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)
kd = ((Q*Y*(So-S))/(V*Xa))-(1/θc)
This formula uses 8 Variables
Variables Used
Endogenous decay coefficient - (Measured in 1 Per Second) - Endogenous decay coefficient is a coefficient representing the decrease of cell mass in the MLVSS.
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 Y represents the maximum mg of cells produced per mg organic matter removed.
Influent Substrate Concentration - (Measured in Milligram per Liter) - Influent Substrate Concentration is the concentration of BOD that is present in the influent.
Effluent substrate concentration - (Measured in Milligram per Liter) - Effluent substrate concentration is the concentration of the BOD present in the effluent.
Reactor Volume - (Measured in Cubic Meter) - The Reactor Volume gives us the capacity of the reactor.
MLVSS - (Measured in Milligram per Liter) - MLVSS is the concentration of microorganisms in the reactor.
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
kd = ((Q*Y*(So-S))/(V*Xa))-(1/θc) --> ((1.2*0.5*(25-15))/(1000*2500))-(1/604800)
Evaluating ... ...
kd = 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)

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!

2 Endogenous Decay Coefficient Calculators

Endogenous Decay Constant given Volume of Reactor
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
Go Endogenous decay coefficient = (Observed Cell Yield-Maximum Yield Coefficient)/Mean Cell Residence Time

Endogenous Decay Constant given Volume of Reactor Formula

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)
kd = ((Q*Y*(So-S))/(V*Xa))-(1/θc)

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?

The 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 is a coefficient representing the decrease of cell mass in the MLVSS. Endogenous decay coefficient is denoted by kd 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), Maximum Yield Coefficient (Y), Influent Substrate Concentration (So), Effluent substrate concentration (S), Reactor Volume (V), MLVSS (Xa) & Mean Cell Residence Time 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 -> 9275.904 = ((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 is a coefficient representing the decrease of cell mass in the MLVSS and is represented as kd = ((Q*Y*(So-S))/(V*Xa))-(1/θc) 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 Y represents the maximum mg of cells produced per mg organic matter removed, Influent Substrate Concentration is the concentration of BOD that is present in the influent, Effluent substrate concentration is the concentration of the BOD present in the effluent, The Reactor Volume gives us the capacity of the reactor, MLVSS is the concentration of microorganisms in the reactor & 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 is a coefficient representing the decrease of cell mass in the MLVSS 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), Maximum Yield Coefficient (Y), Influent Substrate Concentration (So), Effluent substrate concentration (S), Reactor Volume (V), MLVSS (Xa) & Mean Cell Residence Time 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
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!