Age Formula

​LaTeX ​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)
XE' = (((V*X')/θc)-(Qw*XR))/(Qs-Qw)

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 Effluent given Sludge Age?

Concentration of Solids in Effluent given Sludge Age calculator uses 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) to calculate the Concentration of Solids Effluent given Sludge Age, The Concentration of Solids in Effluent given Sludge Age formula is defined as the amount of solid particles present in the effluent (the outflowing treated water from a wastewater treatment process) as a function of the sludge age. Concentration of Solids Effluent given Sludge Age is denoted by XE' symbol.

How to calculate Concentration of Solids in Effluent given Sludge Age using this online calculator? To use this online calculator for Concentration of Solids in Effluent given Sludge Age, enter Volume of Tank (V), Mixed Liquor Suspended Solids (X'), Sludge Age c), Volume of Wasted Sludge per day (Qw), Concentration of Solids in Returned Sludge (XR) & Sewage Discharge (Qs) and hit the calculate button. Here is how the Concentration of Solids in Effluent given Sludge Age calculation can be explained with given input values -> 4.3E+6 = (((9*1.2)/432000)-(9.5*0.000526))/(10-9.5).

FAQ

What is Concentration of Solids in Effluent given Sludge Age?
The Concentration of Solids in Effluent given Sludge Age formula is defined as the amount of solid particles present in the effluent (the outflowing treated water from a wastewater treatment process) as a function of the sludge age and is represented as XE' = (((V*X')/θc)-(Qw*XR))/(Qs-Qw) or 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). 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, 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 & Sewage Discharge is the flow rate of sewage when it is being discharged in the river.
How to calculate Concentration of Solids in Effluent given Sludge Age?
The Concentration of Solids in Effluent given Sludge Age formula is defined as the amount of solid particles present in the effluent (the outflowing treated water from a wastewater treatment process) as a function of the sludge age is calculated using 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). To calculate Concentration of Solids in Effluent given Sludge Age, you need Volume of Tank (V), Mixed Liquor Suspended Solids (X'), Sludge Age c), Volume of Wasted Sludge per day (Qw), Concentration of Solids in Returned Sludge (XR) & Sewage Discharge (Qs). With our tool, you need to enter the respective value for Volume of Tank, Mixed Liquor Suspended Solids, Sludge Age, Volume of Wasted Sludge per day, Concentration of Solids in Returned Sludge & Sewage Discharge 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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