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Sludge Age Formula

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

θ c = \frac{M ss}{M'}

θ_c - Sludge Age?M_ss - Mass of Suspended Solids?M^' - Mass of Solids Leaving the System?

Sludge Age Example

With values

With units

Only example

Here is how the Sludge Age equation looks like with Values.

Here is how the Sludge Age equation looks like with Units.

Here is how the Sludge Age equation looks like.

5 = \frac{20000}{0.004}

5d = \frac{20000mg}{0.004kg/d}

5 = \frac{20000}{0.004}

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Sludge Age Solution

Follow our step by step solution on how to calculate Sludge Age?

FIRST Step Consider the formula

θ c = \frac{M ss}{M'}

Next Step Substitute values of Variables

∴

θ c = \frac{20000mg}{0.004kg/d}

Next Step Convert Units

∴

θ c = \frac{0.02kg}{4.6E-8kg/s}

Next Step Prepare to Evaluate

∴

θ c = \frac{0.02}{4.6E-8}

Next Step Evaluate

∴

θ c = 432000s

LAST Step Convert to Output's Unit

∴

θ c = 5d

Sludge Age Formula Elements

Variables

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

Mass of Suspended Solids

Mass of Suspended Solids is the weight of the suspended solids present in sewage.

Symbol: M_ss

Measurement: WeightUnit: mg

Note: Value should be greater than 0.

Formulas to find Mass of Suspended Solids

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?

Sludge Age evaluator uses Sludge Age = Mass of Suspended Solids/Mass of Solids Leaving the System to evaluate the Sludge Age, The Sludge Age formula is defined as the calculation of the ratio of the total mass of activated sludge in the system to the mass of sludge wasted or removed per day. Sludge Age is denoted by θ_c symbol.

How to evaluate Sludge Age using this online evaluator? To use this online evaluator for Sludge Age, enter Mass of Suspended Solids (M_ss) & Mass of Solids Leaving the System (M^') and hit the calculate button.

FAQs on Sludge Age

What is the formula to find Sludge Age?

The formula of Sludge Age is expressed as Sludge Age = Mass of Suspended Solids/Mass of Solids Leaving the System. Here is an example- 1.2E-7 = 0.02/4.62962962962963E-08.

How to calculate Sludge Age?

With Mass of Suspended Solids (M_ss) & Mass of Solids Leaving the System (M^') we can find Sludge Age using the formula - Sludge Age = Mass of Suspended Solids/Mass of Solids Leaving the System.

Can the Sludge Age be negative?

No, the Sludge Age, measured in Time cannot be negative.

Which unit is used to measure Sludge Age?

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

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Sludge Age Formula

Sludge Age Example

Sludge Age Solution

Sludge Age Formula Elements

Other formulas in Sludge Age category

How to Evaluate Sludge Age?

FAQs on Sludge Age

Variable Name