Endogenous Coefficient given Quantity of Volatile Solids Calculator

✖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%
✖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%
✖Volatile Solids Produced refers to the organic fraction of the total solids present in the sludge.ⓘ Volatile Solids Produced [P_x]			+10% -10%

✖Endogenous Coefficient is referred as modeling the behavior of microorganisms, particularly in wastewater treatment processes.ⓘ Endogenous Coefficient given Quantity of Volatile Solids [k_d]

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Endogenous Coefficient given Quantity of Volatile Solids Solution

STEP 0: Pre-Calculation Summary

Formula Used

Endogenous Coefficient = (1/Mean Cell Residence Time)-(Yield Coefficient*(BOD In-BOD Out)/(Volatile Solids Produced*Mean Cell Residence Time))
k_d = (1/θ_c)-(Y*(BOD_in-BOD_out)/(P_x*θ_c))
This formula uses 6 Variables

Variables Used

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.
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.
Volatile Solids Produced - (Measured in Kilogram per Second) - Volatile Solids Produced refers to the organic fraction of the total solids present in the sludge.

STEP 1: Convert Input(s) to Base Unit

Mean Cell Residence Time: 6.96 Day --> 601344 Second (Check conversion here)
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)
Volatile Solids Produced: 100 Kilogram per Day --> 0.00115740740740741 Kilogram per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k_d = (1/θ_c)-(Y*(BOD_in-BOD_out)/(P_x*θ_c)) --> (1/601344)-(0.41*(0.00189814814814815-5.6712962962963E-05)/(0.00115740740740741*601344))

Evaluating ... ...

k_d = 5.78188191783739E-07

STEP 3: Convert Result to Output's Unit

5.78188191783739E-07 1 Per Second -->0.0499554597701151 1 Per Day (Check conversion here)

FINAL ANSWER

0.0499554597701151 ≈ 0.049955 1 Per Day <-- Endogenous Coefficient

(Calculation completed in 00.004 seconds)

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< Design of an Anaerobic Digester Calculators

Influent Sludge Flow Rate given Volume Required for Anaerobic Digester

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

Volume Required for Anaerobic Digester

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

Hydraulic Retention Time given Volume Required for Anaerobic Digester

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

Volumetric Loading in Anaerobic Digester

LaTeX Go Volumetric Loading = (BOD per Day/Volumetric Flow Rate)

Endogenous Coefficient given Quantity of Volatile Solids Formula

LaTeX Go

Endogenous Coefficient = (1/Mean Cell Residence Time)-(Yield Coefficient*(BOD In-BOD Out)/(Volatile Solids Produced*Mean Cell Residence Time))
k_d = (1/θ_c)-(Y*(BOD_in-BOD_out)/(P_x*θ_c))

What is Endogenous Decay Coefficient?

The Endogenous Decay Coefficient is used for designing a complete-mix activated-sludge system. It accounts for the loss in cell mass due to oxidation of internal storage products for energy for cell maintenance, cell death, and predation by organisms higher in the food chain.

How to Calculate Endogenous Coefficient given Quantity of Volatile Solids?

Endogenous Coefficient given Quantity of Volatile Solids calculator uses Endogenous Coefficient = (1/Mean Cell Residence Time)-(Yield Coefficient*(BOD In-BOD Out)/(Volatile Solids Produced*Mean Cell Residence Time)) to calculate the Endogenous Coefficient, The Endogenous Coefficient given Quantity of Volatile Solids formula is defined as the loss in cell mass due to oxidation of internal storage products for energy for cell maintenance. Endogenous Coefficient is denoted by k_d symbol.

How to calculate Endogenous Coefficient given Quantity of Volatile Solids using this online calculator? To use this online calculator for Endogenous Coefficient given Quantity of Volatile Solids, enter Mean Cell Residence Time (θ_c), Yield Coefficient (Y), BOD In (BOD_in), BOD Out (BOD_out) & Volatile Solids Produced (P_x) and hit the calculate button. Here is how the Endogenous Coefficient given Quantity of Volatile Solids calculation can be explained with given input values -> 4321.241 = (1/601344)-(0.41*(0.00189814814814815-5.6712962962963E-05)/(0.00115740740740741*601344)).

FAQ

What is Endogenous Coefficient given Quantity of Volatile Solids?

The Endogenous Coefficient given Quantity of Volatile Solids formula is defined as the loss in cell mass due to oxidation of internal storage products for energy for cell maintenance and is represented as k_d = (1/θ_c)-(Y*(BOD_in-BOD_out)/(P_x*θ_c)) or Endogenous Coefficient = (1/Mean Cell Residence Time)-(Yield Coefficient*(BOD In-BOD Out)/(Volatile Solids Produced*Mean Cell Residence Time)). 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, 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 & Volatile Solids Produced refers to the organic fraction of the total solids present in the sludge.

How to calculate Endogenous Coefficient given Quantity of Volatile Solids?

The Endogenous Coefficient given Quantity of Volatile Solids formula is defined as the loss in cell mass due to oxidation of internal storage products for energy for cell maintenance is calculated using Endogenous Coefficient = (1/Mean Cell Residence Time)-(Yield Coefficient*(BOD In-BOD Out)/(Volatile Solids Produced*Mean Cell Residence Time)). To calculate Endogenous Coefficient given Quantity of Volatile Solids, you need Mean Cell Residence Time (θ_c), Yield Coefficient (Y), BOD In (BOD_in), BOD Out (BOD_out) & Volatile Solids Produced (P_x). With our tool, you need to enter the respective value for Mean Cell Residence Time, Yield Coefficient, BOD In, BOD Out & Volatile Solids Produced 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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