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BOD in given Quantity of Volatile Solids Formula

GoBOD in given Volume of Methane Gas Produced Formula

GoBOD in given Percent Stabilization Formula

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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. Check FAQs

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

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

BOD in given Quantity of Volatile Solids Example

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Here is how the BOD in given Quantity of Volatile Solids equation looks like with Values.

Here is how the BOD in given Quantity of Volatile Solids equation looks like with Units.

Here is how the BOD in given Quantity of Volatile Solids equation looks like.

163.9244 = (\frac{100}{0.41}) \cdot (1 - 0.05 \cdot 6.96) + 4.9

163.9244kg/d = (\frac{100kg/d}{0.41}) \cdot (1 - 0.05d⁻¹ \cdot 6.96d) + 4.9kg/d

163.9244 = (\frac{100}{0.41}) \cdot (1 - 0.05 \cdot 6.96) + 4.9

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BOD in given Quantity of Volatile Solids Solution

Follow our step by step solution on how to calculate BOD in given Quantity of Volatile Solids?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

BOD in = (\frac{0.0012kg/s}{0.41}) \cdot (1 - 5.8E-7s⁻¹ \cdot 601344s) + 5.7E-5kg/s

Next Step Prepare to Evaluate

∴

BOD in = (\frac{0.0012}{0.41}) \cdot (1 - 5.8E-7 \cdot 601344) + 5.7E-5

Next Step Evaluate

∴

BOD in = 0.00189727303523036kg/s

Next Step Convert to Output's Unit

∴

BOD in = 163.924390243903kg/d

LAST Step Rounding Answer

∴

BOD in = 163.9244kg/d

BOD in given Quantity of Volatile Solids Formula Elements

Variables

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

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

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

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 to find BOD In

Go BOD in given Volume of Methane Gas Produced

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

Go BOD in given Percent Stabilization

BOD in = \frac{BOD out \cdot 100 + 142 \cdot P x}{100 - %S}

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 BOD in given Quantity of Volatile Solids?

BOD in given Quantity of Volatile Solids evaluator uses BOD In = (Volatile Solids Produced/Yield Coefficient)*(1-Endogenous Coefficient*Mean Cell Residence Time)+BOD Out to evaluate the BOD In, The BOD in given Quantity of Volatile Solids formula is defined as the critical parameter used to gauge the amount of organic matter in water, which indicates the level of pollution. It measures the amount of dissolved oxygen required by aerobic microorganisms to decompose the organic material present in a water sample over a specified period, typically five days at 20°C. BOD In is denoted by BOD_in symbol.

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

FAQs on BOD in given Quantity of Volatile Solids

What is the formula to find BOD in given Quantity of Volatile Solids?

The formula of BOD in given Quantity of Volatile Solids is expressed as BOD In = (Volatile Solids Produced/Yield Coefficient)*(1-Endogenous Coefficient*Mean Cell Residence Time)+BOD Out. Here is an example- 1.4E+7 = (0.00115740740740741/0.41)*(1-5.78703703703704E-07*601344)+5.6712962962963E-05.

How to calculate BOD in given Quantity of Volatile Solids?

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

What are the other ways to Calculate BOD In?

Here are the different ways to Calculate BOD In-

BOD In=(Volume of Methane/5.62)+BOD Out+(1.42*Volatile Solids Produced)
BOD In=(BOD Out*100+142*Volatile Solids Produced)/(100-Percent Stabilization)

Can the BOD in given Quantity of Volatile Solids be negative?

No, the BOD in given Quantity of Volatile Solids, measured in Mass Flow Rate cannot be negative.

Which unit is used to measure BOD in given Quantity of Volatile Solids?

BOD in given Quantity of Volatile Solids 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 BOD in given Quantity of Volatile Solids can be measured.

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BOD in given Quantity of Volatile Solids Formula

​GoBOD in given Volume of Methane Gas Produced Formula

​GoBOD in given Percent Stabilization Formula

BOD in given Quantity of Volatile Solids Example

BOD in given Quantity of Volatile Solids Solution

BOD in given Quantity of Volatile Solids Formula Elements

Other Formulas to find BOD In

Other formulas in Design of an Anaerobic Digester category

How to Evaluate BOD in given Quantity of Volatile Solids?

FAQs on BOD in given Quantity of Volatile Solids

Variable Name

GoBOD in given Volume of Methane Gas Produced Formula

GoBOD in given Percent Stabilization Formula