Endogenous Respiration Rate Constant given Maximum Yield Coefficient Calculator

✖Maximum Yield Coefficient is the maximum mg of cells produced per mg organic matter removed.ⓘ Maximum Yield Coefficient [Y]			+10% -10%
✖Specific Substrate Utilization Rate is the rate at which a microbial population consumes a substrate per unit of biomass present.ⓘ Specific Substrate Utilization Rate [U]			+10% -10%
✖Sludge Age is the average time for which the particle of suspended solids remains in aeration.ⓘ Sludge Age [θ_c]			+10% -10%

✖Endogenous Respiration Constant is a rate constant that represents the rate of oxygen consumption due to the endogenous respiration of microorganisms in a biological treatment process.ⓘ Endogenous Respiration Rate Constant given Maximum Yield Coefficient [K_e]

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Formula

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Endogenous Respiration Rate Constant given Maximum Yield Coefficient

Formula

K e = (Y \cdot U) - (\frac{1}{θ c})

Example

21599.8 d⁻¹ = (0.50 \cdot 0.5 s⁻¹) - (\frac{1}{5 d})

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Endogenous Respiration Rate Constant given Maximum Yield Coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

Endogenous Respiration Constant = (Maximum Yield Coefficient*Specific Substrate Utilization Rate)-(1/Sludge Age)
K_e = (Y*U)-(1/θ_c)
This formula uses 4 Variables

Variables Used

Endogenous Respiration Constant - (Measured in 1 Per Second) - Endogenous Respiration Constant is a rate constant that represents the rate of oxygen consumption due to the endogenous respiration of microorganisms in a biological treatment process.
Maximum Yield Coefficient - Maximum Yield Coefficient is the maximum mg of cells produced per mg organic matter removed.
Specific Substrate Utilization Rate - (Measured in 1 Per Second) - Specific Substrate Utilization Rate is the rate at which a microbial population consumes a substrate per unit of biomass present.
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 Utilization 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

K_e = (Y*U)-(1/θ_c) --> (0.5*0.5)-(1/432000)

Evaluating ... ...

K_e = 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 Constant

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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< 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 Wasted Activated Sludge)/(Mixed Liquor Suspended Solids*Volume of Tank)

Endogenous Respiration Rate Constant given Maximum Yield Coefficient

Go Endogenous Respiration Constant = (Maximum Yield Coefficient*Specific Substrate Utilization Rate)-(1/Sludge Age)

< Important Formulas of Sludge Age 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 Wasted Activated Sludge)/(Mixed Liquor Suspended Solids*Volume of Tank)

Mass of Wasted Activated Sludge

Go Mass of Wasted Activated Sludge = (Maximum Yield Coefficient*Sewage Discharge*(Influent BOD-Effluent BOD))-(Endogenous Respiration Rate Constant*Volume of Tank*Mixed Liquor Suspended Solids)

Concentration of Solids in Returned Sludge given MLSS

Go Concentration of Solids given MLSS = (Mixed Liquor Suspended Solids*Volume of Tank)/(Volume of Wasted Sludge per day*Sludge Age)

Endogenous Respiration Rate Constant given Maximum Yield Coefficient

Go Endogenous Respiration Constant = (Maximum Yield Coefficient*Specific Substrate Utilization Rate)-(1/Sludge Age)

Endogenous Respiration Rate Constant given Maximum Yield Coefficient Formula

Endogenous Respiration Constant = (Maximum Yield Coefficient*Specific Substrate Utilization Rate)-(1/Sludge Age)
K_e = (Y*U)-(1/θ_c)

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 Constant = (Maximum Yield Coefficient*Specific Substrate Utilization Rate)-(1/Sludge Age) to calculate the Endogenous Respiration Constant, The Endogenous Respiration Rate Constant given Maximum Yield Coefficient formula is defined as the calculation of rate constant that represents the rate of oxygen consumption due to the endogenous respiration of microorganisms in a biological treatment process. Endogenous Respiration Constant is denoted by K_e 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 Utilization Rate (U) & Sludge Age (θ_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 -> 1.9E+9 = (0.5*0.5)-(1/432000).

FAQ

What is Endogenous Respiration Rate Constant given Maximum Yield Coefficient?

The Endogenous Respiration Rate Constant given Maximum Yield Coefficient formula is defined as the calculation of rate constant that represents the rate of oxygen consumption due to the endogenous respiration of microorganisms in a biological treatment process and is represented as K_e = (Y*U)-(1/θ_c) or Endogenous Respiration Constant = (Maximum Yield Coefficient*Specific Substrate Utilization Rate)-(1/Sludge Age). Maximum Yield Coefficient is the maximum mg of cells produced per mg organic matter removed, Specific Substrate Utilization Rate is the rate at which a microbial population consumes a substrate per unit of biomass present & 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?

The Endogenous Respiration Rate Constant given Maximum Yield Coefficient formula is defined as the calculation of rate constant that represents the rate of oxygen consumption due to the endogenous respiration of microorganisms in a biological treatment process is calculated using Endogenous Respiration Constant = (Maximum Yield Coefficient*Specific Substrate Utilization Rate)-(1/Sludge Age). To calculate Endogenous Respiration Rate Constant given Maximum Yield Coefficient, you need Maximum Yield Coefficient (Y), Specific Substrate Utilization Rate (U) & Sludge Age (θ_c). With our tool, you need to enter the respective value for Maximum Yield Coefficient, Specific Substrate Utilization Rate & Sludge Age 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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