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Maximum Yield Coefficient given Sludge Age Formula

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Maximum Yield Coefficient is the maximum mg of cells produced per mg organic matter removed. Check FAQs

Y = \frac{(\frac{1}{θ c}) + K e}{U}

Y - Maximum Yield Coefficient?θ_c - Sludge Age?K^e - Endogenous Respiration Rate Constant?U - Specific Substrate Utilization Rate?

Maximum Yield Coefficient given Sludge Age Example

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Here is how the Maximum Yield Coefficient given Sludge Age equation looks like with Values.

Here is how the Maximum Yield Coefficient given Sludge Age equation looks like with Units.

Here is how the Maximum Yield Coefficient given Sludge Age equation looks like.

0.4001 = \frac{(\frac{1}{5}) + 2.99}{0.5}

0.4001 = \frac{(\frac{1}{5d}) + 2.99d⁻¹}{0.5s⁻¹}

0.4001 = \frac{(\frac{1}{5}) + 2.99}{0.5}

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Maximum Yield Coefficient given Sludge Age Solution

Follow our step by step solution on how to calculate Maximum Yield Coefficient given Sludge Age?

FIRST Step Consider the formula

Y = \frac{(\frac{1}{θ c}) + K e}{U}

Next Step Substitute values of Variables

∴

Y = \frac{(\frac{1}{5d}) + 2.99d⁻¹}{0.5s⁻¹}

Next Step Convert Units

∴

Y = \frac{(\frac{1}{5d}) + 3.5E-5s⁻¹}{0.5s⁻¹}

Next Step Prepare to Evaluate

∴

Y = \frac{(\frac{1}{5}) + 3.5E-5}{0.5}

Next Step Evaluate

∴

Y = 0.400069212962963

LAST Step Rounding Answer

∴

Y = 0.4001

Maximum Yield Coefficient given Sludge Age Formula Elements

Variables

Maximum Yield Coefficient

Maximum Yield Coefficient is the maximum mg of cells produced per mg organic matter removed.

Symbol: Y

Measurement: NAUnit: Unitless

Note: Value should be between 0.4 to 0.8.

Formulas to find Maximum Yield Coefficient

Sludge Age

Sludge Age is the average time for which the particle of suspended solids remains in aeration.

Symbol: θ_c

Measurement: TimeUnit: d

Note: Value should be greater than 0.

Formulas to find Sludge Age

Endogenous Respiration Rate Constant

Endogenous Respiration Rate Constant is used for designing a complete-mix activated-sludge system.

Symbol: K^e

Measurement: First Order Reaction Rate ConstantUnit: d⁻¹

Note: Value should be greater than 0.

Formulas to find Endogenous Respiration Rate Constant

Specific Substrate Utilization Rate

Specific Substrate Utilization Rate is the rate at which a microbial population consumes a substrate per unit of biomass present.

Symbol: U

Measurement: First Order Reaction Rate ConstantUnit: s⁻¹

Note: Value should be greater than 0.

Formulas to find Specific Substrate Utilization Rate

Other formulas in Maximum Yield Coefficient category

Go Mass of Wasted Activated Sludge

M ws = (Y \cdot Q s \cdot (Q i - Q o)) - (K e \cdot V \cdot X')

Go Concentration of Solids in Returned Sludge given MLSS

X Em = \frac{X' \cdot V}{Q w \cdot θ c}

Go Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge

K e = \frac{(Y \cdot Q s \cdot (Q i - Q o)) - M ws}{X' \cdot V}

Go Endogenous Respiration Rate Constant given Maximum Yield Coefficient

K e = (Y \cdot U) - (\frac{1}{θ c})

How to Evaluate Maximum Yield Coefficient given Sludge Age?

Maximum Yield Coefficient given Sludge Age evaluator uses Maximum Yield Coefficient = ((1/Sludge Age)+Endogenous Respiration Rate Constant)/Specific Substrate Utilization Rate to evaluate 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 evaluate Maximum Yield Coefficient given Sludge Age using this online evaluator? To use this online evaluator 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.

FAQs on Maximum Yield Coefficient given Sludge Age

What is the formula to find Maximum Yield Coefficient given Sludge Age?

The formula of Maximum Yield Coefficient given Sludge Age is expressed as Maximum Yield Coefficient = ((1/Sludge Age)+Endogenous Respiration Rate Constant)/Specific Substrate Utilization Rate. Here is an example- 0.400069 = ((1/432000)+3.46064814814815E-05)/0.5.

How to calculate Maximum Yield Coefficient given Sludge Age?

With Sludge Age (θ_c), Endogenous Respiration Rate Constant (K^e) & Specific Substrate Utilization Rate (U) we can find Maximum Yield Coefficient given Sludge Age using the formula - Maximum Yield Coefficient = ((1/Sludge Age)+Endogenous Respiration Rate Constant)/Specific Substrate Utilization Rate.

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Maximum Yield Coefficient given Sludge Age Formula

Maximum Yield Coefficient given Sludge Age Example

Maximum Yield Coefficient given Sludge Age Solution

Maximum Yield Coefficient given Sludge Age Formula Elements

Other formulas in Maximum Yield Coefficient category

How to Evaluate Maximum Yield Coefficient given Sludge Age?

FAQs on Maximum Yield Coefficient given Sludge Age

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