Quantity of Volatile Solids Produced Each Day Calculator

✖Yield coefficient is defined as ratio of VSS to BOD.ⓘ Yield coefficient [Y]			+10% -10%
✖BOD in means the amount of dissolved oxygen enter anaerobic digester.ⓘ BOD in [BOD_in]			+10% -10%
✖BOD out means the amount of dissolved oxygen exits anaerobic digester.ⓘ BOD out [BOD_out]			+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%

✖Volatile solids produced is defined in terms of mass flow rate.ⓘ Quantity of Volatile Solids Produced Each Day [P_x]

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Quantity of Volatile Solids Produced Each Day

Formula

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

Example

`"1115.385kg/d"=("5"*("150kg/d"-"5kg/d"))/(1-"0.05d⁻¹"*"7d")`

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Quantity of Volatile Solids Produced Each Day Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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

Yield coefficient: 5 --> No Conversion Required
BOD in: 150 Kilogram per Day --> 0.00173611111111111 Kilogram per Second (Check conversion here)
BOD out: 5 Kilogram per Day --> 5.78703703703704E-05 Kilogram per Second (Check conversion here)
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

P_x = (Y*(BOD_in-BOD_out))/(1-k_d*θ_c) --> (5*(0.00173611111111111-5.78703703703704E-05))/(1-5.78703703703704E-07*604800)

Evaluating ... ...

P_x = 0.0129095441595442

STEP 3: Convert Result to Output's Unit

0.0129095441595442 Kilogram per Second -->1115.38461538462 Kilogram per Day (Check conversion here)

FINAL ANSWER

1115.38461538462 ≈ 1115.385 Kilogram per Day <-- Volatile Solids produced

(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)

Quantity of Volatile Solids Produced Each Day Formula

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

What is volatile solids ?

Volatile solids are a substance that can easily transform from its solid phase to its vapour phase without going through a liquid phase. Volatile solids normally represent the amount of organic solids in water, and have great importance in water and wastewater treatment.

How to Calculate Quantity of Volatile Solids Produced Each Day?

Quantity of Volatile Solids Produced Each Day calculator uses Volatile Solids produced = (Yield coefficient*(BOD in-BOD out))/(1-Endogenous coefficient*Mean Cell Residence Time) to calculate 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 calculate Quantity of Volatile Solids Produced Each Day using this online calculator? To use this online calculator 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. Here is how the Quantity of Volatile Solids Produced Each Day calculation can be explained with given input values -> 1E+7 = (5*(0.00173611111111111-5.78703703703704E-05))/(1-5.78703703703704E-07*604800).

FAQ

What is Quantity of Volatile Solids Produced Each Day?

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 and is represented as P_x = (Y*(BOD_in-BOD_out))/(1-k_d*θ_c) or Volatile Solids produced = (Yield coefficient*(BOD in-BOD out))/(1-Endogenous coefficient*Mean Cell Residence Time). Yield coefficient is defined as ratio of VSS to BOD, BOD in means the amount of dissolved oxygen enter anaerobic digester, BOD out means the amount of dissolved oxygen exits anaerobic digester, 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 Quantity of Volatile Solids Produced Each Day?

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 is calculated using Volatile Solids produced = (Yield coefficient*(BOD in-BOD out))/(1-Endogenous coefficient*Mean Cell Residence Time). To calculate Quantity of Volatile Solids Produced Each Day, you need Yield coefficient (Y), BOD in (BOD_in), BOD out (BOD_out), Endogenous coefficient (k_d) & Mean Cell Residence Time (θ_c). With our tool, you need to enter the respective value for Yield coefficient, BOD in, BOD out, 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 Volatile Solids produced?

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

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))

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