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Observed Cell Yield Formula

GoObserved Cell Yield given Net Waste Activated Sludge Formula

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

Y obs = (\frac{Y}{1}) + (k d \cdot θ c)

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

Observed Cell Yield Example

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

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

Here is how the Observed Cell Yield equation looks like.

0.85 = (\frac{0.5}{1}) + (0.05 \cdot 7)

0.85 = (\frac{0.5}{1}) + (0.05d⁻¹ \cdot 7d)

0.85 = (\frac{0.5}{1}) + (0.05 \cdot 7)

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Observed Cell Yield Solution

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

FIRST Step Consider the formula

Y obs = (\frac{Y}{1}) + (k d \cdot θ c)

Next Step Substitute values of Variables

∴

Y obs = (\frac{0.5}{1}) + (0.05d⁻¹ \cdot 7d)

Next Step Convert Units

∴

Y obs = (\frac{0.5}{1}) + (5.8E-7s⁻¹ \cdot 604800s)

Next Step Prepare to Evaluate

∴

Y obs = (\frac{0.5}{1}) + (5.8E-7 \cdot 604800)

LAST Step Evaluate

∴

Y obs = 0.85

Observed Cell Yield Formula Elements

Variables

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

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

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 to find Observed Cell Yield

Go Observed Cell Yield given Net Waste Activated Sludge

Y obs = \frac{P x}{8.34 \cdot Q a \cdot (S o - S)}

How to Evaluate Observed Cell Yield?

Observed Cell Yield evaluator uses Observed Cell Yield = (Maximum Yield Coefficient/1)+(Endogenous Decay Coefficient*Mean Cell Residence Time) to evaluate the Observed Cell Yield, The Observed cell Yield formula is defined as the amount of biomass produced per unit of substrate consumed. It is a critical parameter in bioprocesses, particularly in the context of microbial growth and wastewater treatment. Observed Cell Yield is denoted by Y_obs symbol.

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

FAQs on Observed Cell Yield

What is the formula to find Observed Cell Yield?

The formula of Observed Cell Yield is expressed as Observed Cell Yield = (Maximum Yield Coefficient/1)+(Endogenous Decay Coefficient*Mean Cell Residence Time). Here is an example- 0.85 = (0.5/1)+(5.78703703703704E-07*604800).

How to calculate Observed Cell Yield?

With Maximum Yield Coefficient (Y), Endogenous Decay Coefficient (k_d) & Mean Cell Residence Time (θ_c) we can find Observed Cell Yield using the formula - Observed Cell Yield = (Maximum Yield Coefficient/1)+(Endogenous Decay Coefficient*Mean Cell Residence Time).

What are the other ways to Calculate Observed Cell Yield?

Here are the different ways to Calculate Observed Cell Yield-

Observed Cell Yield=Net Waste Activated Sludge/(8.34*Average Daily Influent Flow Rate*(Influent Substrate Concentration-Effluent Substrate Concentration))

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