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Sludge Age given Total Solids Removed Formula

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Sludge Age given Total Solids Removed is the average length of time that solids (or sludge) remain in the treatment system before being removed, considering total solids removed. Check FAQs

θ ct = \frac{V \cdot X E}{M'}

θ_ct - Sludge Age given Total Solids Removed?V - Volume of Tank?X^E - Concentration of Solids in Effluent?M^' - Mass of Solids Leaving the System?

Sludge Age given Total Solids Removed Example

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Here is how the Sludge Age given Total Solids Removed equation looks like with Values.

Here is how the Sludge Age given Total Solids Removed equation looks like with Units.

Here is how the Sludge Age given Total Solids Removed equation looks like.

22.5 = \frac{9 \cdot 10}{0.004}

22.5d = \frac{9m³ \cdot 10mg/L}{0.004kg/d}

22.5 = \frac{9 \cdot 10}{0.004}

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Sludge Age given Total Solids Removed Solution

Follow our step by step solution on how to calculate Sludge Age given Total Solids Removed?

FIRST Step Consider the formula

θ ct = \frac{V \cdot X E}{M'}

Next Step Substitute values of Variables

∴

θ ct = \frac{9m³ \cdot 10mg/L}{0.004kg/d}

Next Step Convert Units

∴

θ ct = \frac{9m³ \cdot 0.01kg/m³}{4.6E-8kg/s}

Next Step Prepare to Evaluate

∴

θ ct = \frac{9 \cdot 0.01}{4.6E-8}

Next Step Evaluate

∴

θ ct = 1944000s

LAST Step Convert to Output's Unit

∴

θ ct = 22.5d

Sludge Age given Total Solids Removed Formula Elements

Variables

Sludge Age given Total Solids Removed

Sludge Age given Total Solids Removed is the average length of time that solids (or sludge) remain in the treatment system before being removed, considering total solids removed.

Symbol: θ_ct

Measurement: TimeUnit: d

Note: Value should be greater than 0.

Formulas to find Sludge Age given Total Solids Removed

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

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

Mass of Solids Leaving the System

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.

Symbol: M^'

Measurement: Mass Flow RateUnit: kg/d

Note: Value should be greater than 0.

Formulas to find Mass of Solids Leaving the System

Other formulas in Sludge Age 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 Concentration of Solids in Returned Sludge given MLSS

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

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})

How to Evaluate Sludge Age given Total Solids Removed?

Sludge Age given Total Solids Removed evaluator uses Sludge Age given Total Solids Removed = (Volume of Tank*Concentration of Solids in Effluent)/Mass of Solids Leaving the System to evaluate the Sludge Age given Total Solids Removed, The Sludge Age given Total Solids Removed formula is defined as the calculation of sludge age when we have prior information of total solids removed. Sludge Age given Total Solids Removed is denoted by θ_ct symbol.

How to evaluate Sludge Age given Total Solids Removed using this online evaluator? To use this online evaluator for Sludge Age given Total Solids Removed, enter Volume of Tank (V), Concentration of Solids in Effluent (X^E) & Mass of Solids Leaving the System (M^') and hit the calculate button.

FAQs on Sludge Age given Total Solids Removed

What is the formula to find Sludge Age given Total Solids Removed?

The formula of Sludge Age given Total Solids Removed is expressed as Sludge Age given Total Solids Removed = (Volume of Tank*Concentration of Solids in Effluent)/Mass of Solids Leaving the System. Here is an example- 0.00026 = (9*0.01)/4.62962962962963E-08.

How to calculate Sludge Age given Total Solids Removed?

With Volume of Tank (V), Concentration of Solids in Effluent (X^E) & Mass of Solids Leaving the System (M^') we can find Sludge Age given Total Solids Removed using the formula - Sludge Age given Total Solids Removed = (Volume of Tank*Concentration of Solids in Effluent)/Mass of Solids Leaving the System.

Can the Sludge Age given Total Solids Removed be negative?

No, the Sludge Age given Total Solids Removed, measured in Time cannot be negative.

Which unit is used to measure Sludge Age given Total Solids Removed?

Sludge Age given Total Solids Removed is usually measured using the Day[d] for Time. Second[d], Millisecond[d], Microsecond[d] are the few other units in which Sludge Age given Total Solids Removed can be measured.

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Sludge Age given Total Solids Removed Formula

Sludge Age given Total Solids Removed Example

Sludge Age given Total Solids Removed Solution

Sludge Age given Total Solids Removed Formula Elements

Other formulas in Sludge Age category

How to Evaluate Sludge Age given Total Solids Removed?

FAQs on Sludge Age given Total Solids Removed

Variable Name