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Maximum Yield Coefficient given Observed Cell Yield Formula

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

Y = Y obs - (k d \cdot θ c)

Y - Maximum Yield Coefficient?Y_obs - Observed Cell Yield?k_d - Endogenous Decay Coefficient?θ_c - Mean Cell Residence Time?

Maximum Yield Coefficient given Observed Cell Yield Example

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Here is how the Maximum Yield Coefficient given Observed Cell Yield equation looks like with Values.

Here is how the Maximum Yield Coefficient given Observed Cell Yield equation looks like with Units.

Here is how the Maximum Yield Coefficient given Observed Cell Yield equation looks like.

0.45 = 0.8 - (0.05 \cdot 7)

0.45 = 0.8 - (0.05d⁻¹ \cdot 7d)

0.45 = 0.8 - (0.05 \cdot 7)

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Maximum Yield Coefficient given Observed Cell Yield Solution

Follow our step by step solution on how to calculate Maximum Yield Coefficient given Observed Cell Yield?

FIRST Step Consider the formula

Y = Y obs - (k d \cdot θ c)

Next Step Substitute values of Variables

∴

Y = 0.8 - (0.05d⁻¹ \cdot 7d)

Next Step Convert Units

∴

Y = 0.8 - (5.8E-7s⁻¹ \cdot 604800s)

Next Step Prepare to Evaluate

∴

Y = 0.8 - (5.8E-7 \cdot 604800)

LAST Step Evaluate

∴

Y = 0.45

Maximum Yield Coefficient given Observed Cell Yield Formula Elements

Variables

Maximum Yield Coefficient

Maximum Yield Coefficient refers to 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

Observed Cell Yield

Observed Cell Yield refers to the observed mg of cells produced per mg organic matter removed.

Symbol: Y_obs

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Observed Cell Yield

Endogenous Decay Coefficient

Endogenous Decay Coefficient refers to the rate at which microorganisms in the biomass consume their own cell mass in the absence of an external food source.

Symbol: k_d

Measurement: First Order Reaction Rate ConstantUnit: d⁻¹

Note: Value should be between 0.025 to 0.075.

Formulas to find Endogenous Decay Coefficient

Mean Cell Residence Time

Mean Cell Residence Time is the average time that the sludge remains in the reactor.

Symbol: θ_c

Measurement: TimeUnit: d

Note: Value should be between 5 to 15.

Formulas to find Mean Cell Residence Time

Other formulas in Maximum Yield Coefficient category

Go Maximum Yield Coefficient given Volume of Reactor

Y' = V m \cdot X a \cdot \frac{1 + (θ c \cdot k d)}{θ c \cdot Q a \cdot (S h - S)}

How to Evaluate Maximum Yield Coefficient given Observed Cell Yield?

Maximum Yield Coefficient given Observed Cell Yield evaluator uses Maximum Yield Coefficient = Observed Cell Yield-(Endogenous Decay Coefficient*Mean Cell Residence Time) to evaluate the Maximum Yield Coefficient, The Maximum Yield Coefficient given Observed Cell Yield formula is defined as the maximum amount of biomass (microorganisms) produced per unit of substrate (organic matter) consumed in a biological wastewater treatment process. Maximum Yield Coefficient is denoted by Y symbol.

How to evaluate Maximum Yield Coefficient given Observed Cell Yield using this online evaluator? To use this online evaluator for Maximum Yield Coefficient given Observed Cell Yield, enter Observed Cell Yield (Y_obs), Endogenous Decay Coefficient (k_d) & Mean Cell Residence Time (θ_c) and hit the calculate button.

FAQs on Maximum Yield Coefficient given Observed Cell Yield

What is the formula to find Maximum Yield Coefficient given Observed Cell Yield?

The formula of Maximum Yield Coefficient given Observed Cell Yield is expressed as Maximum Yield Coefficient = Observed Cell Yield-(Endogenous Decay Coefficient*Mean Cell Residence Time). Here is an example- 0.45 = 0.8-(5.78703703703704E-07*604800).

How to calculate Maximum Yield Coefficient given Observed Cell Yield?

With Observed Cell Yield (Y_obs), Endogenous Decay Coefficient (k_d) & Mean Cell Residence Time (θ_c) we can find Maximum Yield Coefficient given Observed Cell Yield using the formula - Maximum Yield Coefficient = Observed Cell Yield-(Endogenous Decay Coefficient*Mean Cell Residence Time).

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