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Concentration of Solids in Returned Sludge given MLSS Formula

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Concentration of Solids given MLSS is the density of solid particles present in the sludge that is returned from the secondary settling tanks to the aeration tank, considering MLSS. Check FAQs

X Em = \frac{X' \cdot V}{Q w \cdot θ c}

X_Em - Concentration of Solids given MLSS?X^' - Mixed Liquor Suspended Solids?V - Volume of Tank?Q_w - Volume of Wasted Sludge per day?θ_c - Sludge Age?

Concentration of Solids in Returned Sludge given MLSS Example

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

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

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

0.0026 = \frac{1200 \cdot 9}{9.5 \cdot 5}

0.0026mg/L = \frac{1200mg/L \cdot 9m³}{9.5m³/s \cdot 5d}

0.0026 = \frac{1200 \cdot 9}{9.5 \cdot 5}

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Concentration of Solids in Returned Sludge given MLSS Solution

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

FIRST Step Consider the formula

X Em = \frac{X' \cdot V}{Q w \cdot θ c}

Next Step Substitute values of Variables

∴

X Em = \frac{1200mg/L \cdot 9m³}{9.5m³/s \cdot 5d}

Next Step Convert Units

∴

X Em = \frac{1.2kg/m³ \cdot 9m³}{9.5m³/s \cdot 432000s}

Next Step Prepare to Evaluate

∴

X Em = \frac{1.2 \cdot 9}{9.5 \cdot 432000}

Next Step Evaluate

∴

X Em = 2.63157894736842E-06kg/m³

Next Step Convert to Output's Unit

∴

X Em = 0.00263157894736842mg/L

LAST Step Rounding Answer

∴

X Em = 0.0026mg/L

Concentration of Solids in Returned Sludge given MLSS Formula Elements

Variables

Concentration of Solids given MLSS

Concentration of Solids given MLSS is the density of solid particles present in the sludge that is returned from the secondary settling tanks to the aeration tank, considering MLSS.

Symbol: X_Em

Measurement: DensityUnit: mg/L

Note: Value should be greater than 0.

Formulas to find Concentration of Solids given MLSS

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

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

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

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

Other formulas in Concentration of Solids category

Go Mass of Wasted Activated Sludge

M ws = (Y \cdot Q s \cdot (Q i - Q o)) - (K e \cdot V \cdot X')

Go Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge

K e = \frac{(Y \cdot Q s \cdot (Q i - Q o)) - M ws}{X' \cdot V}

Go Endogenous Respiration Rate Constant given Maximum Yield Coefficient

K e = (Y \cdot U) - (\frac{1}{θ c})

Go Mass of Solids in Reactor

M s = V r \cdot X'

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

Concentration of Solids in Returned Sludge given MLSS evaluator uses Concentration of Solids given MLSS = (Mixed Liquor Suspended Solids*Volume of Tank)/(Volume of Wasted Sludge per day*Sludge Age) to evaluate the Concentration of Solids given MLSS, The Concentration of Solids in Returned Sludge given MLSS 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 MLSS. Concentration of Solids given MLSS is denoted by X_Em symbol.

How to evaluate Concentration of Solids in Returned Sludge given MLSS using this online evaluator? To use this online evaluator for Concentration of Solids in Returned Sludge given MLSS, enter Mixed Liquor Suspended Solids (X^'), Volume of Tank (V), Volume of Wasted Sludge per day (Q_w) & Sludge Age (θ_c) and hit the calculate button.

FAQs on Concentration of Solids in Returned Sludge given MLSS

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

The formula of Concentration of Solids in Returned Sludge given MLSS is expressed as Concentration of Solids given MLSS = (Mixed Liquor Suspended Solids*Volume of Tank)/(Volume of Wasted Sludge per day*Sludge Age). Here is an example- 2.631579 = (1.2*9)/(9.5*432000).

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

With Mixed Liquor Suspended Solids (X^'), Volume of Tank (V), Volume of Wasted Sludge per day (Q_w) & Sludge Age (θ_c) we can find Concentration of Solids in Returned Sludge given MLSS using the formula - Concentration of Solids given MLSS = (Mixed Liquor Suspended Solids*Volume of Tank)/(Volume of Wasted Sludge per day*Sludge Age).

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

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

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

Concentration of Solids in Returned Sludge given MLSS 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 MLSS can be measured.

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Concentration of Solids in Returned Sludge given MLSS Formula

Concentration of Solids in Returned Sludge given MLSS Example

Concentration of Solids in Returned Sludge given MLSS Solution

Concentration of Solids in Returned Sludge given MLSS Formula Elements

Other formulas in Concentration of Solids category

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

FAQs on Concentration of Solids in Returned Sludge given MLSS

Variable Name