Endogenous Decay Constant given Volume of Reactor Calculator

✖Average Daily Influent Flow Rate is the total discharge that comes in the reactor.ⓘ Average Daily Influent Flow Rate [Q_a]			+10% -10%
✖Maximum Yield Coefficient refers to the maximum mg of cells produced per mg organic matter removed.ⓘ Maximum Yield Coefficient [Y]			+10% -10%
✖Influent Substrate Concentration refers to the concentration of organic matter or nutrients in the raw wastewater entering a treatment plant.ⓘ Influent Substrate Concentration [S_o]			+10% -10%
✖Effluent Substrate Concentration refers to the concentration of organic matter or nutrients present in the treated wastewater (effluent) that is discharged from a wastewater treatment plant.ⓘ Effluent Substrate Concentration [S]			+10% -10%
✖Reactor Volume refers to the physical volume of a reactor used in chemical processes.ⓘ Reactor Volume [V]			+10% -10%
✖MLVSS refers to the amount of active microbial biomass, which is crucial for the biological degradation of organic pollutants.ⓘ MLVSS [X_a]			+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 Decay Coefficient refers to the rate at which microorganisms in the biomass consume their own cell mass in the absence of an external food source.ⓘ Endogenous Decay Constant given Volume of Reactor [k_d]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Environmental Engineering Formula PDF PDF Image

Endogenous Decay Constant given Volume of Reactor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Endogenous Decay Coefficient = ((Average Daily Influent Flow Rate*Maximum Yield Coefficient*(Influent Substrate Concentration-Effluent Substrate Concentration))/(Reactor Volume*MLVSS))-(1/Mean Cell Residence Time)
k_d = ((Q_a*Y*(S_o-S))/(V*X_a))-(1/θ_c)
This formula uses 8 Variables

Variables Used

Endogenous Decay Coefficient - (Measured in 1 Per Second) - Endogenous Decay Coefficient refers to the rate at which microorganisms in the biomass consume their own cell mass in the absence of an external food source.
Average Daily Influent Flow Rate - (Measured in Cubic Meter per Day) - Average Daily Influent Flow Rate is the total discharge that comes in the reactor.
Maximum Yield Coefficient - Maximum Yield Coefficient refers to the maximum mg of cells produced per mg organic matter removed.
Influent Substrate Concentration - (Measured in Milligram per Liter) - Influent Substrate Concentration refers to the concentration of organic matter or nutrients in the raw wastewater entering a treatment plant.
Effluent Substrate Concentration - (Measured in Milligram per Liter) - Effluent Substrate Concentration refers to the concentration of organic matter or nutrients present in the treated wastewater (effluent) that is discharged from a wastewater treatment plant.
Reactor Volume - (Measured in Cubic Meter) - Reactor Volume refers to the physical volume of a reactor used in chemical processes.
MLVSS - (Measured in Milligram per Liter) - MLVSS refers to the amount of active microbial biomass, which is crucial for the biological degradation of organic pollutants.
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

Average Daily Influent Flow Rate: 1.2 Cubic Meter per Day --> 1.2 Cubic Meter per Day No Conversion Required
Maximum Yield Coefficient: 0.5 --> No Conversion Required
Influent Substrate Concentration: 25 Milligram per Liter --> 25 Milligram per Liter No Conversion Required
Effluent Substrate Concentration: 15 Milligram per Liter --> 15 Milligram per Liter No Conversion Required
Reactor Volume: 1000 Cubic Meter --> 1000 Cubic Meter No Conversion Required
MLVSS: 2500 Milligram per Liter --> 2500 Milligram per Liter No Conversion Required
Mean Cell Residence Time: 7 Day --> 604800 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k_d = ((Q_a*Y*(S_o-S))/(V*X_a))-(1/θ_c) --> ((1.2*0.5*(25-15))/(1000*2500))-(1/604800)

Evaluating ... ...

k_d = 7.46560846560846E-07

STEP 3: Convert Result to Output's Unit

7.46560846560846E-07 1 Per Second -->0.0645028571428571 1 Per Day (Check conversion here)

FINAL ANSWER

0.0645028571428571 ≈ 0.064503 1 Per Day <-- Endogenous Decay Coefficient

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Environmental Engineering » Design of a Complete Mix Activated Sludge Reactor » Coefficient » Endogenous Decay Coefficient » Endogenous Decay Constant given Volume of Reactor

Credits

Created by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has created this Calculator and 500+ more calculators!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has verified this Calculator and 1700+ more calculators!

< Endogenous Decay Coefficient Calculators

Endogenous Decay Constant given Volume of Reactor

LaTeX Go Endogenous Decay Coefficient = ((Average Daily Influent Flow Rate*Maximum Yield Coefficient*(Influent Substrate Concentration-Effluent Substrate Concentration))/(Reactor Volume*MLVSS))-(1/Mean Cell Residence Time)

Endogenous Decay Coefficient given Observed Cell Yield

LaTeX Go Endogenous Decay Coefficient = (Observed Cell Yield-Maximum Yield Coefficient)/Mean Cell Residence Time

Endogenous Decay Constant given Volume of Reactor Formula

LaTeX Go

What is Volume of Reactor?

The Volume of the Reactor is the total capacity of the reactor which is allowed in the reactor. It is calculated in cubic meters.

What is the purpose of Activated Sludge Process?

Activated Sludge Process is a multi-chamber reactor unit that uses highly concentrated microorganisms to degrade organics and remove nutrients from wastewater, producing quality effluent. The goal is to maintain aerobic conditions and to keep the activated sludge suspended.

How to Calculate Endogenous Decay Constant given Volume of Reactor?

Endogenous Decay Constant given Volume of Reactor calculator uses Endogenous Decay Coefficient = ((Average Daily Influent Flow Rate*Maximum Yield Coefficient*(Influent Substrate Concentration-Effluent Substrate Concentration))/(Reactor Volume*MLVSS))-(1/Mean Cell Residence Time) to calculate the Endogenous Decay Coefficient, The Endogenous Decay Constant given Volume of Reactor formula is defined as the rate at which biomass decays due to endogenous respiration and other decay processes. Endogenous Decay Coefficient is denoted by k_d symbol.

How to calculate Endogenous Decay Constant given Volume of Reactor using this online calculator? To use this online calculator for Endogenous Decay Constant given Volume of Reactor, enter Average Daily Influent Flow Rate (Q_a), Maximum Yield Coefficient (Y), Influent Substrate Concentration (S_o), Effluent Substrate Concentration (S), Reactor Volume (V), MLVSS (X_a) & Mean Cell Residence Time (θ_c) and hit the calculate button. Here is how the Endogenous Decay Constant given Volume of Reactor calculation can be explained with given input values -> 5573.047 = ((1.38888888888889E-05*0.5*(0.025-0.015))/(1000*2.5))-(1/604800).

FAQ

What is Endogenous Decay Constant given Volume of Reactor?

The Endogenous Decay Constant given Volume of Reactor formula is defined as the rate at which biomass decays due to endogenous respiration and other decay processes and is represented as k_d = ((Q_a*Y*(S_o-S))/(V*X_a))-(1/θ_c) or Endogenous Decay Coefficient = ((Average Daily Influent Flow Rate*Maximum Yield Coefficient*(Influent Substrate Concentration-Effluent Substrate Concentration))/(Reactor Volume*MLVSS))-(1/Mean Cell Residence Time). Average Daily Influent Flow Rate is the total discharge that comes in the reactor, Maximum Yield Coefficient refers to the maximum mg of cells produced per mg organic matter removed, Influent Substrate Concentration refers to the concentration of organic matter or nutrients in the raw wastewater entering a treatment plant, Effluent Substrate Concentration refers to the concentration of organic matter or nutrients present in the treated wastewater (effluent) that is discharged from a wastewater treatment plant, Reactor Volume refers to the physical volume of a reactor used in chemical processes, MLVSS refers to the amount of active microbial biomass, which is crucial for the biological degradation of organic pollutants & Mean Cell Residence Time is the average time that the sludge remains in the reactor.

How to calculate Endogenous Decay Constant given Volume of Reactor?

The Endogenous Decay Constant given Volume of Reactor formula is defined as the rate at which biomass decays due to endogenous respiration and other decay processes is calculated using Endogenous Decay Coefficient = ((Average Daily Influent Flow Rate*Maximum Yield Coefficient*(Influent Substrate Concentration-Effluent Substrate Concentration))/(Reactor Volume*MLVSS))-(1/Mean Cell Residence Time). To calculate Endogenous Decay Constant given Volume of Reactor, you need Average Daily Influent Flow Rate (Q_a), Maximum Yield Coefficient (Y), Influent Substrate Concentration (S_o), Effluent Substrate Concentration (S), Reactor Volume (V), MLVSS (X_a) & Mean Cell Residence Time (θ_c). With our tool, you need to enter the respective value for Average Daily Influent Flow Rate, Maximum Yield Coefficient, Influent Substrate Concentration, Effluent Substrate Concentration, Reactor Volume, MLVSS & 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 Endogenous Decay Coefficient?

In this formula, Endogenous Decay Coefficient uses Average Daily Influent Flow Rate, Maximum Yield Coefficient, Influent Substrate Concentration, Effluent Substrate Concentration, Reactor Volume, MLVSS & Mean Cell Residence Time. We can use 1 other way(s) to calculate the same, which is/are as follows -

Endogenous Decay Coefficient = (Observed Cell Yield-Maximum Yield Coefficient)/Mean Cell Residence Time

Home

FREE PDFs

🔍 Search