Volume of Wasted Sludge Per Day given Total Solids Removed Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume of Wasted Sludge per day = (Mass of Solids Leaving the System-(Sewage Discharge*Concentration of Solids in Effluent))/(Concentration of Solids in Returned Sludge-Concentration of Solids in Effluent)
Qw = (M'-(Qs*XE))/(XR-XE)
This formula uses 5 Variables
Variables Used
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.
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.
Sewage Discharge - (Measured in Cubic Meter per Second) - Sewage Discharge is the flow rate of sewage when it is being discharged in the river.
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).
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
Mass of Solids Leaving the System: 0.004 Kilogram per Day --> 4.62962962962963E-08 Kilogram per Second (Check conversion ​here)
Sewage Discharge: 10 Cubic Meter per Second --> 10 Cubic Meter per Second No Conversion Required
Concentration of Solids in Effluent: 10 Milligram per Liter --> 0.01 Kilogram per Cubic Meter (Check conversion ​here)
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
Qw = (M'-(Qs*XE))/(XR-XE) --> (4.62962962962963E-08-(10*0.01))/(0.000526-0.01)
Evaluating ... ...
Qw = 10.5551988287633
STEP 3: Convert Result to Output's Unit
10.5551988287633 Cubic Meter per Second --> No Conversion Required
FINAL ANSWER
10.5551988287633 10.5552 Cubic Meter per Second <-- Volume of Wasted Sludge per day
(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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Verified by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
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Volume of Wasted Sludge Calculators

Volume of Wasted Sludge Per Day given Sludge Age
​ LaTeX ​ Go Volume of Wasted Sludge per day = (((Volume of Tank*Mixed Liquor Suspended Solids)/Sludge Age)-(Sewage Discharge*Concentration of Solids in Effluent))/(Concentration of Solids in Returned Sludge-Concentration of Solids in Effluent)
Volume of Wasted Sludge Per Day given Total Solids Removed
​ LaTeX ​ Go Volume of Wasted Sludge per day = (Mass of Solids Leaving the System-(Sewage Discharge*Concentration of Solids in Effluent))/(Concentration of Solids in Returned Sludge-Concentration of Solids in Effluent)
Volume of Wasted Sludge Per Day given Mass of Solids Removed
​ LaTeX ​ Go Volume of Wasted Sludge per day = Sewage Discharge-(Mass of Solids/Concentration of Solids in Effluent)
Volume of Wasted Sludge Per Day
​ LaTeX ​ Go Volume of Wasted Sludge per day = Mass of Solids/Concentration of Solids in Returned Sludge

Volume of Wasted Sludge Per Day given Total Solids Removed Formula

​LaTeX ​Go
Volume of Wasted Sludge per day = (Mass of Solids Leaving the System-(Sewage Discharge*Concentration of Solids in Effluent))/(Concentration of Solids in Returned Sludge-Concentration of Solids in Effluent)
Qw = (M'-(Qs*XE))/(XR-XE)

What is Sludge Wasting?

Wasting removes solids buildup in the activated-sludge system, formed when solids amounts in the aeration-tank influent are greater than the solids amounts in the secondary-clarifier effluent. If sludge is not wasted, the secondary clarifier eventually fills up with solids.

How to Calculate Volume of Wasted Sludge Per Day given Total Solids Removed?

Volume of Wasted Sludge Per Day given Total Solids Removed calculator uses Volume of Wasted Sludge per day = (Mass of Solids Leaving the System-(Sewage Discharge*Concentration of Solids in Effluent))/(Concentration of Solids in Returned Sludge-Concentration of Solids in Effluent) to calculate the Volume of Wasted Sludge per day, The Volume of Wasted Sludge Per Day given Total Solids Removed formula is defined as the calculation of volume of wasted sludge per day when we have prior information of total solids removed. Volume of Wasted Sludge per day is denoted by Qw symbol.

How to calculate Volume of Wasted Sludge Per Day given Total Solids Removed using this online calculator? To use this online calculator for Volume of Wasted Sludge Per Day given Total Solids Removed, enter Mass of Solids Leaving the System (M'), Sewage Discharge (Qs), Concentration of Solids in Effluent (XE) & Concentration of Solids in Returned Sludge (XR) and hit the calculate button. Here is how the Volume of Wasted Sludge Per Day given Total Solids Removed calculation can be explained with given input values -> 10.55275 = (4.62962962962963E-08-(10*0.01))/(0.000526-0.01).

FAQ

What is Volume of Wasted Sludge Per Day given Total Solids Removed?
The Volume of Wasted Sludge Per Day given Total Solids Removed formula is defined as the calculation of volume of wasted sludge per day when we have prior information of total solids removed and is represented as Qw = (M'-(Qs*XE))/(XR-XE) or Volume of Wasted Sludge per day = (Mass of Solids Leaving the System-(Sewage Discharge*Concentration of Solids in Effluent))/(Concentration of Solids in Returned Sludge-Concentration of Solids in Effluent). 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, Sewage Discharge is the flow rate of sewage when it is being discharged in the river, 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 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 Volume of Wasted Sludge Per Day given Total Solids Removed?
The Volume of Wasted Sludge Per Day given Total Solids Removed formula is defined as the calculation of volume of wasted sludge per day when we have prior information of total solids removed is calculated using Volume of Wasted Sludge per day = (Mass of Solids Leaving the System-(Sewage Discharge*Concentration of Solids in Effluent))/(Concentration of Solids in Returned Sludge-Concentration of Solids in Effluent). To calculate Volume of Wasted Sludge Per Day given Total Solids Removed, you need Mass of Solids Leaving the System (M'), Sewage Discharge (Qs), Concentration of Solids in Effluent (XE) & Concentration of Solids in Returned Sludge (XR). With our tool, you need to enter the respective value for Mass of Solids Leaving the System, Sewage Discharge, Concentration of Solids in Effluent & 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.
How many ways are there to calculate Volume of Wasted Sludge per day?
In this formula, Volume of Wasted Sludge per day uses Mass of Solids Leaving the System, Sewage Discharge, Concentration of Solids in Effluent & Concentration of Solids in Returned Sludge. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Volume of Wasted Sludge per day = Mass of Solids/Concentration of Solids in Returned Sludge
  • Volume of Wasted Sludge per day = Sewage Discharge-(Mass of Solids/Concentration of Solids in Effluent)
  • Volume of Wasted Sludge per day = (((Volume of Tank*Mixed Liquor Suspended Solids)/Sludge Age)-(Sewage Discharge*Concentration of Solids in Effluent))/(Concentration of Solids in Returned Sludge-Concentration of Solids in Effluent)
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