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Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge Formula

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

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

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

Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge Example

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Here is how the Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge equation looks like with Values.

Here is how the Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge equation looks like with Units.

Here is how the Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge equation looks like.

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

2.992d⁻¹ = \frac{(0.5 \cdot 10m³/s \cdot (11.2mg/L - 0.4mg/L)) - 53626mg}{1200mg/L \cdot 9m³}

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

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Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge Solution

Follow our step by step solution on how to calculate Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

K e = \frac{(0.5 \cdot 10m³/s \cdot (11.2mg/L - 0.4mg/L)) - 53626mg}{1200mg/L \cdot 9m³}

Next Step Convert Units

∴

K e = \frac{(0.5 \cdot 10m³/s \cdot (0.0112kg/m³ - 0.0004kg/m³)) - 0.0536kg}{1.2kg/m³ \cdot 9m³}

Next Step Prepare to Evaluate

∴

K e = \frac{(0.5 \cdot 10 \cdot (0.0112 - 0.0004)) - 0.0536}{1.2 \cdot 9}

Next Step Evaluate

∴

K e = 3.46296296296302E-05s⁻¹

Next Step Convert to Output's Unit

∴

K e = 2.99200000000005d⁻¹

LAST Step Rounding Answer

∴

K e = 2.992d⁻¹

Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge Formula Elements

Variables

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

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

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

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

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

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

Other formulas in Endogenous Respiration Rate category

Go Mass of Wasted Activated Sludge

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

Go Concentration of Solids in Returned Sludge given MLSS

X Em = \frac{X' \cdot V}{Q w \cdot θ c}

How to Evaluate Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge?

Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge evaluator uses Endogenous Respiration Rate Constant = ((Maximum Yield Coefficient*Sewage Discharge*(Influent BOD-Effluent BOD))-Mass of Wasted Activated Sludge)/(Mixed Liquor Suspended Solids*Volume of Tank) to evaluate the Endogenous Respiration Rate Constant, The Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge formula is defined as the calculation of endogenous respiration rate constant when we have prior information of mass of wasted activated sludge. Endogenous Respiration Rate Constant is denoted by K^e symbol.

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

FAQs on Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge

What is the formula to find Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge?

The formula of Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge is expressed as Endogenous Respiration Rate Constant = ((Maximum Yield Coefficient*Sewage Discharge*(Influent BOD-Effluent BOD))-Mass of Wasted Activated Sludge)/(Mixed Liquor Suspended Solids*Volume of Tank). Here is an example- 258508.8 = ((0.5*10*(0.0112-0.0004))-0.053626)/(1.2*9).

How to calculate Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge?

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

Can the Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge be negative?

No, the Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge, measured in First Order Reaction Rate Constant cannot be negative.

Which unit is used to measure Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge?

Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge is usually measured using the 1 Per Day[d⁻¹] for First Order Reaction Rate Constant. 1 Per Second[d⁻¹], 1 Per Millisecond[d⁻¹], 1 Per Hour[d⁻¹] are the few other units in which Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge can be measured.

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Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge Formula

Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge Example

Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge Solution

Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge Formula Elements

Other formulas in Endogenous Respiration Rate category

How to Evaluate Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge?

FAQs on Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge

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