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Sludge Age given Endogenous Respiration Rate Constant Formula

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Sludge Age given Endogenous Constant is the average length of time that solids (or sludge) remain in the treatment system before being removed, given endogenous rate constant. Check FAQs

θ ce = (\frac{1}{(Y \cdot U) - K e})

θ_ce - Sludge Age given Endogenous Constant?Y - Maximum Yield Coefficient?U - Specific Substrate Utilization Rate?K_e - Endogenous Respiration Constant?

Sludge Age given Endogenous Respiration Rate Constant Example

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Here is how the Sludge Age given Endogenous Respiration Rate Constant equation looks like with Values.

Here is how the Sludge Age given Endogenous Respiration Rate Constant equation looks like with Units.

Here is how the Sludge Age given Endogenous Respiration Rate Constant equation looks like.

1 = (\frac{1}{(0.5 \cdot 0.5) - 21599})

1d = (\frac{1}{(0.5 \cdot 0.5s⁻¹) - 21599d⁻¹})

1 = (\frac{1}{(0.5 \cdot 0.5) - 21599})

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Sludge Age given Endogenous Respiration Rate Constant Solution

Follow our step by step solution on how to calculate Sludge Age given Endogenous Respiration Rate Constant?

FIRST Step Consider the formula

θ ce = (\frac{1}{(Y \cdot U) - K e})

Next Step Substitute values of Variables

∴

θ ce = (\frac{1}{(0.5 \cdot 0.5s⁻¹) - 21599d⁻¹})

Next Step Convert Units

∴

θ ce = (\frac{1}{(0.5 \cdot 0.5s⁻¹) - 0.25s⁻¹})

Next Step Prepare to Evaluate

∴

θ ce = (\frac{1}{(0.5 \cdot 0.5) - 0.25})

Next Step Evaluate

∴

θ ce = 86400.00000047s

Next Step Convert to Output's Unit

∴

θ ce = 1.00000000000544d

LAST Step Rounding Answer

∴

θ ce = 1d

Sludge Age given Endogenous Respiration Rate Constant Formula Elements

Variables

Sludge Age given Endogenous Constant

Sludge Age given Endogenous Constant is the average length of time that solids (or sludge) remain in the treatment system before being removed, given endogenous rate constant.

Symbol: θ_ce

Measurement: TimeUnit: d

Note: Value should be greater than 0.

Formulas to find Sludge Age given Endogenous Constant

Maximum Yield Coefficient

Maximum Yield Coefficient is the maximum mg of cells produced per mg organic matter removed.

Symbol: Y

Measurement: NAUnit: Unitless

Note: Value should be between 0.4 to 0.8.

Formulas to find Maximum Yield Coefficient

Specific Substrate Utilization Rate

Specific Substrate Utilization Rate is the rate at which a microbial population consumes a substrate per unit of biomass present.

Symbol: U

Measurement: First Order Reaction Rate ConstantUnit: s⁻¹

Note: Value should be greater than 0.

Formulas to find Specific Substrate Utilization Rate

Endogenous Respiration Constant

Endogenous Respiration Constant is a rate constant that represents the rate of oxygen consumption due to the endogenous respiration of microorganisms in a biological treatment process.

Symbol: K_e

Measurement: First Order Reaction Rate ConstantUnit: d⁻¹

Note: Value should be greater than 0.

Formulas to find Endogenous Respiration Constant

Other formulas in Sludge Age category

Go Sludge Age

θ c = \frac{M ss}{M'}

Go Sludge Age given Total Solids Removed

θ ct = \frac{V \cdot X E}{M'}

Go Sludge Age given Concentration of Solids

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

Go Sludge Age given MLSS

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

How to Evaluate Sludge Age given Endogenous Respiration Rate Constant?

Sludge Age given Endogenous Respiration Rate Constant evaluator uses Sludge Age given Endogenous Constant = (1/((Maximum Yield Coefficient*Specific Substrate Utilization Rate)-Endogenous Respiration Constant)) to evaluate the Sludge Age given Endogenous Constant, The Sludge Age given Endogenous Respiration Rate Constant formula is defined as the calculation of sludge age when we have prior information of endogenous respiration rate constant. Sludge Age given Endogenous Constant is denoted by θ_ce symbol.

How to evaluate Sludge Age given Endogenous Respiration Rate Constant using this online evaluator? To use this online evaluator for Sludge Age given Endogenous Respiration Rate Constant, enter Maximum Yield Coefficient (Y), Specific Substrate Utilization Rate (U) & Endogenous Respiration Constant (K_e) and hit the calculate button.

FAQs on Sludge Age given Endogenous Respiration Rate Constant

What is the formula to find Sludge Age given Endogenous Respiration Rate Constant?

The formula of Sludge Age given Endogenous Respiration Rate Constant is expressed as Sludge Age given Endogenous Constant = (1/((Maximum Yield Coefficient*Specific Substrate Utilization Rate)-Endogenous Respiration Constant)). Here is an example- 1.2E-5 = (1/((0.5*0.5)-0.249988425925926)).

How to calculate Sludge Age given Endogenous Respiration Rate Constant?

With Maximum Yield Coefficient (Y), Specific Substrate Utilization Rate (U) & Endogenous Respiration Constant (K_e) we can find Sludge Age given Endogenous Respiration Rate Constant using the formula - Sludge Age given Endogenous Constant = (1/((Maximum Yield Coefficient*Specific Substrate Utilization Rate)-Endogenous Respiration Constant)).

Can the Sludge Age given Endogenous Respiration Rate Constant be negative?

No, the Sludge Age given Endogenous Respiration Rate Constant, measured in Time cannot be negative.

Which unit is used to measure Sludge Age given Endogenous Respiration Rate Constant?

Sludge Age given Endogenous Respiration Rate Constant 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 Endogenous Respiration Rate Constant can be measured.

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Sludge Age given Endogenous Respiration Rate Constant Formula

Sludge Age given Endogenous Respiration Rate Constant Example

Sludge Age given Endogenous Respiration Rate Constant Solution

Sludge Age given Endogenous Respiration Rate Constant Formula Elements

Other formulas in Sludge Age category

How to Evaluate Sludge Age given Endogenous Respiration Rate Constant?

FAQs on Sludge Age given Endogenous Respiration Rate Constant

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