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Endogenous Coefficient given Quantity of Volatile Solids Formula

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Endogenous Coefficient is referred as modeling the behavior of microorganisms, particularly in wastewater treatment processes. Check FAQs

k d = (\frac{1}{θ c}) - (Y \cdot \frac{BOD in - BOD out}{P x \cdot θ c})

k_d - Endogenous Coefficient?θ_c - Mean Cell Residence Time?Y - Yield Coefficient?BOD_in - BOD In?BOD_out - BOD Out?P_x - Volatile Solids Produced?

Endogenous Coefficient given Quantity of Volatile Solids Example

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Here is how the Endogenous Coefficient given Quantity of Volatile Solids equation looks like with Values.

Here is how the Endogenous Coefficient given Quantity of Volatile Solids equation looks like with Units.

Here is how the Endogenous Coefficient given Quantity of Volatile Solids equation looks like.

0.05 = (\frac{1}{6.96}) - (0.41 \cdot \frac{164 - 4.9}{100 \cdot 6.96})

0.05d⁻¹ = (\frac{1}{6.96d}) - (0.41 \cdot \frac{164kg/d - 4.9kg/d}{100kg/d \cdot 6.96d})

0.05 = (\frac{1}{6.96}) - (0.41 \cdot \frac{164 - 4.9}{100 \cdot 6.96})

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Endogenous Coefficient given Quantity of Volatile Solids Solution

Follow our step by step solution on how to calculate Endogenous Coefficient given Quantity of Volatile Solids?

FIRST Step Consider the formula

k d = (\frac{1}{θ c}) - (Y \cdot \frac{BOD in - BOD out}{P x \cdot θ c})

Next Step Substitute values of Variables

∴

k d = (\frac{1}{6.96d}) - (0.41 \cdot \frac{164kg/d - 4.9kg/d}{100kg/d \cdot 6.96d})

Next Step Convert Units

∴

k d = (\frac{1}{601344s}) - (0.41 \cdot \frac{0.0019kg/s - 5.7E-5kg/s}{0.0012kg/s \cdot 601344s})

Next Step Prepare to Evaluate

∴

k d = (\frac{1}{601344}) - (0.41 \cdot \frac{0.0019 - 5.7E-5}{0.0012 \cdot 601344})

Next Step Evaluate

∴

k d = 5.78188191783739E-07s⁻¹

Next Step Convert to Output's Unit

∴

k d = 0.0499554597701151d⁻¹

LAST Step Rounding Answer

∴

k d = 0.05d⁻¹

Endogenous Coefficient given Quantity of Volatile Solids Formula Elements

Variables

Endogenous Coefficient

Endogenous Coefficient is referred as modeling the behavior of microorganisms, particularly in wastewater treatment processes.

Symbol: k_d

Measurement: First Order Reaction Rate ConstantUnit: d⁻¹

Note: Value should be greater than 0.

Formulas to find Endogenous Coefficient

Mean Cell Residence Time

Mean Cell Residence Time refers to a measure of the extent to which organic matter in sludge has been decomposed or stabilized through treatment processes.

Symbol: θ_c

Measurement: TimeUnit: d

Note: Value should be between 5 to 15.

Formulas to find Mean Cell Residence Time

Yield Coefficient

Yield Coefficient is referred as the ratio of biomass (microbial cells) produced to the amount of substrate (organic material) consumed during the digestion process.

Symbol: Y

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Yield Coefficient

BOD In

BOD In in anaerobic digester design lies in its role as an indicator of the organic load present in the feedstock. High BOD levels suggest a greater concentration of organic matter.

Symbol: BOD_in

Measurement: Mass Flow RateUnit: kg/d

Note: Value should be greater than 0.

Formulas to find BOD In

BOD Out

BOD Out referred as the amount of dissolved oxygen exits anaerobic digester.

Symbol: BOD_out

Measurement: Mass Flow RateUnit: kg/d

Note: Value should be greater than 0.

Formulas to find BOD Out

Volatile Solids Produced

Volatile Solids Produced refers to the organic fraction of the total solids present in the sludge.

Symbol: P_x

Measurement: Mass Flow RateUnit: kg/d

Note: Value should be greater than 0.

Formulas to find Volatile Solids Produced

Other formulas in Design of an Anaerobic Digester category

Go Volume Required for Anaerobic Digester

V T = (θ \cdot Q s)

Go Hydraulic Retention Time given Volume Required for Anaerobic Digester

θ h = (\frac{V T}{Q s})

Go Influent Sludge Flow Rate given Volume Required for Anaerobic Digester

Q s = (\frac{V T}{θ})

Go Volumetric Loading in Anaerobic Digester

V l = (\frac{BOD day}{V})

How to Evaluate Endogenous Coefficient given Quantity of Volatile Solids?

Endogenous Coefficient given Quantity of Volatile Solids evaluator uses Endogenous Coefficient = (1/Mean Cell Residence Time)-(Yield Coefficient*(BOD In-BOD Out)/(Volatile Solids Produced*Mean Cell Residence Time)) to evaluate the Endogenous Coefficient, The Endogenous Coefficient given Quantity of Volatile Solids formula is defined as the loss in cell mass due to oxidation of internal storage products for energy for cell maintenance. Endogenous Coefficient is denoted by k_d symbol.

How to evaluate Endogenous Coefficient given Quantity of Volatile Solids using this online evaluator? To use this online evaluator for Endogenous Coefficient given Quantity of Volatile Solids, enter Mean Cell Residence Time (θ_c), Yield Coefficient (Y), BOD In (BOD_in), BOD Out (BOD_out) & Volatile Solids Produced (P_x) and hit the calculate button.

FAQs on Endogenous Coefficient given Quantity of Volatile Solids

What is the formula to find Endogenous Coefficient given Quantity of Volatile Solids?

The formula of Endogenous Coefficient given Quantity of Volatile Solids is expressed as Endogenous Coefficient = (1/Mean Cell Residence Time)-(Yield Coefficient*(BOD In-BOD Out)/(Volatile Solids Produced*Mean Cell Residence Time)). Here is an example- 4321.241 = (1/601344)-(0.41*(0.00189814814814815-5.6712962962963E-05)/(0.00115740740740741*601344)).

How to calculate Endogenous Coefficient given Quantity of Volatile Solids?

With Mean Cell Residence Time (θ_c), Yield Coefficient (Y), BOD In (BOD_in), BOD Out (BOD_out) & Volatile Solids Produced (P_x) we can find Endogenous Coefficient given Quantity of Volatile Solids using the formula - Endogenous Coefficient = (1/Mean Cell Residence Time)-(Yield Coefficient*(BOD In-BOD Out)/(Volatile Solids Produced*Mean Cell Residence Time)).

Can the Endogenous Coefficient given Quantity of Volatile Solids be negative?

No, the Endogenous Coefficient given Quantity of Volatile Solids, measured in First Order Reaction Rate Constant cannot be negative.

Which unit is used to measure Endogenous Coefficient given Quantity of Volatile Solids?

Endogenous Coefficient given Quantity of Volatile Solids 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 Coefficient given Quantity of Volatile Solids can be measured.

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Endogenous Coefficient given Quantity of Volatile Solids Formula

Endogenous Coefficient given Quantity of Volatile Solids Example

Endogenous Coefficient given Quantity of Volatile Solids Solution

Endogenous Coefficient given Quantity of Volatile Solids Formula Elements

Other formulas in Design of an Anaerobic Digester category

How to Evaluate Endogenous Coefficient given Quantity of Volatile Solids?

FAQs on Endogenous Coefficient given Quantity of Volatile Solids

Variable Name