Maximum Yield Coefficient given Sludge Age Calculator

✖Sludge Age is the average time for which the particle of suspended solids remains in aeration.ⓘ Sludge Age [θ_c]			+10% -10%
✖Endogenous Respiration Rate Constant is used for designing a complete-mix activated-sludge system.ⓘ Endogenous Respiration Rate Constant [K^e]			+10% -10%
✖Specific Substrate Utilisation Rate is related to the specific growth rate.ⓘ Specific Substrate Utilisation Rate [U]			+10% -10%

✖Maximum Yield Coefficient Y represents the maximum mg of cells produced per mg organic matter removed.ⓘ Maximum Yield Coefficient given Sludge Age [Y]

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Formula

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Maximum Yield Coefficient given Sludge Age

Formula

`"Y" = ((1/"θ"_{"c"})+"K"^{"e"})/"U"`

Example

`"0.400069"=((1/"5d")+"3d⁻¹")/"0.5s⁻¹"`

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Maximum Yield Coefficient given Sludge Age Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Yield Coefficient = ((1/Sludge Age)+Endogenous Respiration Rate Constant)/Specific Substrate Utilisation Rate
Y = ((1/θ_c)+K^e)/U
This formula uses 4 Variables

Variables Used

Maximum Yield Coefficient - Maximum Yield Coefficient Y represents the maximum mg of cells produced per mg organic matter removed.
Sludge Age - (Measured in Day) - Sludge Age is the average time for which the particle of suspended solids remains in aeration.
Endogenous Respiration Rate Constant - (Measured in 1 Per Second) - Endogenous Respiration Rate Constant is used for designing a complete-mix activated-sludge system.
Specific Substrate Utilisation Rate - (Measured in 1 Per Second) - Specific Substrate Utilisation Rate is related to the specific growth rate.

STEP 1: Convert Input(s) to Base Unit

Sludge Age: 5 Day --> 5 Day No Conversion Required
Endogenous Respiration Rate Constant: 3 1 Per Day --> 3.47222222222222E-05 1 Per Second (Check conversion here)
Specific Substrate Utilisation Rate: 0.5 1 Per Second --> 0.5 1 Per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Y = ((1/θ_c)+K^e)/U --> ((1/5)+3.47222222222222E-05)/0.5

Evaluating ... ...

Y = 0.400069444444444

STEP 3: Convert Result to Output's Unit

0.400069444444444 --> No Conversion Required

FINAL ANSWER

0.400069444444444 ≈ 0.400069 <-- Maximum Yield Coefficient

(Calculation completed in 00.020 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2200+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< 3 Maximum Yield Coefficient Calculators

Maximum Yield Coefficient given Mass of Wasted Activated Sludge

Go Maximum Yield Coefficient = (Mass of Solids+(Endogenous Respiration Rate Constant*Volume of Tank*MLSS))/(Sewage Discharge*(Influent BOD-Effluent BOD))

Maximum Yield Coefficient given Sludge Age

Go Maximum Yield Coefficient = ((1/Sludge Age)+Endogenous Respiration Rate Constant)/Specific Substrate Utilisation Rate

Microbial Mass Synthesis given Maximum Yield Coefficient

Go Total Microbial Mass = Maximum Yield Coefficient*Mass of substrate utilised

Maximum Yield Coefficient given Sludge Age Formula

Maximum Yield Coefficient = ((1/Sludge Age)+Endogenous Respiration Rate Constant)/Specific Substrate Utilisation Rate
Y = ((1/θ_c)+K^e)/U

What is sludge ?

Sludge is a semi-solid slurry that can be produced from a range of industrial processes, from water treatment, wastewater treatment or on-site sanitation systems.

How to Calculate Maximum Yield Coefficient given Sludge Age?

Maximum Yield Coefficient given Sludge Age calculator uses Maximum Yield Coefficient = ((1/Sludge Age)+Endogenous Respiration Rate Constant)/Specific Substrate Utilisation Rate to calculate the Maximum Yield Coefficient, The Maximum Yield Coefficient given Sludge Age is defined as the difference between initial biomass and maximum biomass at end of growth phase. Maximum Yield Coefficient is denoted by Y symbol.

How to calculate Maximum Yield Coefficient given Sludge Age using this online calculator? To use this online calculator for Maximum Yield Coefficient given Sludge Age, enter Sludge Age (θ_c), Endogenous Respiration Rate Constant (K^e) & Specific Substrate Utilisation Rate (U) and hit the calculate button. Here is how the Maximum Yield Coefficient given Sludge Age calculation can be explained with given input values -> 0.100017 = ((1/432000)+3.47222222222222E-05)/0.5.

FAQ

What is Maximum Yield Coefficient given Sludge Age?

The Maximum Yield Coefficient given Sludge Age is defined as the difference between initial biomass and maximum biomass at end of growth phase and is represented as Y = ((1/θ_c)+K^e)/U or Maximum Yield Coefficient = ((1/Sludge Age)+Endogenous Respiration Rate Constant)/Specific Substrate Utilisation Rate. Sludge Age is the average time for which the particle of suspended solids remains in aeration, Endogenous Respiration Rate Constant is used for designing a complete-mix activated-sludge system & Specific Substrate Utilisation Rate is related to the specific growth rate.

How to calculate Maximum Yield Coefficient given Sludge Age?

The Maximum Yield Coefficient given Sludge Age is defined as the difference between initial biomass and maximum biomass at end of growth phase is calculated using Maximum Yield Coefficient = ((1/Sludge Age)+Endogenous Respiration Rate Constant)/Specific Substrate Utilisation Rate. To calculate Maximum Yield Coefficient given Sludge Age, you need Sludge Age (θ_c), Endogenous Respiration Rate Constant (K^e) & Specific Substrate Utilisation Rate (U). With our tool, you need to enter the respective value for Sludge Age, Endogenous Respiration Rate Constant & Specific Substrate Utilisation Rate 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 Maximum Yield Coefficient?

In this formula, Maximum Yield Coefficient uses Sludge Age, Endogenous Respiration Rate Constant & Specific Substrate Utilisation Rate. We can use 1 other way(s) to calculate the same, which is/are as follows -

Maximum Yield Coefficient = (Mass of Solids+(Endogenous Respiration Rate Constant*Volume of Tank*MLSS))/(Sewage Discharge*(Influent BOD-Effluent BOD))

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