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Quantity of Volatile Solids Produced Each Day Formula

GoVolatile Solids produced given Volume of Methane Gas produced Formula

GoVolatile Solids produced given Percent Stabilization Formula

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

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

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

Quantity of Volatile Solids Produced Each Day Example

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Here is how the Quantity of Volatile Solids Produced Each Day equation looks like with Values.

Here is how the Quantity of Volatile Solids Produced Each Day equation looks like with Units.

Here is how the Quantity of Volatile Solids Produced Each Day equation looks like.

100.0475 = \frac{0.41 \cdot (164 - 4.9)}{1 - 0.05 \cdot 6.96}

100.0475kg/d = \frac{0.41 \cdot (164kg/d - 4.9kg/d)}{1 - 0.05d⁻¹ \cdot 6.96d}

100.0475 = \frac{0.41 \cdot (164 - 4.9)}{1 - 0.05 \cdot 6.96}

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Quantity of Volatile Solids Produced Each Day Solution

Follow our step by step solution on how to calculate Quantity of Volatile Solids Produced Each Day?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

P x = \frac{0.41 \cdot (0.0019kg/s - 5.7E-5kg/s)}{1 - 5.8E-7s⁻¹ \cdot 601344s}

Next Step Prepare to Evaluate

∴

P x = \frac{0.41 \cdot (0.0019 - 5.7E-5)}{1 - 5.8E-7 \cdot 601344}

Next Step Evaluate

∴

P x = 0.00115795770847535kg/s

Next Step Convert to Output's Unit

∴

P x = 100.04754601227kg/d

LAST Step Rounding Answer

∴

P x = 100.0475kg/d

Quantity of Volatile Solids Produced Each Day Formula Elements

Variables

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

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

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

Other Formulas to find Volatile Solids Produced

Go Volatile Solids produced given Volume of Methane Gas produced

P x = (\frac{1}{1.42}) \cdot (BOD in - BOD out - (\frac{V CH4}{5.62}))

Go Volatile Solids produced given Percent Stabilization

P x = (\frac{1}{1.42}) \cdot (BOD in - BOD out - (\frac{%S \cdot BOD in}{100}))

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 Quantity of Volatile Solids Produced Each Day?

Quantity of Volatile Solids Produced Each Day evaluator uses Volatile Solids Produced = (Yield Coefficient*(BOD In-BOD Out))/(1-Endogenous Coefficient*Mean Cell Residence Time) to evaluate the Volatile Solids Produced, The Quantity of Volatile Solids Produced Each Day calculates quantity of volatile solids when we have prior information of bod and mean cell residence time. Volatile Solids Produced is denoted by P_x symbol.

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

FAQs on Quantity of Volatile Solids Produced Each Day

What is the formula to find Quantity of Volatile Solids Produced Each Day?

The formula of Quantity of Volatile Solids Produced Each Day is expressed as Volatile Solids Produced = (Yield Coefficient*(BOD In-BOD Out))/(1-Endogenous Coefficient*Mean Cell Residence Time). Here is an example- 8.6E+6 = (0.41*(0.00189814814814815-5.6712962962963E-05))/(1-5.78703703703704E-07*601344).

How to calculate Quantity of Volatile Solids Produced Each Day?

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

What are the other ways to Calculate Volatile Solids Produced?

Here are the different ways to Calculate Volatile Solids Produced-

Volatile Solids Produced=(1/1.42)*(BOD In-BOD Out-(Volume of Methane/5.62))
Volatile Solids Produced=(1/1.42)*(BOD In-BOD Out-((Percent Stabilization*BOD In)/100))

Can the Quantity of Volatile Solids Produced Each Day be negative?

No, the Quantity of Volatile Solids Produced Each Day, measured in Mass Flow Rate cannot be negative.

Which unit is used to measure Quantity of Volatile Solids Produced Each Day?

Quantity of Volatile Solids Produced Each Day is usually measured using the Kilogram per Day[kg/d] for Mass Flow Rate. Kilogram per Second[kg/d], Gram per Second[kg/d], Gram per Hour[kg/d] are the few other units in which Quantity of Volatile Solids Produced Each Day can be measured.

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Quantity of Volatile Solids Produced Each Day Formula

​GoVolatile Solids produced given Volume of Methane Gas produced Formula

​GoVolatile Solids produced given Percent Stabilization Formula

Quantity of Volatile Solids Produced Each Day Example

Quantity of Volatile Solids Produced Each Day Solution

Quantity of Volatile Solids Produced Each Day Formula Elements

Other Formulas to find Volatile Solids Produced

Other formulas in Design of an Anaerobic Digester category

How to Evaluate Quantity of Volatile Solids Produced Each Day?

FAQs on Quantity of Volatile Solids Produced Each Day

Variable Name

GoVolatile Solids produced given Volume of Methane Gas produced Formula

GoVolatile Solids produced given Percent Stabilization Formula