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Maximum Yield Coefficient given Mass of Wasted Activated Sludge Formula

GoMaximum Yield Coefficient given Sludge Age Formula

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

Y = \frac{M ws + (K e \cdot V \cdot X')}{Q s \cdot (Q i - Q o)}

Y - Maximum Yield Coefficient?M_ws - Mass of Wasted Activated Sludge?K^e - Endogenous Respiration Rate Constant?V - Volume of Tank?X^' - Mixed Liquor Suspended Solids?Q_s - Sewage Discharge?Q_i - Influent BOD?Q_o - Effluent BOD?

Maximum Yield Coefficient given Mass of Wasted Activated Sludge Example

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Here is how the Maximum Yield Coefficient given Mass of Wasted Activated Sludge equation looks like with Values.

Here is how the Maximum Yield Coefficient given Mass of Wasted Activated Sludge equation looks like with Units.

Here is how the Maximum Yield Coefficient given Mass of Wasted Activated Sludge equation looks like.

0.5 = \frac{53626 + (2.99 \cdot 9 \cdot 1200)}{10 \cdot (11.2 - 0.4)}

0.5 = \frac{53626mg + (2.99d⁻¹ \cdot 9m³ \cdot 1200mg/L)}{10m³/s \cdot (11.2mg/L - 0.4mg/L)}

0.5 = \frac{53626 + (2.99 \cdot 9 \cdot 1200)}{10 \cdot (11.2 - 0.4)}

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Maximum Yield Coefficient given Mass of Wasted Activated Sludge Solution

Follow our step by step solution on how to calculate Maximum Yield Coefficient given Mass of Wasted Activated Sludge?

FIRST Step Consider the formula

Y = \frac{M ws + (K e \cdot V \cdot X')}{Q s \cdot (Q i - Q o)}

Next Step Substitute values of Variables

∴

Y = \frac{53626mg + (2.99d⁻¹ \cdot 9m³ \cdot 1200mg/L)}{10m³/s \cdot (11.2mg/L - 0.4mg/L)}

Next Step Convert Units

∴

Y = \frac{0.0536kg + (3.5E-5s⁻¹ \cdot 9m³ \cdot 1.2kg/m³)}{10m³/s \cdot (0.0112kg/m³ - 0.0004kg/m³)}

Next Step Prepare to Evaluate

∴

Y = \frac{0.0536 + (3.5E-5 \cdot 9 \cdot 1.2)}{10 \cdot (0.0112 - 0.0004)}

Next Step Evaluate

∴

Y = 0.499997685185185

LAST Step Rounding Answer

∴

Y = 0.5

Maximum Yield Coefficient given Mass of Wasted Activated Sludge Formula Elements

Variables

Maximum Yield Coefficient

Maximum Yield Coefficient is 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

Mass of Wasted Activated Sludge

Mass of Wasted Activated Sludge is the total mass of sludge that is removed from the wastewater treatment process, specifically from the activated sludge system.

Symbol: M_ws

Measurement: WeightUnit: mg

Note: Value should be greater than 0.

Formulas to find Mass of Wasted Activated Sludge

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

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

Mixed Liquor Suspended Solids

Mixed Liquor Suspended Solids is the concentration of suspended solids in the mixed liquor of an aeration tank during the activated sludge process.

Symbol: X^'

Measurement: DensityUnit: mg/L

Note: Value should be between 1000 to 6500.

Formulas to find Mixed Liquor Suspended Solids

Sewage Discharge

Sewage Discharge is the flow rate of sewage when it is being discharged in the river.

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 BOD present in the outing sewage.

Symbol: Q_o

Measurement: DensityUnit: mg/L

Note: Value should be greater than 0.

Formulas to find Effluent BOD

Other Formulas to find Maximum Yield Coefficient

Go Maximum Yield Coefficient given Sludge Age

Y = \frac{(\frac{1}{θ c}) + K e}{U}

Other formulas in Maximum Yield Coefficient category

Go Microbial Mass Synthesis given Maximum Yield Coefficient

M t = Y \cdot M s

How to Evaluate Maximum Yield Coefficient given Mass of Wasted Activated Sludge?

Maximum Yield Coefficient given Mass of Wasted Activated Sludge evaluator uses Maximum Yield Coefficient = (Mass of Wasted Activated Sludge+(Endogenous Respiration Rate Constant*Volume of Tank*Mixed Liquor Suspended Solids))/(Sewage Discharge*(Influent BOD-Effluent BOD)) to evaluate the Maximum Yield Coefficient, The Maximum Yield Coefficient given Mass of Wasted Activated Sludge formula is defined as the difference between initial biomass and maximum biomass at end of growth phase . Maximum Yield Coefficient is denoted by Y symbol.

How to evaluate Maximum Yield Coefficient given Mass of Wasted Activated Sludge using this online evaluator? To use this online evaluator for Maximum Yield Coefficient given Mass of Wasted Activated Sludge, enter Mass of Wasted Activated Sludge (M_ws), Endogenous Respiration Rate Constant (K^e), Volume of Tank (V), Mixed Liquor Suspended Solids (X^'), Sewage Discharge (Q_s), Influent BOD (Q_i) & Effluent BOD (Q_o) and hit the calculate button.

FAQs on Maximum Yield Coefficient given Mass of Wasted Activated Sludge

What is the formula to find Maximum Yield Coefficient given Mass of Wasted Activated Sludge?

The formula of Maximum Yield Coefficient given Mass of Wasted Activated Sludge is expressed as Maximum Yield Coefficient = (Mass of Wasted Activated Sludge+(Endogenous Respiration Rate Constant*Volume of Tank*Mixed Liquor Suspended Solids))/(Sewage Discharge*(Influent BOD-Effluent BOD)). Here is an example- 0.499998 = (0.053626+(3.46064814814815E-05*9*1.2))/(10*(0.0112-0.0004)).

How to calculate Maximum Yield Coefficient given Mass of Wasted Activated Sludge?

With Mass of Wasted Activated Sludge (M_ws), Endogenous Respiration Rate Constant (K^e), Volume of Tank (V), Mixed Liquor Suspended Solids (X^'), Sewage Discharge (Q_s), Influent BOD (Q_i) & Effluent BOD (Q_o) we can find Maximum Yield Coefficient given Mass of Wasted Activated Sludge using the formula - Maximum Yield Coefficient = (Mass of Wasted Activated Sludge+(Endogenous Respiration Rate Constant*Volume of Tank*Mixed Liquor Suspended Solids))/(Sewage Discharge*(Influent BOD-Effluent BOD)).

What are the other ways to Calculate Maximum Yield Coefficient?

Here are the different ways to Calculate Maximum Yield Coefficient-

Maximum Yield Coefficient=((1/Sludge Age)+Endogenous Respiration Rate Constant)/Specific Substrate Utilization Rate

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Maximum Yield Coefficient given Mass of Wasted Activated Sludge Formula

​GoMaximum Yield Coefficient given Sludge Age Formula

Maximum Yield Coefficient given Mass of Wasted Activated Sludge Example

Maximum Yield Coefficient given Mass of Wasted Activated Sludge Solution

Maximum Yield Coefficient given Mass of Wasted Activated Sludge Formula Elements

Other Formulas to find Maximum Yield Coefficient

Other formulas in Maximum Yield Coefficient category

How to Evaluate Maximum Yield Coefficient given Mass of Wasted Activated Sludge?

FAQs on Maximum Yield Coefficient given Mass of Wasted Activated Sludge

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GoMaximum Yield Coefficient given Sludge Age Formula