BOD Out given Quantity of Volatile Solids Calculator

✖BOD in means the amount of dissolved oxygen enter anaerobic digester.ⓘ BOD in [BOD_in]			+10% -10%
✖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 given Quantity of Volatile Solids [BOD_out]

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Formula

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BOD Out given Quantity of Volatile Solids

Formula

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

Example

`"137kg/d"="150kg/d"-("100kg/d"/"5")*(1-"0.05d⁻¹"*"7d")`

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BOD Out given Quantity of Volatile Solids Solution

STEP 0: Pre-Calculation Summary

Formula Used

BOD out = 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)
This formula uses 6 Variables

Variables Used

BOD out - (Measured in Kilogram per Second) - BOD out means the amount of dissolved oxygen exits anaerobic digester.
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.

STEP 1: Convert Input(s) to Base Unit

BOD in: 150 Kilogram per Day --> 0.00173611111111111 Kilogram per Second (Check conversion here)
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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

BOD_out = BOD_in-(P_x/Y)*(1-k_d*θ_c) --> 0.00173611111111111-(0.00115740740740741/5)*(1-5.78703703703704E-07*604800)

Evaluating ... ...

BOD_out = 0.00158564814814815

STEP 3: Convert Result to Output's Unit

0.00158564814814815 Kilogram per Second -->137 Kilogram per Day (Check conversion here)

FINAL ANSWER

137 Kilogram per Day <-- BOD out

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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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 Out given Quantity of Volatile Solids Formula

BOD out = 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)

What is BOD ?

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 Out given Quantity of Volatile Solids?

BOD Out given Quantity of Volatile Solids calculator uses BOD out = BOD in-(Volatile Solids produced/Yield coefficient)*(1-Endogenous coefficient*Mean Cell Residence Time) to calculate the BOD out, The BOD Out given Quantity of Volatile Solids calculates the value of biological oxygen demand going out from the digester when other parameters is known. BOD out is denoted by BOD_out symbol.

How to calculate BOD Out given Quantity of Volatile Solids using this online calculator? To use this online calculator for BOD Out given Quantity of Volatile Solids, enter BOD in (BOD_in), Volatile Solids produced (P_x), Yield coefficient (Y), Endogenous coefficient (k_d) & Mean Cell Residence Time (θ_c) and hit the calculate button. Here is how the BOD Out given Quantity of Volatile Solids calculation can be explained with given input values -> 604800 = 0.00173611111111111-(0.00115740740740741/5)*(1-5.78703703703704E-07*604800).

FAQ

What is BOD Out given Quantity of Volatile Solids?

The BOD Out given Quantity of Volatile Solids calculates the value of biological oxygen demand going out from the digester when other parameters is known and is represented as BOD_out = BOD_in-(P_x/Y)*(1-k_d*θ_c) or BOD out = BOD in-(Volatile Solids produced/Yield coefficient)*(1-Endogenous coefficient*Mean Cell Residence Time). BOD in means the amount of dissolved oxygen enter anaerobic digester, 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.

How to calculate BOD Out given Quantity of Volatile Solids?

The BOD Out given Quantity of Volatile Solids calculates the value of biological oxygen demand going out from the digester when other parameters is known is calculated using BOD out = BOD in-(Volatile Solids produced/Yield coefficient)*(1-Endogenous coefficient*Mean Cell Residence Time). To calculate BOD Out given Quantity of Volatile Solids, you need BOD in (BOD_in), Volatile Solids produced (P_x), Yield coefficient (Y), Endogenous coefficient (k_d) & Mean Cell Residence Time (θ_c). With our tool, you need to enter the respective value for BOD in, Volatile Solids produced, Yield coefficient, Endogenous coefficient & Mean Cell Residence Time 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 out?

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

BOD out = (BOD in-(Volume of methane/5.62)-(1.42*Volatile Solids produced))
BOD out = (BOD in*100-142*Volatile Solids produced-Percent stabilization*BOD in)/100

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