BOD in given Quantity of Volatile Solids Calculator

✖Volatile solids produced is defined in terms of mass flow rate.ⓘ Volatile Solids produced [P_x]			+10% -10%
✖Yield coefficient is defined as ratio of VSS to BOD.ⓘ Yield coefficient [Y]			+10% -10%
✖Endogenous coefficient is used for designing a complete-mix activated-sludge system.ⓘ Endogenous coefficient [k_d]			+10% -10%
✖Mean Cell Residence Time is the average time that the sludge remains in the reactor.ⓘ Mean Cell Residence Time [θ_c]			+10% -10%
✖BOD out means the amount of dissolved oxygen exits anaerobic digester.ⓘ BOD out [BOD_out]			+10% -10%

✖BOD in means the amount of dissolved oxygen enter anaerobic digester.ⓘ BOD in given Quantity of Volatile Solids [BOD_in]

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Formula

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BOD in given Quantity of Volatile Solids

Formula

`"BOD"_{"in"} = ("P"_{"x"}/"Y")*(1-"k"_{"d"}*"θ"_{"c"})+"BOD"_{"out"}`

Example

`"18kg/d"=("100kg/d"/"5")*(1-"0.05d⁻¹"*"7d")+"5kg/d"`

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BOD in given Quantity of Volatile Solids Solution

STEP 0: Pre-Calculation Summary

Formula Used

BOD in = (Volatile Solids produced/Yield coefficient)*(1-Endogenous coefficient*Mean Cell Residence Time)+BOD out
BOD_in = (P_x/Y)*(1-k_d*θ_c)+BOD_out
This formula uses 6 Variables

Variables Used

BOD in - (Measured in Kilogram per Second) - BOD in means the amount of dissolved oxygen enter anaerobic digester.
Volatile Solids produced - (Measured in Kilogram per Second) - Volatile solids produced is defined in terms of mass flow rate.
Yield coefficient - Yield coefficient is defined as ratio of VSS to BOD.
Endogenous coefficient - (Measured in 1 Per Second) - Endogenous coefficient is used for designing a complete-mix activated-sludge system.
Mean Cell Residence Time - (Measured in Second) - Mean Cell Residence Time is the average time that the sludge remains in the reactor.
BOD out - (Measured in Kilogram per Second) - BOD out means the amount of dissolved oxygen exits anaerobic digester.

STEP 1: Convert Input(s) to Base Unit

Volatile Solids produced: 100 Kilogram per Day --> 0.00115740740740741 Kilogram per Second (Check conversion here)
Yield coefficient: 5 --> No Conversion Required
Endogenous coefficient: 0.05 1 Per Day --> 5.78703703703704E-07 1 Per Second (Check conversion here)
Mean Cell Residence Time: 7 Day --> 604800 Second (Check conversion here)
BOD out: 5 Kilogram per Day --> 5.78703703703704E-05 Kilogram per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

BOD_in = (P_x/Y)*(1-k_d*θ_c)+BOD_out --> (0.00115740740740741/5)*(1-5.78703703703704E-07*604800)+5.78703703703704E-05

Evaluating ... ...

BOD_in = 0.000208333333333334

STEP 3: Convert Result to Output's Unit

0.000208333333333334 Kilogram per Second -->18 Kilogram per Day (Check conversion here)

FINAL ANSWER

18 Kilogram per Day <-- BOD in

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< 20 Design of an Anaerobic Digester Calculators

Endogenous Coefficient given Quantity of Volatile Solids

Go Endogenous coefficient = (1/Mean Cell Residence Time)-(Yield coefficient*(BOD in-BOD out)/(Volatile Solids produced*Mean Cell Residence Time))

Mean Cell Residence Time given Quantity of Volatile Solids

Go Mean Cell Residence Time = (1/Endogenous coefficient)-(Yield coefficient*(BOD in-BOD out)/(Volatile Solids produced*Endogenous coefficient))

Yield Coefficient given Quantity of Volatile Solids

Go Yield coefficient = (Volatile Solids produced*(1-Mean Cell Residence Time*Endogenous coefficient))/(BOD in-BOD out)

Quantity of Volatile Solids Produced Each Day

Go Volatile Solids produced = (Yield coefficient*(BOD in-BOD out))/(1-Endogenous coefficient*Mean Cell Residence Time)

BOD Out given Quantity of Volatile Solids

Go BOD out = BOD in-(Volatile Solids produced/Yield coefficient)*(1-Endogenous coefficient*Mean Cell Residence Time)

BOD in given Quantity of Volatile Solids

Go BOD in = (Volatile Solids produced/Yield coefficient)*(1-Endogenous coefficient*Mean Cell Residence Time)+BOD out

Volatile Solids produced given Percent Stabilization

Go Volatile Solids produced = (1/1.42)*(BOD in-BOD out-((Percent stabilization*BOD in)/100))

BOD Out given Percent Stabilization

Go BOD out = (BOD in*100-142*Volatile Solids produced-Percent stabilization*BOD in)/100

Percent Stabilization

Go Percent stabilization = ((BOD in-BOD out-1.42*Volatile Solids produced)/BOD in)*100

BOD in given Percent Stabilization

Go BOD in = (BOD out*100+142*Volatile Solids produced)/(100-Percent stabilization)

Volatile Solids produced given Volume of Methane Gas produced

Go Volatile Solids produced = (1/1.42)*(BOD in-BOD out-(Volume of methane/5.62))

BOD Out given Volume of Methane Gas Produced

Go BOD out = (BOD in-(Volume of methane/5.62)-(1.42*Volatile Solids produced))

BOD in given Volume of Methane Gas Produced

Go BOD in = (Volume of methane/5.62)+BOD out+(1.42*Volatile Solids produced)

Volume of Methane Gas Produced at Standard Conditions

Go Volume of methane = 5.62*(BOD in-BOD out-1.42*Volatile Solids produced)

Influent Sludge Flow Rate given Volume Required for Anaerobic Digester

Go Influent Sludge Flow Rate = (Volume/Hydraulic retention time)

Hydraulic Retention Time given Volume Required for Anaerobic Digester

Go Hydraulic Retention Time = (Volume/Influent Sludge Flow Rate)

Volume Required for Anaerobic Digester

Go Volume = (Hydraulic retention time*Influent Sludge Flow Rate)

Volumetric Flow Rate given Volumetric Loading in Anaerobic Digester

Go Volumetric Flow Rate = (BOD per day/Volumetric loading)

BOD Per Day given Volumetric Loading in Anaerobic Digester

Go BOD per day = (Volumetric loading*Volumetric Flow Rate)

Volumetric Loading in Anaerobic Digester

Go Volumetric loading = (BOD per day/Volumetric Flow Rate)

BOD in given Quantity of Volatile Solids Formula

BOD in = (Volatile Solids produced/Yield coefficient)*(1-Endogenous coefficient*Mean Cell Residence Time)+BOD out
BOD_in = (P_x/Y)*(1-k_d*θ_c)+BOD_out

What is biologic oxygen demand ?

Biological oxygen demand (BOD) (also called biochemical oxygen demand) refers to the amount of oxygen that would be consumed if all the organic materials in a one liter water sample were oxidised by bacteria and protozoa.

How to Calculate BOD in given Quantity of Volatile Solids?

BOD in given Quantity of Volatile Solids calculator uses BOD in = (Volatile Solids produced/Yield coefficient)*(1-Endogenous coefficient*Mean Cell Residence Time)+BOD out to calculate the BOD in, BOD in given Quantity of Volatile Solids calculates biological oxygen demand in when we have prior information of volatile solids , yield coefficient , mean cell residence time and bod out. BOD in is denoted by BOD_in symbol.

How to calculate BOD in given Quantity of Volatile Solids using this online calculator? To use this online calculator 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. Here is how the BOD in given Quantity of Volatile Solids calculation can be explained with given input values -> 1.6E+6 = (0.00115740740740741/5)*(1-5.78703703703704E-07*604800)+5.78703703703704E-05.

FAQ

What is BOD in given Quantity of Volatile Solids?

BOD in given Quantity of Volatile Solids calculates biological oxygen demand in when we have prior information of volatile solids , yield coefficient , mean cell residence time and bod out and is represented as BOD_in = (P_x/Y)*(1-k_d*θ_c)+BOD_out or BOD in = (Volatile Solids produced/Yield coefficient)*(1-Endogenous coefficient*Mean Cell Residence Time)+BOD out. Volatile solids produced is defined in terms of mass flow rate, Yield coefficient is defined as ratio of VSS to BOD, Endogenous coefficient is used for designing a complete-mix activated-sludge system, Mean Cell Residence Time is the average time that the sludge remains in the reactor & BOD out means the amount of dissolved oxygen exits anaerobic digester.

How to calculate BOD in given Quantity of Volatile Solids?

BOD in given Quantity of Volatile Solids calculates biological oxygen demand in when we have prior information of volatile solids , yield coefficient , mean cell residence time and bod out is calculated using BOD in = (Volatile Solids produced/Yield coefficient)*(1-Endogenous coefficient*Mean Cell Residence Time)+BOD out. To calculate BOD in given Quantity of Volatile Solids, you need Volatile Solids produced (P_x), Yield coefficient (Y), Endogenous coefficient (k_d), Mean Cell Residence Time (θ_c) & BOD out (BOD_out). With our tool, you need to enter the respective value for Volatile Solids produced, Yield coefficient, Endogenous coefficient, Mean Cell Residence Time & BOD out and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate BOD in?

In this formula, BOD in uses Volatile Solids produced, Yield coefficient, Endogenous coefficient, Mean Cell Residence Time & BOD out. We can use 2 other way(s) to calculate the same, which is/are as follows -

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)

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