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Yield Coefficient given Quantity of Volatile Solids Formula

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

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

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

Yield Coefficient given Quantity of Volatile Solids Example

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

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

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

0.4098 = \frac{100 \cdot (1 - 6.96 \cdot 0.05)}{164 - 4.9}

0.4098 = \frac{100kg/d \cdot (1 - 6.96d \cdot 0.05d⁻¹)}{164kg/d - 4.9kg/d}

0.4098 = \frac{100 \cdot (1 - 6.96 \cdot 0.05)}{164 - 4.9}

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Yield Coefficient given Quantity of Volatile Solids Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

Y = \frac{0.0012kg/s \cdot (1 - 601344s \cdot 5.8E-7s⁻¹)}{0.0019kg/s - 5.7E-5kg/s}

Next Step Prepare to Evaluate

∴

Y = \frac{0.0012 \cdot (1 - 601344 \cdot 5.8E-7)}{0.0019 - 5.7E-5}

Next Step Evaluate

∴

Y = 0.409805153991201

LAST Step Rounding Answer

∴

Y = 0.4098

Yield Coefficient given Quantity of Volatile Solids Formula Elements

Variables

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

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

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

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

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

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 Yield Coefficient given Quantity of Volatile Solids?

Yield Coefficient given Quantity of Volatile Solids evaluator uses Yield Coefficient = (Volatile Solids Produced*(1-Mean Cell Residence Time*Endogenous Coefficient))/(BOD In-BOD Out) to evaluate the Yield Coefficient, The Yield Coefficient given Quantity of Volatile Solids formula is defined as the ratio of volume of suspended solids and biological oxygen demand. Yield Coefficient is denoted by Y symbol.

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

FAQs on Yield Coefficient given Quantity of Volatile Solids

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

The formula of Yield Coefficient given Quantity of Volatile Solids is expressed as Yield Coefficient = (Volatile Solids Produced*(1-Mean Cell Residence Time*Endogenous Coefficient))/(BOD In-BOD Out). Here is an example- 0.410063 = (0.00115740740740741*(1-601344*5.78703703703704E-07))/(0.00189814814814815-5.6712962962963E-05).

How to calculate Yield Coefficient given Quantity of Volatile Solids?

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

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Yield Coefficient given Quantity of Volatile Solids Formula

Yield Coefficient given Quantity of Volatile Solids Example

Yield Coefficient given Quantity of Volatile Solids Solution

Yield Coefficient given Quantity of Volatile Solids Formula Elements

Other formulas in Design of an Anaerobic Digester category

How to Evaluate Yield Coefficient given Quantity of Volatile Solids?

FAQs on Yield Coefficient given Quantity of Volatile Solids

Variable Name