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Endogenous Respiration Rate Constant given Maximum Yield Coefficient Formula

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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. Check FAQs

K e = (Y \cdot U) - (\frac{1}{θ c})

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

Endogenous Respiration Rate Constant given Maximum Yield Coefficient Example

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Here is how the Endogenous Respiration Rate Constant given Maximum Yield Coefficient equation looks like with Values.

Here is how the Endogenous Respiration Rate Constant given Maximum Yield Coefficient equation looks like with Units.

Here is how the Endogenous Respiration Rate Constant given Maximum Yield Coefficient equation looks like.

21599.8 = (0.5 \cdot 0.5) - (\frac{1}{5})

21599.8d⁻¹ = (0.5 \cdot 0.5s⁻¹) - (\frac{1}{5d})

21599.8 = (0.5 \cdot 0.5) - (\frac{1}{5})

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Endogenous Respiration Rate Constant given Maximum Yield Coefficient Solution

Follow our step by step solution on how to calculate Endogenous Respiration Rate Constant given Maximum Yield Coefficient?

FIRST Step Consider the formula

K e = (Y \cdot U) - (\frac{1}{θ c})

Next Step Substitute values of Variables

∴

K e = (0.5 \cdot 0.5s⁻¹) - (\frac{1}{5d})

Next Step Convert Units

∴

K e = (0.5 \cdot 0.5s⁻¹) - (\frac{1}{432000s})

Next Step Prepare to Evaluate

∴

K e = (0.5 \cdot 0.5) - (\frac{1}{432000})

Next Step Evaluate

∴

K e = 0.249997685185185s⁻¹

LAST Step Convert to Output's Unit

∴

K e = 21599.8d⁻¹

Endogenous Respiration Rate Constant given Maximum Yield Coefficient Formula Elements

Variables

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

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

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 Endogenous Respiration Rate 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 Mass of Solids in Reactor

M s = V r \cdot X'

How to Evaluate Endogenous Respiration Rate Constant given Maximum Yield Coefficient?

Endogenous Respiration Rate Constant given Maximum Yield Coefficient evaluator uses Endogenous Respiration Constant = (Maximum Yield Coefficient*Specific Substrate Utilization Rate)-(1/Sludge Age) to evaluate the Endogenous Respiration Constant, The Endogenous Respiration Rate Constant given Maximum Yield Coefficient formula is defined as the calculation of rate constant that represents the rate of oxygen consumption due to the endogenous respiration of microorganisms in a biological treatment process. Endogenous Respiration Constant is denoted by K_e symbol.

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

FAQs on Endogenous Respiration Rate Constant given Maximum Yield Coefficient

What is the formula to find Endogenous Respiration Rate Constant given Maximum Yield Coefficient?

The formula of Endogenous Respiration Rate Constant given Maximum Yield Coefficient is expressed as Endogenous Respiration Constant = (Maximum Yield Coefficient*Specific Substrate Utilization Rate)-(1/Sludge Age). Here is an example- 1.9E+9 = (0.5*0.5)-(1/432000).

How to calculate Endogenous Respiration Rate Constant given Maximum Yield Coefficient?

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

Can the Endogenous Respiration Rate Constant given Maximum Yield Coefficient be negative?

No, the Endogenous Respiration Rate Constant given Maximum Yield Coefficient, measured in First Order Reaction Rate Constant cannot be negative.

Which unit is used to measure Endogenous Respiration Rate Constant given Maximum Yield Coefficient?

Endogenous Respiration Rate Constant given Maximum Yield Coefficient is usually measured using the 1 Per Day[d⁻¹] for First Order Reaction Rate Constant. 1 Per Second[d⁻¹], 1 Per Millisecond[d⁻¹], 1 Per Hour[d⁻¹] are the few other units in which Endogenous Respiration Rate Constant given Maximum Yield Coefficient can be measured.

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Endogenous Respiration Rate Constant given Maximum Yield Coefficient Formula

Endogenous Respiration Rate Constant given Maximum Yield Coefficient Example

Endogenous Respiration Rate Constant given Maximum Yield Coefficient Solution

Endogenous Respiration Rate Constant given Maximum Yield Coefficient Formula Elements

Other formulas in Endogenous Respiration Rate category

How to Evaluate Endogenous Respiration Rate Constant given Maximum Yield Coefficient?

FAQs on Endogenous Respiration Rate Constant given Maximum Yield Coefficient

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