Yield Coefficient given Quantity of Volatile Solids Calculator

✖Volatile solids produced is defined in terms of mass flow rate.ⓘ Volatile Solids produced [P_x]			+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%
✖Endogenous coefficient is used for designing a complete-mix activated-sludge system.ⓘ Endogenous coefficient [k_d]			+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%

✖Yield coefficient is defined as ratio of VSS to BOD.ⓘ Yield Coefficient given Quantity of Volatile Solids [Y]

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Yield Coefficient given Quantity of Volatile Solids

Formula

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

Example

`"0.448276"=("100kg/d"*(1-"7d"*"0.05d⁻¹"))/("150kg/d"-"5kg/d")`

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Yield Coefficient given Quantity of Volatile Solids Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Volatile Solids produced: 100 Kilogram per Day --> 0.00115740740740741 Kilogram per Second (Check conversion here)
Mean Cell Residence Time: 7 Day --> 604800 Second (Check conversion here)
Endogenous coefficient: 0.05 1 Per Day --> 5.78703703703704E-07 1 Per Second (Check conversion here)
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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Y = (P_x*(1-θ_c*k_d))/(BOD_in-BOD_out) --> (0.00115740740740741*(1-604800*5.78703703703704E-07))/(0.00173611111111111-5.78703703703704E-05)

Evaluating ... ...

Y = 0.448275862068967

STEP 3: Convert Result to Output's Unit

0.448275862068967 --> No Conversion Required

FINAL ANSWER

0.448275862068967 ≈ 0.448276 <-- Yield coefficient

(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)

Yield Coefficient given Quantity of Volatile Solids Formula

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

What is BOD ?

Biochemical oxygen demand is the amount of dissolved oxygen needed by aerobic biological organisms to break down organic material present in a given water sample at certain temperature over a specific time period.

How to Calculate Yield Coefficient given Quantity of Volatile Solids?

Yield Coefficient given Quantity of Volatile Solids calculator uses Yield coefficient = (Volatile Solids produced*(1-Mean Cell Residence Time*Endogenous coefficient))/(BOD in-BOD out) to calculate the Yield coefficient, The Yield Coefficient given Quantity of Volatile Solids is defined as teh ratio of volume of suspended solids and biological oxygen demand. Yield coefficient is denoted by Y symbol.

How to calculate Yield Coefficient given Quantity of Volatile Solids using this online calculator? To use this online calculator for Yield Coefficient given Quantity of Volatile Solids, enter Volatile Solids produced (P_x), Mean Cell Residence Time (θ_c), Endogenous coefficient (k_d), BOD in (BOD_in) & BOD out (BOD_out) and hit the calculate button. Here is how the Yield Coefficient given Quantity of Volatile Solids calculation can be explained with given input values -> 4.333333 = (0.00115740740740741*(1-604800*5.78703703703704E-07))/(0.00173611111111111-5.78703703703704E-05).

FAQ

What is Yield Coefficient given Quantity of Volatile Solids?

The Yield Coefficient given Quantity of Volatile Solids is defined as teh ratio of volume of suspended solids and biological oxygen demand and is represented as Y = (P_x*(1-θ_c*k_d))/(BOD_in-BOD_out) or Yield coefficient = (Volatile Solids produced*(1-Mean Cell Residence Time*Endogenous coefficient))/(BOD in-BOD out). Volatile solids produced is defined in terms of mass flow rate, Mean Cell Residence Time is the average time that the sludge remains in the reactor, Endogenous coefficient is used for designing a complete-mix activated-sludge system, BOD in means the amount of dissolved oxygen enter anaerobic digester & BOD out means the amount of dissolved oxygen exits anaerobic digester.

How to calculate Yield Coefficient given Quantity of Volatile Solids?

The Yield Coefficient given Quantity of Volatile Solids is defined as teh ratio of volume of suspended solids and biological oxygen demand is calculated using Yield coefficient = (Volatile Solids produced*(1-Mean Cell Residence Time*Endogenous coefficient))/(BOD in-BOD out). To calculate Yield Coefficient given Quantity of Volatile Solids, you need Volatile Solids produced (P_x), Mean Cell Residence Time (θ_c), Endogenous coefficient (k_d), BOD in (BOD_in) & BOD out (BOD_out). With our tool, you need to enter the respective value for Volatile Solids produced, Mean Cell Residence Time, Endogenous coefficient, BOD in & BOD out and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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