Endogenous Respiration Rate Constant given Maximum Yield Coefficient Solution

STEP 0: Pre-Calculation Summary
Formula Used
Endogenous Respiration Rate Constant = (Maximum Yield Coefficient*Specific Substrate Utilisation Rate)-(1/Sludge Age)
Ke = (Y*U)-(1/θc)
This formula uses 4 Variables
Variables Used
Endogenous Respiration Rate Constant - (Measured in 1 Per Second) - Endogenous Respiration Rate Constant is used for designing a complete-mix activated-sludge system.
Maximum Yield Coefficient - Maximum Yield Coefficient Y represents the maximum mg of cells produced per mg organic matter removed.
Specific Substrate Utilisation Rate - (Measured in 1 Per Second) - Specific Substrate Utilisation Rate is related to the specific growth rate.
Sludge Age - (Measured in Second) - Sludge Age is the average time for which the particle of suspended solids remains in aeration.
STEP 1: Convert Input(s) to Base Unit
Maximum Yield Coefficient: 0.5 --> No Conversion Required
Specific Substrate Utilisation Rate: 0.5 1 Per Second --> 0.5 1 Per Second No Conversion Required
Sludge Age: 5 Day --> 432000 Second (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ke = (Y*U)-(1/θc) --> (0.5*0.5)-(1/432000)
Evaluating ... ...
Ke = 0.249997685185185
STEP 3: Convert Result to Output's Unit
0.249997685185185 1 Per Second -->21599.8 1 Per Day (Check conversion here)
FINAL ANSWER
21599.8 1 Per Day <-- Endogenous Respiration Rate Constant
(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri
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2 Endogenous Respiration Rate Calculators

Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge
Go Endogenous Respiration Rate Constant = ((Maximum Yield Coefficient*Sewage Discharge*(Influent BOD-Effluent BOD))-Mass of Solids)/(MLSS*Volume of Tank)
Endogenous Respiration Rate Constant given Maximum Yield Coefficient
Go Endogenous Respiration Rate Constant = (Maximum Yield Coefficient*Specific Substrate Utilisation Rate)-(1/Sludge Age)

Endogenous Respiration Rate Constant given Maximum Yield Coefficient Formula

Endogenous Respiration Rate Constant = (Maximum Yield Coefficient*Specific Substrate Utilisation Rate)-(1/Sludge Age)
Ke = (Y*U)-(1/θc)

What is sludge age ?

The common range for sludge age for a conventional activated sludge plant is between 3 and 15 days. For extended aeration activated sludge plants the range is between about 15 and 30 days. Generally during the winter months, higher sludge ages are required to maintain a sufficient biological mass.

How to Calculate Endogenous Respiration Rate Constant given Maximum Yield Coefficient?

Endogenous Respiration Rate Constant given Maximum Yield Coefficient calculator uses Endogenous Respiration Rate Constant = (Maximum Yield Coefficient*Specific Substrate Utilisation Rate)-(1/Sludge Age) to calculate the Endogenous Respiration Rate Constant, Endogenous Respiration Rate Constant given Maximum Yield Coefficient calculates value of endogenous respiration rate constant when we have prior information of other parameters used. Endogenous Respiration Rate Constant is denoted by Ke symbol.

How to calculate Endogenous Respiration Rate Constant given Maximum Yield Coefficient using this online calculator? To use this online calculator for Endogenous Respiration Rate Constant given Maximum Yield Coefficient, enter Maximum Yield Coefficient (Y), Specific Substrate Utilisation Rate (U) & Sludge Age c) and hit the calculate button. Here is how the Endogenous Respiration Rate Constant given Maximum Yield Coefficient calculation can be explained with given input values -> 7.5E+9 = (0.5*0.5)-(1/432000).

FAQ

What is Endogenous Respiration Rate Constant given Maximum Yield Coefficient?
Endogenous Respiration Rate Constant given Maximum Yield Coefficient calculates value of endogenous respiration rate constant when we have prior information of other parameters used and is represented as Ke = (Y*U)-(1/θc) or Endogenous Respiration Rate Constant = (Maximum Yield Coefficient*Specific Substrate Utilisation Rate)-(1/Sludge Age). Maximum Yield Coefficient Y represents the maximum mg of cells produced per mg organic matter removed, Specific Substrate Utilisation Rate is related to the specific growth rate & Sludge Age is the average time for which the particle of suspended solids remains in aeration.
How to calculate Endogenous Respiration Rate Constant given Maximum Yield Coefficient?
Endogenous Respiration Rate Constant given Maximum Yield Coefficient calculates value of endogenous respiration rate constant when we have prior information of other parameters used is calculated using Endogenous Respiration Rate Constant = (Maximum Yield Coefficient*Specific Substrate Utilisation Rate)-(1/Sludge Age). To calculate Endogenous Respiration Rate Constant given Maximum Yield Coefficient, you need Maximum Yield Coefficient (Y), Specific Substrate Utilisation Rate (U) & Sludge Age c). With our tool, you need to enter the respective value for Maximum Yield Coefficient, Specific Substrate Utilisation Rate & Sludge Age 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 Respiration Rate Constant?
In this formula, Endogenous Respiration Rate Constant uses Maximum Yield Coefficient, Specific Substrate Utilisation Rate & Sludge Age. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Endogenous Respiration Rate Constant = ((Maximum Yield Coefficient*Sewage Discharge*(Influent BOD-Effluent BOD))-Mass of Solids)/(MLSS*Volume of Tank)
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