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Concentration of Solids in Returned Sludge given Sludge Age Formula

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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. Check FAQs

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

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

Concentration of Solids in Returned Sludge given Sludge Age Example

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Here is how the Concentration of Solids in Returned Sludge given Sludge Age equation looks like with Values.

Here is how the Concentration of Solids in Returned Sludge given Sludge Age equation looks like with Units.

Here is how the Concentration of Solids in Returned Sludge given Sludge Age equation looks like.

226.8421 = \frac{(\frac{9 \cdot 1200}{5}) - (10 - 9.5) \cdot 10}{9.5}

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

226.8421 = \frac{(\frac{9 \cdot 1200}{5}) - (10 - 9.5) \cdot 10}{9.5}

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Concentration of Solids in Returned Sludge given Sludge Age Solution

Follow our step by step solution on how to calculate Concentration of Solids in Returned Sludge given Sludge Age?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

X Es = \frac{(\frac{9 \cdot 1200}{5}) - (10 - 9.5) \cdot 10}{9.5}

Next Step Evaluate

∴

X Es = 0.226842105263158kg/m³

Next Step Convert to Output's Unit

∴

X Es = 226.842105263158mg/L

LAST Step Rounding Answer

∴

X Es = 226.8421mg/L

Concentration of Solids in Returned Sludge given Sludge Age Formula Elements

Variables

Concentration of Solids given Sludge Age

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.

Symbol: X_Es

Measurement: DensityUnit: mg/L

Note: Value should be greater than 0.

Formulas to find Concentration of Solids given Sludge Age

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.

Formulas to find Volume of Tank

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.

Formulas to find Mixed Liquor Suspended Solids

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.

Formulas to find Sludge Age

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.

Formulas to find Sewage Discharge

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.

Formulas to find Volume of Wasted Sludge per day

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.

Formulas to find Concentration of Solids in Effluent

Other formulas in Concentration of Solids category

Go Concentration of Solids in Returned Sludge

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

Go Concentration of Solids in Effluent given Mass of Solids Removed

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

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

Concentration of Solids in Returned Sludge given Sludge Age evaluator 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 evaluate 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 evaluate Concentration of Solids in Returned Sludge given Sludge Age using this online evaluator? To use this online evaluator 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.

FAQs on Concentration of Solids in Returned Sludge given Sludge Age

What is the formula to find Concentration of Solids in Returned Sludge given Sludge Age?

The formula of Concentration of Solids in Returned Sludge given Sludge Age is expressed as 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. Here is an example- 226842.1 = (((9*1.2)/432000)-(10-9.5)*0.01)/9.5.

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

With 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) we can find Concentration of Solids in Returned Sludge given Sludge Age using the formula - 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.

Can the Concentration of Solids in Returned Sludge given Sludge Age be negative?

No, the Concentration of Solids in Returned Sludge given Sludge Age, measured in Density cannot be negative.

Which unit is used to measure Concentration of Solids in Returned Sludge given Sludge Age?

Concentration of Solids in Returned Sludge given Sludge Age is usually measured using the Milligram per Liter[mg/L] for Density. Kilogram per Cubic Meter[mg/L], Kilogram per Cubic Centimeter[mg/L], Gram per Cubic Meter[mg/L] are the few other units in which Concentration of Solids in Returned Sludge given Sludge Age can be measured.

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Concentration of Solids in Returned Sludge given Sludge Age Formula

Concentration of Solids in Returned Sludge given Sludge Age Example

Concentration of Solids in Returned Sludge given Sludge Age Solution

Concentration of Solids in Returned Sludge given Sludge Age Formula Elements

Other formulas in Concentration of Solids category

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

FAQs on Concentration of Solids in Returned Sludge given Sludge Age

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