Yield Coefficient given Quantity of Volatile Solids Calculator

✖Volatile Solids Produced refers to the organic fraction of the total solids present in the sludge.ⓘ Volatile Solids Produced [P_x]			+10% -10%
✖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.ⓘ Mean Cell Residence Time [θ_c]			+10% -10%
✖Endogenous Coefficient is referred as modeling the behavior of microorganisms, particularly in wastewater treatment processes.ⓘ Endogenous Coefficient [k_d]			+10% -10%
✖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.ⓘ BOD In [BOD_in]			+10% -10%
✖BOD Out referred as the amount of dissolved oxygen exits anaerobic digester.ⓘ BOD Out [BOD_out]			+10% -10%

✖Yield Coefficient is referred as the ratio of biomass (microbial cells) produced to the amount of substrate (organic material) consumed during the digestion process.ⓘ Yield Coefficient given Quantity of Volatile Solids [Y]

⎘ Copy

👎

Formula

✖

Yield Coefficient given Quantity of Volatile Solids

Formula

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

Example

0.409805 = \frac{100 kg/d \cdot (1 - 6.96 d \cdot 0.05 d⁻¹)}{164 kg/d - 4.9 kg/d}

Calculator

LaTeX

Reset

👍

Download Design of an Anaerobic Digester Formulas PDF PDF Image

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 referred as the ratio of biomass (microbial cells) produced to the amount of substrate (organic material) consumed during the digestion process.
Volatile Solids Produced - (Measured in Kilogram per Second) - Volatile Solids Produced refers to the organic fraction of the total solids present in the sludge.
Mean Cell Residence Time - (Measured in Second) - 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.
Endogenous Coefficient - (Measured in 1 Per Second) - Endogenous Coefficient is referred as modeling the behavior of microorganisms, particularly in wastewater treatment processes.
BOD In - (Measured in Kilogram per Second) - 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.
BOD Out - (Measured in Kilogram per Second) - BOD Out referred as 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: 6.96 Day --> 601344 Second (Check conversion here)
Endogenous Coefficient: 0.05 1 Per Day --> 5.78703703703704E-07 1 Per Second (Check conversion here)
BOD In: 164 Kilogram per Day --> 0.00189814814814815 Kilogram per Second (Check conversion here)
BOD Out: 4.9 Kilogram per Day --> 5.6712962962963E-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*(1-601344*5.78703703703704E-07))/(0.00189814814814815-5.6712962962963E-05)

Evaluating ... ...

Y = 0.409805153991201

STEP 3: Convert Result to Output's Unit

0.409805153991201 --> No Conversion Required

FINAL ANSWER

0.409805153991201 ≈ 0.409805 <-- Yield Coefficient

(Calculation completed in 00.020 seconds)

You are here -

Home » Engineering » Civil » Environmental Engineering » Design of an Anaerobic Digester » Yield Coefficient given Quantity of Volatile Solids

Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2100+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< Design of an Anaerobic Digester Calculators

Influent Sludge Flow Rate given Volume Required for Anaerobic Digester

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

Volume Required for Anaerobic Digester

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

Hydraulic Retention Time given Volume Required for Anaerobic Digester

Go Hydraulic Retention = (Volume/Influent Sludge 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?

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 formula is defined as the 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 -> 0.410063 = (0.00115740740740741*(1-601344*5.78703703703704E-07))/(0.00189814814814815-5.6712962962963E-05).

FAQ

What is Yield Coefficient given Quantity of Volatile Solids?

The Yield Coefficient given Quantity of Volatile Solids formula is defined as the 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 refers to the organic fraction of the total solids present in the sludge, 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, Endogenous Coefficient is referred as modeling the behavior of microorganisms, particularly in wastewater treatment processes, 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 & BOD Out referred as 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 formula is defined as the 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.

Home

FREE PDFs

🔍 Search