Quantity of Volatile Solids Produced Each Day Calculator

✖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 [Y]			+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%
✖Endogenous Coefficient is referred as modeling the behavior of microorganisms, particularly in wastewater treatment processes.ⓘ Endogenous Coefficient [k_d]			+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%

✖Volatile Solids Produced refers to the organic fraction of the total solids present in the sludge.ⓘ Quantity of Volatile Solids Produced Each Day [P_x]

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Formula

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Quantity of Volatile Solids Produced Each Day

Formula

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

Example

100.0475 kg/d = \frac{0.41 \cdot (164 kg/d - 4.9 kg/d)}{1 - 0.05 d⁻¹ \cdot 6.96 d}

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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 refers to the organic fraction of the total solids present in the sludge.
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.
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.
Endogenous Coefficient - (Measured in 1 Per Second) - Endogenous Coefficient is referred as modeling the behavior of microorganisms, particularly in wastewater treatment processes.
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.

STEP 1: Convert Input(s) to Base Unit

Yield Coefficient: 0.41 --> No Conversion Required
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)
Endogenous Coefficient: 0.05 1 Per Day --> 5.78703703703704E-07 1 Per Second (Check conversion here)
Mean Cell Residence Time: 6.96 Day --> 601344 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) --> (0.41*(0.00189814814814815-5.6712962962963E-05))/(1-5.78703703703704E-07*601344)

Evaluating ... ...

P_x = 0.00115795770847535

STEP 3: Convert Result to Output's Unit

0.00115795770847535 Kilogram per Second -->100.04754601227 Kilogram per Day (Check conversion here)

FINAL ANSWER

100.04754601227 ≈ 100.0475 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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< 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)

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 are Volatile Solids?

Volatile Solids are a substance that can easily transform from its solid phase to its vapor phase without going through a liquid phase. Volatile solids normally represent the number 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 -> 8.6E+6 = (0.41*(0.00189814814814815-5.6712962962963E-05))/(1-5.78703703703704E-07*601344).

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 referred as the ratio of biomass (microbial cells) produced to the amount of substrate (organic material) consumed during the digestion process, 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, Endogenous Coefficient is referred as modeling the behavior of microorganisms, particularly in wastewater treatment processes & 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.

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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