Maximum Yield Coefficient given Volume of Aeration Tank Calculator

✖Volume of Tank is defined as the capacity of flocculation and mixing tank.ⓘ Volume of Tank [V]			+10% -10%
✖Sewage discharge is the flow rate of sewage when it is being discharged into the water body.ⓘ Sewage Discharge [Q_s]			+10% -10%
✖Influent BOD is the total amount of BOD which is present in the incoming sewage.ⓘ Influent BOD [Q_i]			+10% -10%
✖Effluent BOD is the amount of dissolved oxygen needed by aerobic biological organisms to break down organic material present in a water sample at a certain temperature over a specific time period.ⓘ Effluent BOD [Q_o]			+10% -10%
✖Sludge Age is the average time for which the particle of suspended solids remains in aeration.ⓘ Sludge Age [θ_c]			+10% -10%
✖MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics).ⓘ MLSS [X]			+10% -10%
✖Endogenous Respiration Rate Constant is used for designing a complete-mix activated-sludge system.ⓘ Endogenous Respiration Rate Constant [K^e]			+10% -10%

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

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Maximum Yield Coefficient given Volume of Aeration Tank Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Yield Coefficient = Volume of Tank/((Sewage Discharge*(Influent BOD-Effluent BOD)*Sludge Age)/(MLSS*(1+Endogenous Respiration Rate Constant*Sludge Age)))
Y = V/((Q_s*(Q_i-Q_o)*θ_c)/(X*(1+K^e*θ_c)))
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.
Volume of Tank - (Measured in Cubic Meter) - Volume of Tank is defined as the capacity of flocculation and mixing tank.
Sewage Discharge - (Measured in Cubic Meter per Second) - Sewage discharge is the flow rate of sewage when it is being discharged into the water body.
Influent BOD - (Measured in Kilogram per Cubic Meter) - Influent BOD is the total amount of BOD which is present in the incoming sewage.
Effluent BOD - (Measured in Kilogram per Cubic Meter) - Effluent BOD is the amount of dissolved oxygen needed by aerobic biological organisms to break down organic material present in a water sample at a certain temperature over a specific time period.
Sludge Age - (Measured in Second) - Sludge Age is the average time for which the particle of suspended solids remains in aeration.
MLSS - (Measured in Kilogram per Cubic Meter) - MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics).
Endogenous Respiration Rate Constant - (Measured in 1 Per Second) - Endogenous Respiration Rate Constant is used for designing a complete-mix activated-sludge system.

STEP 1: Convert Input(s) to Base Unit

Volume of Tank: 9 Cubic Meter --> 9 Cubic Meter No Conversion Required
Sewage Discharge: 10 Cubic Meter per Second --> 10 Cubic Meter per Second No Conversion Required
Influent BOD: 0.48 Milligram per Liter --> 0.00048 Kilogram per Cubic Meter (Check conversion here)
Effluent BOD: 0.4 Milligram per Liter --> 0.0004 Kilogram per Cubic Meter (Check conversion here)
Sludge Age: 5 Day --> 432000 Second (Check conversion here)
MLSS: 1200 Milligram per Liter --> 1.2 Kilogram per Cubic Meter (Check conversion here)
Endogenous Respiration Rate Constant: 3 1 Per Day --> 3.47222222222222E-05 1 Per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Y = V/((Q_s*(Q_i-Q_o)*θ_c)/(X*(1+K^e*θ_c))) --> 9/((10*(0.00048-0.0004)*432000)/(1.2*(1+3.47222222222222E-05*432000)))

Evaluating ... ...

Y = 0.5

STEP 3: Convert Result to Output's Unit

0.5 --> No Conversion Required

FINAL ANSWER

0.5 <-- Maximum Yield Coefficient

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< Size and Volume of the Aeration Tank Calculators

Maximum Yield Coefficient given Volume of Aeration Tank

LaTeX Go Maximum Yield Coefficient = Volume of Tank/((Sewage Discharge*(Influent BOD-Effluent BOD)*Sludge Age)/(MLSS*(1+Endogenous Respiration Rate Constant*Sludge Age)))

Sewage Discharge given Volume of Aeration Tank

LaTeX Go Sewage Discharge = Volume of Tank/((Maximum Yield Coefficient*(Influent BOD-Effluent BOD)*Sludge Age)/(MLSS*(1+Endogenous Respiration Rate Constant*Sludge Age)))

MLSS given volume of Aeration Tank

LaTeX Go MLSS = (Maximum Yield Coefficient*Sewage Discharge*(Influent BOD-Effluent BOD)*Sludge Age)/(Volume of Tank*(1+Endogenous Respiration Rate Constant*Sludge Age))

Volume of Aeration Tank

LaTeX Go Volume of Tank = (Maximum Yield Coefficient*Sewage Discharge*(Influent BOD-Effluent BOD)*Sludge Age)/(MLSS*(1+Endogenous Respiration Rate Constant*Sludge Age))

Maximum Yield Coefficient given Volume of Aeration Tank Formula

LaTeX Go

What is MLSS?

Mixed liquor is a mixture of raw or settled wastewater and activated sludge contained in an aeration basin in the activated sludge process. MLSS are used to control the wastewater treatment plant in the suspended growth process.

How to Calculate Maximum Yield Coefficient given Volume of Aeration Tank?

Maximum Yield Coefficient given Volume of Aeration Tank calculator uses Maximum Yield Coefficient = Volume of Tank/((Sewage Discharge*(Influent BOD-Effluent BOD)*Sludge Age)/(MLSS*(1+Endogenous Respiration Rate Constant*Sludge Age))) to calculate the Maximum Yield Coefficient, The Maximum Yield Coefficient given Volume of Aeration Tank is defined as the difference between initial biomass and maximum biomass at end of growth phase. It is a measure of the efficiency with which microorganisms convert substrate (pollutants) into biomass in an aeration tank. Maximum Yield Coefficient is denoted by Y symbol.

How to calculate Maximum Yield Coefficient given Volume of Aeration Tank using this online calculator? To use this online calculator for Maximum Yield Coefficient given Volume of Aeration Tank, enter Volume of Tank (V), Sewage Discharge (Q_s), Influent BOD (Q_i), Effluent BOD (Q_o), Sludge Age (θ_c), MLSS (X) & Endogenous Respiration Rate Constant (K^e) and hit the calculate button. Here is how the Maximum Yield Coefficient given Volume of Aeration Tank calculation can be explained with given input values -> 0.5 = 9/((10*(0.00048-0.0004)*432000)/(1.2*(1+3.47222222222222E-05*432000))).

FAQ

What is Maximum Yield Coefficient given Volume of Aeration Tank?

The Maximum Yield Coefficient given Volume of Aeration Tank is defined as the difference between initial biomass and maximum biomass at end of growth phase. It is a measure of the efficiency with which microorganisms convert substrate (pollutants) into biomass in an aeration tank and is represented as Y = V/((Q_s*(Q_i-Q_o)*θ_c)/(X*(1+K^e*θ_c))) or Maximum Yield Coefficient = Volume of Tank/((Sewage Discharge*(Influent BOD-Effluent BOD)*Sludge Age)/(MLSS*(1+Endogenous Respiration Rate Constant*Sludge Age))). Volume of Tank is defined as the capacity of flocculation and mixing tank, Sewage discharge is the flow rate of sewage when it is being discharged into the water body, Influent BOD is the total amount of BOD which is present in the incoming sewage, Effluent BOD is the amount of dissolved oxygen needed by aerobic biological organisms to break down organic material present in a water sample at a certain temperature over a specific time period, Sludge Age is the average time for which the particle of suspended solids remains in aeration, MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics) & Endogenous Respiration Rate Constant is used for designing a complete-mix activated-sludge system.

How to calculate Maximum Yield Coefficient given Volume of Aeration Tank?

The Maximum Yield Coefficient given Volume of Aeration Tank is defined as the difference between initial biomass and maximum biomass at end of growth phase. It is a measure of the efficiency with which microorganisms convert substrate (pollutants) into biomass in an aeration tank is calculated using Maximum Yield Coefficient = Volume of Tank/((Sewage Discharge*(Influent BOD-Effluent BOD)*Sludge Age)/(MLSS*(1+Endogenous Respiration Rate Constant*Sludge Age))). To calculate Maximum Yield Coefficient given Volume of Aeration Tank, you need Volume of Tank (V), Sewage Discharge (Q_s), Influent BOD (Q_i), Effluent BOD (Q_o), Sludge Age (θ_c), MLSS (X) & Endogenous Respiration Rate Constant (K^e). With our tool, you need to enter the respective value for Volume of Tank, Sewage Discharge, Influent BOD, Effluent BOD, Sludge Age, MLSS & Endogenous Respiration Rate Constant 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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