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Volume of Wasted Sludge Per Day given Sludge Age Formula

GoVolume of Wasted Sludge Per Day Formula

GoVolume of Wasted Sludge Per Day given Mass of Solids Removed Formula

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Volume of Wasted Sludge per day is the amount of sludge that is removed from a wastewater treatment process within a 24-hour period. Check FAQs

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

Q_w - Volume of Wasted Sludge per day?V - Volume of Tank?X^' - Mixed Liquor Suspended Solids?θ_c - Sludge Age?Q_s - Sewage Discharge?X^E - Concentration of Solids in Effluent?X^R - Concentration of Solids in Returned Sludge?

Volume of Wasted Sludge Per Day given Sludge Age Example

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Here is how the Volume of Wasted Sludge Per Day given Sludge Age equation looks like with Values.

Here is how the Volume of Wasted Sludge Per Day given Sludge Age equation looks like with Units.

Here is how the Volume of Wasted Sludge Per Day given Sludge Age equation looks like.

10.5526 = \frac{(\frac{9 \cdot 1200}{5}) - (10 \cdot 10)}{0.526 - 10}

10.5526m³/s = \frac{(\frac{9m³ \cdot 1200mg/L}{5d}) - (10m³/s \cdot 10mg/L)}{0.526mg/L - 10mg/L}

10.5526 = \frac{(\frac{9 \cdot 1200}{5}) - (10 \cdot 10)}{0.526 - 10}

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Volume of Wasted Sludge Per Day given Sludge Age Solution

Follow our step by step solution on how to calculate Volume of Wasted Sludge Per Day given Sludge Age?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Q w = \frac{(\frac{9m³ \cdot 1200mg/L}{5d}) - (10m³/s \cdot 10mg/L)}{0.526mg/L - 10mg/L}

Next Step Convert Units

∴

Q w = \frac{(\frac{9m³ \cdot 1.2kg/m³}{432000s}) - (10m³/s \cdot 0.01kg/m³)}{0.0005kg/m³ - 0.01kg/m³}

Next Step Prepare to Evaluate

∴

Q w = \frac{(\frac{9 \cdot 1.2}{432000}) - (10 \cdot 0.01)}{0.0005 - 0.01}

Next Step Evaluate

∴

Q w = 10.5525649145029m³/s

LAST Step Rounding Answer

∴

Q w = 10.5526m³/s

Volume of Wasted Sludge Per Day given Sludge Age Formula Elements

Variables

Volume of Wasted Sludge per day

Volume of Wasted Sludge per day is the amount of sludge that is removed from a wastewater treatment process within a 24-hour period.

Symbol: Q_w

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Volume of Tank

Volume of Tank is defined as the capacity of flocculation and mixing tank.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Mixed Liquor Suspended Solids

Mixed Liquor Suspended Solids is the concentration of suspended solids in the mixed liquor of an aeration tank during the activated sludge process.

Symbol: X^'

Measurement: DensityUnit: mg/L

Note: Value should be between 1000 to 6500.

Sludge Age

Sludge Age is the average time for which the particle of suspended solids remains in aeration.

Symbol: θ_c

Measurement: TimeUnit: d

Note: Value should be greater than 0.

Sewage Discharge

Sewage Discharge is the flow rate of sewage when it is being discharged in the river.

Symbol: Q_s

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Concentration of Solids in Effluent

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).

Symbol: X^E

Measurement: DensityUnit: mg/L

Note: Value should be greater than 0.

Concentration of Solids in Returned Sludge

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.

Symbol: X^R

Measurement: DensityUnit: mg/L

Note: Value should be greater than 0.

Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Formula and 2100+ more formulas!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Formula and 2600+ more formulas!

Other Formulas to find Volume of Wasted Sludge per day

Go Volume of Wasted Sludge Per Day

Q w = \frac{M s}{X R}

Go Volume of Wasted Sludge Per Day given Mass of Solids Removed

Q w = Q s - (\frac{M s}{X E})

How to Evaluate Volume of Wasted Sludge Per Day given Sludge Age?

Volume of Wasted Sludge Per Day given Sludge Age evaluator uses 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) to evaluate the Volume of Wasted Sludge per day, The Volume of Wasted Sludge Per Day given Sludge Age formula is defined as the calculation of volume of wasted sludge per day when we have prior information of sludge age. Volume of Wasted Sludge per day is denoted by Q_w symbol.

How to evaluate Volume of Wasted Sludge Per Day given Sludge Age using this online evaluator? To use this online evaluator for Volume of Wasted Sludge Per Day given Sludge Age, enter Volume of Tank (V), Mixed Liquor Suspended Solids (X^'), Sludge Age (θ_c), Sewage Discharge (Q_s), Concentration of Solids in Effluent (X^E) & Concentration of Solids in Returned Sludge (X^R) and hit the calculate button.

FAQs on Volume of Wasted Sludge Per Day given Sludge Age

What is the formula to find Volume of Wasted Sludge Per Day given Sludge Age?

The formula of Volume of Wasted Sludge Per Day given Sludge Age is expressed as 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). Here is an example- 12.49688 = (((9*1.2)/432000)-(10*0.01))/(concentration_solid_432000-0.01).

How to calculate Volume of Wasted Sludge Per Day given Sludge Age?

With Volume of Tank (V), Mixed Liquor Suspended Solids (X^'), Sludge Age (θ_c), Sewage Discharge (Q_s), Concentration of Solids in Effluent (X^E) & Concentration of Solids in Returned Sludge (X^R) we can find Volume of Wasted Sludge Per Day given Sludge Age using the formula - 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).

What are the other ways to Calculate Volume of Wasted Sludge per day?

Here are the different ways to Calculate Volume of Wasted Sludge per day-

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=(Mass of Solids Leaving the System-(Sewage Discharge*Concentration of Solids in Effluent))/(Concentration of Solids in Returned Sludge-Concentration of Solids in Effluent)

Can the Volume of Wasted Sludge Per Day given Sludge Age be negative?

No, the Volume of Wasted Sludge Per Day given Sludge Age, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Volume of Wasted Sludge Per Day given Sludge Age?

Volume of Wasted Sludge Per Day given Sludge Age is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Volume of Wasted Sludge Per Day given Sludge Age can be measured.

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Volume of Wasted Sludge Per Day given Sludge Age Formula

​GoVolume of Wasted Sludge Per Day Formula

​GoVolume of Wasted Sludge Per Day given Mass of Solids Removed Formula

Volume of Wasted Sludge Per Day given Sludge Age Example

Volume of Wasted Sludge Per Day given Sludge Age Solution

Volume of Wasted Sludge Per Day given Sludge Age Formula Elements

Credits

Other Formulas to find Volume of Wasted Sludge per day

How to Evaluate Volume of Wasted Sludge Per Day given Sludge Age?

FAQs on Volume of Wasted Sludge Per Day given Sludge Age

Variable Name

GoVolume of Wasted Sludge Per Day Formula

GoVolume of Wasted Sludge Per Day given Mass of Solids Removed Formula