Sludge Age given Endogenous Respiration Rate Constant 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%
✖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 Constant [K_e]			+10% -10%

✖Sludge Age given Endogenous Constant is the average length of time that solids (or sludge) remain in the treatment system before being removed, given endogenous rate constant.ⓘ Sludge Age given Endogenous Respiration Rate Constant [θ_ce]

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Sludge Age given Endogenous Respiration Rate Constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Sludge Age given Endogenous Constant - (Measured in Second) - Sludge Age given Endogenous Constant is the average length of time that solids (or sludge) remain in the treatment system before being removed, given endogenous rate constant.
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.
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.

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
Endogenous Respiration Constant: 21599 1 Per Day --> 0.249988425925926 1 Per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ_ce = (1/((Y*U)-K_e)) --> (1/((0.5*0.5)-0.249988425925926))

Evaluating ... ...

θ_ce = 86400.00000047

STEP 3: Convert Result to Output's Unit

86400.00000047 Second -->1.00000000000544 Day (Check conversion here)

FINAL ANSWER

1.00000000000544 ≈ 1 Day <-- Sludge Age given Endogenous Constant

(Calculation completed in 00.020 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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< Sludge Age Calculators

Sludge Age given Concentration of Solids

LaTeX Go Sludge Age given Concentration of Solids = (Volume of Tank*MLSS given Sludge Age)/((Volume of Wasted Sludge per day*Concentration of Solids in Returned Sludge)+(Peak Sewage Flow-Volume of Wasted Sludge per day)*Concentration of Solids in Effluent)

Sludge Age given MLSS

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

Sludge Age given Total Solids Removed

LaTeX Go Sludge Age given Total Solids Removed = (Volume of Tank*Concentration of Solids in Effluent)/Mass of Solids Leaving the System

Sludge Age

LaTeX Go Sludge Age = Mass of Suspended Solids/Mass of Solids Leaving the System

Sludge Age given Endogenous Respiration Rate Constant Formula

LaTeX Go

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

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 Sludge Age given Endogenous Respiration Rate Constant?

Sludge Age given Endogenous Respiration Rate Constant calculator uses Sludge Age given Endogenous Constant = (1/((Maximum Yield Coefficient*Specific Substrate Utilization Rate)-Endogenous Respiration Constant)) to calculate the Sludge Age given Endogenous Constant, The Sludge Age given Endogenous Respiration Rate Constant formula is defined as the calculation of sludge age when we have prior information of endogenous respiration rate constant. Sludge Age given Endogenous Constant is denoted by θ_ce symbol.

How to calculate Sludge Age given Endogenous Respiration Rate Constant using this online calculator? To use this online calculator for Sludge Age given Endogenous Respiration Rate Constant, enter Maximum Yield Coefficient (Y), Specific Substrate Utilization Rate (U) & Endogenous Respiration Constant (K_e) and hit the calculate button. Here is how the Sludge Age given Endogenous Respiration Rate Constant calculation can be explained with given input values -> 1.2E-5 = (1/((0.5*0.5)-0.249988425925926)).

FAQ

What is Sludge Age given Endogenous Respiration Rate Constant?

The Sludge Age given Endogenous Respiration Rate Constant formula is defined as the calculation of sludge age when we have prior information of endogenous respiration rate constant and is represented as θ_ce = (1/((Y*U)-K_e)) or Sludge Age given Endogenous Constant = (1/((Maximum Yield Coefficient*Specific Substrate Utilization Rate)-Endogenous Respiration Constant)). 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 & 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.

How to calculate Sludge Age given Endogenous Respiration Rate Constant?

The Sludge Age given Endogenous Respiration Rate Constant formula is defined as the calculation of sludge age when we have prior information of endogenous respiration rate constant is calculated using Sludge Age given Endogenous Constant = (1/((Maximum Yield Coefficient*Specific Substrate Utilization Rate)-Endogenous Respiration Constant)). To calculate Sludge Age given Endogenous Respiration Rate Constant, you need Maximum Yield Coefficient (Y), Specific Substrate Utilization Rate (U) & Endogenous Respiration Constant (K_e). With our tool, you need to enter the respective value for Maximum Yield Coefficient, Specific Substrate Utilization Rate & Endogenous Respiration Constant 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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