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 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%

✖Maximum Yield Coefficient is 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 = \frac{(\frac{1}{θ c}) + K e}{U}

Example

0.400069 = \frac{(\frac{1}{5 d}) + 2.99 d⁻¹}{0.5 s⁻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 Utilization Rate
Y = ((1/θ_c)+K^e)/U
This formula uses 4 Variables

Variables Used

Maximum Yield Coefficient - Maximum Yield Coefficient is 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 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.

STEP 1: Convert Input(s) to Base Unit

Sludge Age: 5 Day --> 5 Day No Conversion Required
Endogenous Respiration Rate Constant: 2.99 1 Per Day --> 3.46064814814815E-05 1 Per Second (Check conversion here)
Specific Substrate Utilization 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)+3.46064814814815E-05)/0.5

Evaluating ... ...

Y = 0.400069212962963

STEP 3: Convert Result to Output's Unit

0.400069212962963 --> No Conversion Required

FINAL ANSWER

0.400069212962963 ≈ 0.400069 <-- Maximum Yield Coefficient

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2100+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< Maximum Yield Coefficient Calculators

Maximum Yield Coefficient given Mass of Wasted Activated Sludge

Go Maximum Yield Coefficient = (Mass of Wasted Activated Sludge+(Endogenous Respiration Rate Constant*Volume of Tank*Mixed Liquor Suspended Solids))/(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 Utilization Rate

Microbial Mass Synthesis given Maximum Yield Coefficient

Go Total Microbial Mass = Maximum Yield Coefficient*Mass of Substrate Utilized

< 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)

Maximum Yield Coefficient given Sludge Age Formula

Maximum Yield Coefficient = ((1/Sludge Age)+Endogenous Respiration Rate Constant)/Specific Substrate Utilization 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 Utilization Rate to calculate the Maximum Yield Coefficient, The Maximum Yield Coefficient given Sludge Age formula is defined as the calculation of the maximum amount of biomass (sludge) that can be produced per unit of substrate (organic matter) consumed by microorganisms in the activated sludge process. It reflects the efficiency of the biological treatment process in converting organic matter into biomass. 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 Utilization 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 -> 0.400069 = ((1/432000)+3.46064814814815E-05)/0.5.

FAQ

What is Maximum Yield Coefficient given Sludge Age?

The Maximum Yield Coefficient given Sludge Age formula is defined as the calculation of the maximum amount of biomass (sludge) that can be produced per unit of substrate (organic matter) consumed by microorganisms in the activated sludge process. It reflects the efficiency of the biological treatment process in converting organic matter into biomass and is represented as Y = ((1/θ_c)+K^e)/U or Maximum Yield Coefficient = ((1/Sludge Age)+Endogenous Respiration Rate Constant)/Specific Substrate Utilization 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 Utilization Rate is the rate at which a microbial population consumes a substrate per unit of biomass present.

How to calculate Maximum Yield Coefficient given Sludge Age?

The Maximum Yield Coefficient given Sludge Age formula is defined as the calculation of the maximum amount of biomass (sludge) that can be produced per unit of substrate (organic matter) consumed by microorganisms in the activated sludge process. It reflects the efficiency of the biological treatment process in converting organic matter into biomass is calculated using Maximum Yield Coefficient = ((1/Sludge Age)+Endogenous Respiration Rate Constant)/Specific Substrate Utilization Rate. To calculate Maximum Yield Coefficient given Sludge Age, you need Sludge Age (θ_c), Endogenous Respiration Rate Constant (K^e) & Specific Substrate Utilization Rate (U). With our tool, you need to enter the respective value for Sludge Age, Endogenous Respiration Rate Constant & Specific Substrate Utilization 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 Utilization Rate. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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