Endogenous Decay Coefficient given Observed Cell Yield Calculator

✖Observed Cell Yield refers to the observed mg of cells produced per mg organic matter removed.ⓘ Observed Cell Yield [Y_obs]			+10% -10%
✖Maximum Yield Coefficient refers to the maximum mg of cells produced per mg organic matter removed.ⓘ Maximum Yield Coefficient [Y]			+10% -10%
✖Mean Cell Residence Time is the average time that the sludge remains in the reactor.ⓘ Mean Cell Residence Time [θ_c]			+10% -10%

✖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.ⓘ Endogenous Decay Coefficient given Observed Cell Yield [k_d]

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Endogenous Decay Coefficient given Observed Cell Yield Solution

STEP 0: Pre-Calculation Summary

Formula Used

Endogenous Decay Coefficient = (Observed Cell Yield-Maximum Yield Coefficient)/Mean Cell Residence Time
k_d = (Y_obs-Y)/θ_c
This formula uses 4 Variables

Variables Used

Endogenous Decay Coefficient - (Measured in 1 Per Second) - 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.
Observed Cell Yield - Observed Cell Yield refers to the observed mg of cells produced per mg organic matter removed.
Maximum Yield Coefficient - Maximum Yield Coefficient refers to the maximum mg of cells produced per mg organic matter removed.
Mean Cell Residence Time - (Measured in Second) - Mean Cell Residence Time is the average time that the sludge remains in the reactor.

STEP 1: Convert Input(s) to Base Unit

Observed Cell Yield: 0.8 --> No Conversion Required
Maximum Yield Coefficient: 0.5 --> No Conversion Required
Mean Cell Residence Time: 7 Day --> 604800 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k_d = (Y_obs-Y)/θ_c --> (0.8-0.5)/604800

Evaluating ... ...

k_d = 4.96031746031746E-07

STEP 3: Convert Result to Output's Unit

4.96031746031746E-07 1 Per Second -->0.0428571428571429 1 Per Day (Check conversion here)

FINAL ANSWER

0.0428571428571429 ≈ 0.042857 1 Per Day <-- Endogenous Decay Coefficient

(Calculation completed in 00.007 seconds)

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< Endogenous Decay Coefficient Calculators

Endogenous Decay Constant given Volume of Reactor

LaTeX Go Endogenous Decay Coefficient = ((Average Daily Influent Flow Rate*Maximum Yield Coefficient*(Influent Substrate Concentration-Effluent Substrate Concentration))/(Reactor Volume*MLVSS))-(1/Mean Cell Residence Time)

Endogenous Decay Coefficient given Observed Cell Yield

LaTeX Go Endogenous Decay Coefficient = (Observed Cell Yield-Maximum Yield Coefficient)/Mean Cell Residence Time

Endogenous Decay Coefficient given Observed Cell Yield Formula

LaTeX Go

Endogenous Decay Coefficient = (Observed Cell Yield-Maximum Yield Coefficient)/Mean Cell Residence Time
k_d = (Y_obs-Y)/θ_c

What is Observed Cell Yield?

Observed Cell Yield represents the observed mg of cells produced per mg organic matter removed. The observed cell yield is always less than the maximum cell yield, (Y).

How to Calculate Endogenous Decay Coefficient given Observed Cell Yield?

Endogenous Decay Coefficient given Observed Cell Yield calculator uses Endogenous Decay Coefficient = (Observed Cell Yield-Maximum Yield Coefficient)/Mean Cell Residence Time to calculate the Endogenous Decay Coefficient, The Endogenous Decay Coefficient given Observed Cell Yield formula is defined as the rate at which biomass (microorganisms) decay or lose their activity due to endogenous respiration and other decay processes. Endogenous Decay Coefficient is denoted by k_d symbol.

How to calculate Endogenous Decay Coefficient given Observed Cell Yield using this online calculator? To use this online calculator for Endogenous Decay Coefficient given Observed Cell Yield, enter Observed Cell Yield (Y_obs), Maximum Yield Coefficient (Y) & Mean Cell Residence Time (θ_c) and hit the calculate button. Here is how the Endogenous Decay Coefficient given Observed Cell Yield calculation can be explained with given input values -> 3702.857 = (0.8-0.5)/604800.

FAQ

What is Endogenous Decay Coefficient given Observed Cell Yield?

The Endogenous Decay Coefficient given Observed Cell Yield formula is defined as the rate at which biomass (microorganisms) decay or lose their activity due to endogenous respiration and other decay processes and is represented as k_d = (Y_obs-Y)/θ_c or Endogenous Decay Coefficient = (Observed Cell Yield-Maximum Yield Coefficient)/Mean Cell Residence Time. Observed Cell Yield refers to the observed mg of cells produced per mg organic matter removed, Maximum Yield Coefficient refers to the maximum mg of cells produced per mg organic matter removed & Mean Cell Residence Time is the average time that the sludge remains in the reactor.

How to calculate Endogenous Decay Coefficient given Observed Cell Yield?

The Endogenous Decay Coefficient given Observed Cell Yield formula is defined as the rate at which biomass (microorganisms) decay or lose their activity due to endogenous respiration and other decay processes is calculated using Endogenous Decay Coefficient = (Observed Cell Yield-Maximum Yield Coefficient)/Mean Cell Residence Time. To calculate Endogenous Decay Coefficient given Observed Cell Yield, you need Observed Cell Yield (Y_obs), Maximum Yield Coefficient (Y) & Mean Cell Residence Time (θ_c). With our tool, you need to enter the respective value for Observed Cell Yield, Maximum Yield Coefficient & Mean Cell Residence Time 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 Endogenous Decay Coefficient?

In this formula, Endogenous Decay Coefficient uses Observed Cell Yield, Maximum Yield Coefficient & Mean Cell Residence Time. We can use 1 other way(s) to calculate the same, which is/are as follows -

Endogenous Decay Coefficient = ((Average Daily Influent Flow Rate*Maximum Yield Coefficient*(Influent Substrate Concentration-Effluent Substrate Concentration))/(Reactor Volume*MLVSS))-(1/Mean Cell Residence Time)

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