Maximum Yield Coefficient given Volume of Reactor Calculator

✖Volume of reactor refers to the design and operation of wastewater treatment systems.ⓘ Volume of reactor [V_m]			+10% -10%
✖MLVSS refers to the amount of active microbial biomass, which is crucial for the biological degradation of organic pollutants.ⓘ 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 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 [k_d]			+10% -10%
✖Average Daily Influent Flow Rate is the total discharge that comes in the reactor.ⓘ Average Daily Influent Flow Rate [Q_a]			+10% -10%
✖Influent Substrate Concentration h refers to the concentration of organic matter or nutrients in the raw wastewater entering a treatment plant.ⓘ Influent Substrate Concentration h [S_h]			+10% -10%
✖Effluent Substrate Concentration refers to the concentration of organic matter or nutrients present in the treated wastewater (effluent) that is discharged from a wastewater treatment plant.ⓘ Effluent Substrate Concentration [S]			+10% -10%

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

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Maximum Yield Coefficient given Volume of Reactor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Max Yield Coefficient = Volume of reactor*MLVSS*(1+(Mean Cell Residence Time*Endogenous Decay Coefficient))/(Mean Cell Residence Time*Average Daily Influent Flow Rate*(Influent Substrate Concentration h-Effluent Substrate Concentration))
Y' = V_m*X_a*(1+(θ_c*k_d))/(θ_c*Q_a*(S_h-S))
This formula uses 8 Variables

Variables Used

Max Yield Coefficient - Max Yield Coefficient refers to the maximum mg of cells produced per mg organic matter removed.
Volume of reactor - (Measured in Cubic Meter) - Volume of reactor refers to the design and operation of wastewater treatment systems.
MLVSS - (Measured in Kilogram per Cubic Meter) - MLVSS refers to the amount of active microbial biomass, which is crucial for the biological degradation of organic pollutants.
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 refers to the rate at which microorganisms in the biomass consume their own cell mass in the absence of an external food source.
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 h - (Measured in Kilogram per Cubic Meter) - Influent Substrate Concentration h refers to the concentration of organic matter or nutrients in the raw wastewater entering a treatment plant.
Effluent Substrate Concentration - (Measured in Kilogram per Cubic Meter) - Effluent Substrate Concentration refers to the concentration of organic matter or nutrients present in the treated wastewater (effluent) that is discharged from a wastewater treatment plant.

STEP 1: Convert Input(s) to Base Unit

Volume of reactor: 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 h: 50 Milligram per Liter --> 0.05 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_m*X_a*(1+(θ_c*k_d))/(θ_c*Q_a*(S_h-S)) --> 0.1*2.5*(1+(604800*5.78703703703704E-07))/(604800*1.38888888888889E-05*(0.05-0.015))

Evaluating ... ...

Y' = 1.14795918367347

STEP 3: Convert Result to Output's Unit

1.14795918367347 --> No Conversion Required

FINAL ANSWER

1.14795918367347 ≈ 1.147959 <-- Max Yield Coefficient

(Calculation completed in 00.004 seconds)

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< Maximum Yield Coefficient Calculators

Maximum Yield Coefficient given Volume of Reactor

LaTeX Go Max Yield Coefficient = Volume of reactor*MLVSS*(1+(Mean Cell Residence Time*Endogenous Decay Coefficient))/(Mean Cell Residence Time*Average Daily Influent Flow Rate*(Influent Substrate Concentration h-Effluent Substrate Concentration))

Maximum Yield Coefficient given Observed Cell Yield

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

Maximum Yield Coefficient given Volume of Reactor Formula

LaTeX Go

What is Volume of Reactor?

Volume of 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?

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 Max Yield Coefficient = Volume of reactor*MLVSS*(1+(Mean Cell Residence Time*Endogenous Decay Coefficient))/(Mean Cell Residence Time*Average Daily Influent Flow Rate*(Influent Substrate Concentration h-Effluent Substrate Concentration)) to calculate the Max Yield Coefficient, The Maximum Yield Coefficient given Volume of Reactor formula is defined as the maximum amount of biomass (microorganisms) produced per unit of substrate (organic matter) consumed in a biological wastewater treatment process. Max 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 Volume of reactor (V_m), MLVSS (X_a), Mean Cell Residence Time (θ_c), Endogenous Decay Coefficient (k_d), Average Daily Influent Flow Rate (Q_a), Influent Substrate Concentration h (S_h) & 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 -> 1.147959 = 0.1*2.5*(1+(604800*5.78703703703704E-07))/(604800*1.38888888888889E-05*(0.05-0.015)).

FAQ

What is Maximum Yield Coefficient given Volume of Reactor?

The Maximum Yield Coefficient given Volume of Reactor formula is defined as the maximum amount of biomass (microorganisms) produced per unit of substrate (organic matter) consumed in a biological wastewater treatment process and is represented as Y' = V_m*X_a*(1+(θ_c*k_d))/(θ_c*Q_a*(S_h-S)) or Max Yield Coefficient = Volume of reactor*MLVSS*(1+(Mean Cell Residence Time*Endogenous Decay Coefficient))/(Mean Cell Residence Time*Average Daily Influent Flow Rate*(Influent Substrate Concentration h-Effluent Substrate Concentration)). Volume of reactor refers to the design and operation of wastewater treatment systems, MLVSS refers to the amount of active microbial biomass, which is crucial for the biological degradation of organic pollutants, Mean Cell Residence Time is the average time that the sludge remains in the reactor, 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, Average Daily Influent Flow Rate is the total discharge that comes in the reactor, Influent Substrate Concentration h refers to the concentration of organic matter or nutrients in the raw wastewater entering a treatment plant & Effluent Substrate Concentration refers to the concentration of organic matter or nutrients present in the treated wastewater (effluent) that is discharged from a wastewater treatment plant.

How to calculate Maximum Yield Coefficient given Volume of Reactor?

The Maximum Yield Coefficient given Volume of Reactor formula is defined as the maximum amount of biomass (microorganisms) produced per unit of substrate (organic matter) consumed in a biological wastewater treatment process is calculated using Max Yield Coefficient = Volume of reactor*MLVSS*(1+(Mean Cell Residence Time*Endogenous Decay Coefficient))/(Mean Cell Residence Time*Average Daily Influent Flow Rate*(Influent Substrate Concentration h-Effluent Substrate Concentration)). To calculate Maximum Yield Coefficient given Volume of Reactor, you need Volume of reactor (V_m), MLVSS (X_a), Mean Cell Residence Time (θ_c), Endogenous Decay Coefficient (k_d), Average Daily Influent Flow Rate (Q_a), Influent Substrate Concentration h (S_h) & Effluent Substrate Concentration (S). With our tool, you need to enter the respective value for Volume of reactor, MLVSS, Mean Cell Residence Time, Endogenous Decay Coefficient, Average Daily Influent Flow Rate, Influent Substrate Concentration h & Effluent Substrate Concentration and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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