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Maximum Yield Coefficient given Volume of Aeration Tank Formula

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Maximum Yield Coefficient Y represents the maximum mg of cells produced per mg organic matter removed. Check FAQs

Y = \frac{V}{\frac{Q s \cdot (Q i - Q o) \cdot θ c}{X \cdot (1 + K e \cdot θ c)}}

Y - Maximum Yield Coefficient?V - Volume of Tank?Q_s - Sewage Discharge?Q_i - Influent BOD?Q_o - Effluent BOD?θ_c - Sludge Age?X - MLSS?K^e - Endogenous Respiration Rate Constant?

Maximum Yield Coefficient given Volume of Aeration Tank Example

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Here is how the Maximum Yield Coefficient given Volume of Aeration Tank equation looks like with Values.

Here is how the Maximum Yield Coefficient given Volume of Aeration Tank equation looks like with Units.

Here is how the Maximum Yield Coefficient given Volume of Aeration Tank equation looks like.

0.5 = \frac{9}{\frac{10 \cdot (0.48 - 0.4) \cdot 5}{1200 \cdot (1 + 3 \cdot 5)}}

0.5 = \frac{9m³}{\frac{10m³/s \cdot (0.48mg/L - 0.4mg/L) \cdot 5d}{1200mg/L \cdot (1 + 3d⁻¹ \cdot 5d)}}

0.5 = \frac{9}{\frac{10 \cdot (0.48 - 0.4) \cdot 5}{1200 \cdot (1 + 3 \cdot 5)}}

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Maximum Yield Coefficient given Volume of Aeration Tank Solution

Follow our step by step solution on how to calculate Maximum Yield Coefficient given Volume of Aeration Tank?

FIRST Step Consider the formula

Y = \frac{V}{\frac{Q s \cdot (Q i - Q o) \cdot θ c}{X \cdot (1 + K e \cdot θ c)}}

Next Step Substitute values of Variables

∴

Y = \frac{9m³}{\frac{10m³/s \cdot (0.48mg/L - 0.4mg/L) \cdot 5d}{1200mg/L \cdot (1 + 3d⁻¹ \cdot 5d)}}

Next Step Convert Units

∴

Y = \frac{9m³}{\frac{10m³/s \cdot (0.0005kg/m³ - 0.0004kg/m³) \cdot 432000s}{1.2kg/m³ \cdot (1 + 3.5E-5s⁻¹ \cdot 432000s)}}

Next Step Prepare to Evaluate

∴

Y = \frac{9}{\frac{10 \cdot (0.0005 - 0.0004) \cdot 432000}{1.2 \cdot (1 + 3.5E-5 \cdot 432000)}}

LAST Step Evaluate

∴

Y = 0.5

Maximum Yield Coefficient given Volume of Aeration Tank Formula Elements

Variables

Maximum Yield Coefficient

Maximum Yield Coefficient Y represents the maximum mg of cells produced per mg organic matter removed.

Symbol: Y

Measurement: NAUnit: Unitless

Note: Value should be between 0.4 to 0.8.

Formulas to find Maximum Yield Coefficient

Volume of Tank

Volume of Tank is defined as the capacity of flocculation and mixing tank.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Tank

Sewage Discharge

Sewage discharge is the flow rate of sewage when it is being discharged into the water body.

Symbol: Q_s

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Sewage Discharge

Influent BOD

Influent BOD is the total amount of BOD which is present in the incoming sewage.

Symbol: Q_i

Measurement: DensityUnit: mg/L

Note: Value should be greater than 0.

Formulas to find Influent BOD

Effluent BOD

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.

Symbol: Q_o

Measurement: DensityUnit: mg/L

Note: Value should be greater than 0.

Formulas to find Effluent BOD

Sludge Age

Sludge Age is the average time for which the particle of suspended solids remains in aeration.

Symbol: θ_c

Measurement: TimeUnit: d

Note: Value should be greater than 0.

Formulas to find Sludge Age

MLSS

MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics).

Symbol: X

Measurement: DensityUnit: mg/L

Note: Value should be between 1000 to 6500.

Formulas to find MLSS

Endogenous Respiration Rate Constant

Endogenous Respiration Rate Constant is used for designing a complete-mix activated-sludge system.

Symbol: K^e

Measurement: First Order Reaction Rate ConstantUnit: d⁻¹

Note: Value should be greater than 0.

Formulas to find Endogenous Respiration Rate Constant

Other formulas in Size and Volume of the Aeration Tank category

Go Volume of Aeration Tank

V = \frac{Y \cdot Q s \cdot (Q i - Q o) \cdot θ c}{X \cdot (1 + K e \cdot θ c)}

Go MLSS given volume of Aeration Tank

X = \frac{Y \cdot Q s \cdot (Q i - Q o) \cdot θ c}{V \cdot (1 + K e \cdot θ c)}

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

Maximum Yield Coefficient given Volume of Aeration Tank evaluator uses Maximum Yield Coefficient = Volume of Tank/((Sewage Discharge*(Influent BOD-Effluent BOD)*Sludge Age)/(MLSS*(1+Endogenous Respiration Rate Constant*Sludge Age))) to evaluate 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 evaluate Maximum Yield Coefficient given Volume of Aeration Tank using this online evaluator? To use this online evaluator 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.

FAQs on Maximum Yield Coefficient given Volume of Aeration Tank

What is the formula to find Maximum Yield Coefficient given Volume of Aeration Tank?

The formula of Maximum Yield Coefficient given Volume of Aeration Tank is expressed as Maximum Yield Coefficient = Volume of Tank/((Sewage Discharge*(Influent BOD-Effluent BOD)*Sludge Age)/(MLSS*(1+Endogenous Respiration Rate Constant*Sludge Age))). Here is an example- 0.5 = 9/((10*(0.00048-0.0004)*432000)/(1.2*(1+3.47222222222222E-05*432000))).

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

With 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) we can find Maximum Yield Coefficient given Volume of Aeration Tank using the formula - Maximum Yield Coefficient = Volume of Tank/((Sewage Discharge*(Influent BOD-Effluent BOD)*Sludge Age)/(MLSS*(1+Endogenous Respiration Rate Constant*Sludge Age))).

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Maximum Yield Coefficient given Volume of Aeration Tank Formula

Maximum Yield Coefficient given Volume of Aeration Tank Example

Maximum Yield Coefficient given Volume of Aeration Tank Solution

Maximum Yield Coefficient given Volume of Aeration Tank Formula Elements

Other formulas in Size and Volume of the Aeration Tank category

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

FAQs on Maximum Yield Coefficient given Volume of Aeration Tank

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