Maximum Yield Coefficient given Volume of Reactor Calculator

✖The Reactor Volume gives us the capacity of the reactor.ⓘ Reactor Volume [V]			+10% -10%
✖MLVSS is the concentration of microorganisms in the reactor.ⓘ MLVSS [X_a]			+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 is a coefficient representing the decrease of cell mass in the MLVSS.ⓘ Endogenous decay coefficient [k_d]			+10% -10%
✖Average daily influent flow rate is the total discharge that comes in the reactor.ⓘ Average daily influent flow rate [Q]			+10% -10%
✖Influent Substrate Concentration is the concentration of BOD that is present in the influent.ⓘ Influent Substrate Concentration [S_o]			+10% -10%
✖Effluent substrate concentration is the concentration of the BOD present in the effluent.ⓘ Effluent substrate concentration [S]			+10% -10%

✖Maximum Yield Coefficient Y represents the maximum mg of cells produced per mg organic matter removed.ⓘ Maximum Yield Coefficient given Volume of Reactor [Y]

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Formula

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Maximum Yield Coefficient given Volume of Reactor

Formula

`"Y" = "V"*"X"_{"a"}*(1+("θ"_{"c"}*"k"_{"d"}))/("θ"_{"c"}*"Q"*("S"_{"o"}-"S"))`

Example

`"0.618132"="0.1m³"*"2500mg/L"*(1+("7d"*"0.050d⁻¹"))/("7d"*"1.2m³/d"*("80mg/L"-"15mg/L"))`

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Maximum Yield Coefficient given Volume of Reactor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Yield Coefficient = Reactor Volume*MLVSS*(1+(Mean Cell Residence Time*Endogenous decay coefficient))/(Mean Cell Residence Time*Average daily influent flow rate*(Influent Substrate Concentration-Effluent substrate concentration))
Y = V*X_a*(1+(θ_c*k_d))/(θ_c*Q*(S_o-S))
This formula uses 8 Variables

Variables Used

Maximum Yield Coefficient - Maximum Yield Coefficient Y represents the maximum mg of cells produced per mg organic matter removed.
Reactor Volume - (Measured in Cubic Meter) - The Reactor Volume gives us the capacity of the reactor.
MLVSS - (Measured in Kilogram per Cubic Meter) - MLVSS is the concentration of microorganisms in the reactor.
Mean Cell Residence Time - (Measured in Second) - Mean Cell Residence Time is the average time that the sludge remains in the reactor.
Endogenous decay coefficient - (Measured in 1 Per Second) - Endogenous decay coefficient is a coefficient representing the decrease of cell mass in the MLVSS.
Average daily influent flow rate - (Measured in Cubic Meter per Second) - Average daily influent flow rate is the total discharge that comes in the reactor.
Influent Substrate Concentration - (Measured in Kilogram per Cubic Meter) - Influent Substrate Concentration is the concentration of BOD that is present in the influent.
Effluent substrate concentration - (Measured in Kilogram per Cubic Meter) - Effluent substrate concentration is the concentration of the BOD present in the effluent.

STEP 1: Convert Input(s) to Base Unit

Reactor Volume: 0.1 Cubic Meter --> 0.1 Cubic Meter No Conversion Required
MLVSS: 2500 Milligram per Liter --> 2.5 Kilogram per Cubic Meter (Check conversion here)
Mean Cell Residence Time: 7 Day --> 604800 Second (Check conversion here)
Endogenous decay coefficient: 0.05 1 Per Day --> 5.78703703703704E-07 1 Per Second (Check conversion here)
Average daily influent flow rate: 1.2 Cubic Meter per Day --> 1.38888888888889E-05 Cubic Meter per Second (Check conversion here)
Influent Substrate Concentration: 80 Milligram per Liter --> 0.08 Kilogram per Cubic Meter (Check conversion here)
Effluent substrate concentration: 15 Milligram per Liter --> 0.015 Kilogram per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Y = V*X_a*(1+(θ_c*k_d))/(θ_c*Q*(S_o-S)) --> 0.1*2.5*(1+(604800*5.78703703703704E-07))/(604800*1.38888888888889E-05*(0.08-0.015))

Evaluating ... ...

Y = 0.618131868131868

STEP 3: Convert Result to Output's Unit

0.618131868131868 --> No Conversion Required

FINAL ANSWER

0.618131868131868 ≈ 0.618132 <-- Maximum Yield Coefficient

(Calculation completed in 00.008 seconds)

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Created by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< 2 Maximum Yield Coefficient Calculators

Maximum Yield Coefficient given Volume of Reactor

Go Maximum Yield Coefficient = Reactor Volume*MLVSS*(1+(Mean Cell Residence Time*Endogenous decay coefficient))/(Mean Cell Residence Time*Average daily influent flow rate*(Influent Substrate Concentration-Effluent substrate concentration))

Maximum Yield Coefficient given Observed Cell Yield

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

Maximum Yield Coefficient given Volume of Reactor Formula

What is volume of reactor?

The volume of the reactor is the total capacity of the reactor which is allowed in it as influent sludge. It is calculated in cubic meters.

What is the purpose of activated sludge process?

The activated sludge process is a multi-chamber reactor unit that uses highly concentrated microorganisms to degrade organics and remove nutrients from wastewater, producing quality effluent. The goal is to maintain aerobic conditions and to keep the activated sludge suspended.

How to Calculate Maximum Yield Coefficient given Volume of Reactor?

Maximum Yield Coefficient given Volume of Reactor calculator uses Maximum Yield Coefficient = Reactor Volume*MLVSS*(1+(Mean Cell Residence Time*Endogenous decay coefficient))/(Mean Cell Residence Time*Average daily influent flow rate*(Influent Substrate Concentration-Effluent substrate concentration)) to calculate the Maximum Yield Coefficient, Maximum Yield Coefficient given Volume of Reactor represents the maximum mg of cells produced per mg organic matter removed. Maximum Yield Coefficient is denoted by Y symbol.

How to calculate Maximum Yield Coefficient given Volume of Reactor using this online calculator? To use this online calculator for Maximum Yield Coefficient given Volume of Reactor, enter Reactor Volume (V), MLVSS (X_a), Mean Cell Residence Time (θ_c), Endogenous decay coefficient (k_d), Average daily influent flow rate (Q), Influent Substrate Concentration (S_o) & Effluent substrate concentration (S) and hit the calculate button. Here is how the Maximum Yield Coefficient given Volume of Reactor calculation can be explained with given input values -> 4.017857 = 0.1*2.5*(1+(604800*5.78703703703704E-07))/(604800*1.38888888888889E-05*(0.08-0.015)).

FAQ

What is Maximum Yield Coefficient given Volume of Reactor?

Maximum Yield Coefficient given Volume of Reactor represents the maximum mg of cells produced per mg organic matter removed and is represented as Y = V*X_a*(1+(θ_c*k_d))/(θ_c*Q*(S_o-S)) or Maximum Yield Coefficient = Reactor Volume*MLVSS*(1+(Mean Cell Residence Time*Endogenous decay coefficient))/(Mean Cell Residence Time*Average daily influent flow rate*(Influent Substrate Concentration-Effluent substrate concentration)). The Reactor Volume gives us the capacity of the reactor, MLVSS is the concentration of microorganisms in the reactor, Mean Cell Residence Time is the average time that the sludge remains in the reactor, Endogenous decay coefficient is a coefficient representing the decrease of cell mass in the MLVSS, Average daily influent flow rate is the total discharge that comes in the reactor, Influent Substrate Concentration is the concentration of BOD that is present in the influent & Effluent substrate concentration is the concentration of the BOD present in the effluent.

How to calculate Maximum Yield Coefficient given Volume of Reactor?

Maximum Yield Coefficient given Volume of Reactor represents the maximum mg of cells produced per mg organic matter removed is calculated using Maximum Yield Coefficient = Reactor Volume*MLVSS*(1+(Mean Cell Residence Time*Endogenous decay coefficient))/(Mean Cell Residence Time*Average daily influent flow rate*(Influent Substrate Concentration-Effluent substrate concentration)). To calculate Maximum Yield Coefficient given Volume of Reactor, you need Reactor Volume (V), MLVSS (X_a), Mean Cell Residence Time (θ_c), Endogenous decay coefficient (k_d), Average daily influent flow rate (Q), Influent Substrate Concentration (S_o) & Effluent substrate concentration (S). With our tool, you need to enter the respective value for Reactor Volume, MLVSS, Mean Cell Residence Time, Endogenous decay coefficient, Average daily influent flow rate, Influent Substrate Concentration & Effluent substrate concentration 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 Maximum Yield Coefficient?

In this formula, Maximum Yield Coefficient uses Reactor Volume, MLVSS, Mean Cell Residence Time, Endogenous decay coefficient, Average daily influent flow rate, Influent Substrate Concentration & Effluent substrate concentration. We can use 1 other way(s) to calculate the same, which is/are as follows -

Maximum Yield Coefficient = Observed Cell Yield-(Endogenous decay coefficient*Mean Cell Residence Time)

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