Observed Cell Yield Calculator

✖Maximum Yield Coefficient Y represents the maximum mg of cells produced per mg organic matter removed.ⓘ Maximum Yield Coefficient [Y]			+10% -10%
✖Endogenous decay coefficient is a coefficient representing the decrease of cell mass in the MLVSS.ⓘ Endogenous decay coefficient [k_d]			+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%

✖Observed Cell Yield is the observed mg of cells produced per mg organic matter removed.ⓘ Observed Cell Yield [Y_obs]

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Formula

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Observed Cell Yield

Formula

`"Y"_{"obs"} = ("Y"/1)+("k"_{"d"}*"θ"_{"c"})`

Example

`"0.85"=("0.5"/1)+("0.050d⁻¹"*"7d")`

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Observed Cell Yield Solution

STEP 0: Pre-Calculation Summary

Formula Used

Observed Cell Yield = (Maximum Yield Coefficient/1)+(Endogenous decay coefficient*Mean Cell Residence Time)
Y_obs = (Y/1)+(k_d*θ_c)
This formula uses 4 Variables

Variables Used

Observed Cell Yield - Observed Cell Yield is the observed mg of cells produced per mg organic matter removed.
Maximum Yield Coefficient - Maximum Yield Coefficient Y represents the maximum mg of cells produced per mg organic matter removed.
Endogenous decay coefficient - (Measured in 1 Per Second) - Endogenous decay coefficient is a coefficient representing the decrease of cell mass in the MLVSS.
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

Maximum Yield Coefficient: 0.5 --> No Conversion Required
Endogenous decay coefficient: 0.05 1 Per Day --> 5.78703703703704E-07 1 Per Second (Check conversion here)
Mean Cell Residence Time: 7 Day --> 604800 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Y_obs = (Y/1)+(k_d*θ_c) --> (0.5/1)+(5.78703703703704E-07*604800)

Evaluating ... ...

Y_obs = 0.85

STEP 3: Convert Result to Output's Unit

0.85 --> No Conversion Required

FINAL ANSWER

0.85 <-- Observed Cell Yield

(Calculation completed in 00.020 seconds)

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Created by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has created this Calculator and 500+ more calculators!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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< 2 Observed Cell Yield Calculators

Observed Cell Yield given Net Waste Activated Sludge

Go Observed Cell Yield = Net waste activated sludge/(8.34*Average daily influent flow rate*(Influent Substrate Concentration-Effluent substrate concentration))

Observed Cell Yield

Go Observed Cell Yield = (Maximum Yield Coefficient/1)+(Endogenous decay coefficient*Mean Cell Residence Time)

Observed Cell Yield Formula

Observed Cell Yield = (Maximum Yield Coefficient/1)+(Endogenous decay coefficient*Mean Cell Residence Time)
Y_obs = (Y/1)+(k_d*θ_c)

What is maximum cell yield?

Maximum cell yield Y represents the maximum mg of cells produced per mg organic matter removed. For the activated sludge process for domestic wastewater, Y ranges from 0.4 to 0.8.

How to Calculate Observed Cell Yield?

Observed Cell Yield calculator uses Observed Cell Yield = (Maximum Yield Coefficient/1)+(Endogenous decay coefficient*Mean Cell Residence Time) to calculate the Observed Cell Yield, The 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). Observed Cell Yield is denoted by Y_obs symbol.

How to calculate Observed Cell Yield using this online calculator? To use this online calculator 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. Here is how the Observed Cell Yield calculation can be explained with given input values -> 1 = (0.5/1)+(5.78703703703704E-07*604800).

FAQ

What is Observed Cell Yield?

The 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) and is represented as Y_obs = (Y/1)+(k_d*θ_c) or Observed Cell Yield = (Maximum Yield Coefficient/1)+(Endogenous decay coefficient*Mean Cell Residence Time). Maximum Yield Coefficient Y represents the maximum mg of cells produced per mg organic matter removed, Endogenous decay coefficient is a coefficient representing the decrease of cell mass in the MLVSS & Mean Cell Residence Time is the average time that the sludge remains in the reactor.

How to calculate Observed Cell Yield?

The 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) is calculated using Observed Cell Yield = (Maximum Yield Coefficient/1)+(Endogenous decay coefficient*Mean Cell Residence Time). To calculate Observed Cell Yield, you need Maximum Yield Coefficient (Y), Endogenous decay coefficient (k_d) & Mean Cell Residence Time (θ_c). With our tool, you need to enter the respective value for Maximum Yield Coefficient, Endogenous decay 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 Observed Cell Yield?

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

Observed Cell Yield = Net waste activated sludge/(8.34*Average daily influent flow rate*(Influent Substrate Concentration-Effluent substrate concentration))

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