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Influent BOD given Mass of Wasted Activated Sludge Formula

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

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

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

Influent BOD given Mass of Wasted Activated Sludge Example

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Here is how the Influent BOD given Mass of Wasted Activated Sludge equation looks like with Values.

Here is how the Influent BOD given Mass of Wasted Activated Sludge equation looks like with Units.

Here is how the Influent BOD given Mass of Wasted Activated Sludge equation looks like.

11.1999 = (\frac{53626 + (2.99 \cdot 9 \cdot 1200)}{0.5 \cdot 10}) + 0.4

11.1999mg/L = (\frac{53626mg + (2.99d⁻¹ \cdot 9m³ \cdot 1200mg/L)}{0.5 \cdot 10m³/s}) + 0.4mg/L

11.1999 = (\frac{53626 + (2.99 \cdot 9 \cdot 1200)}{0.5 \cdot 10}) + 0.4

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Influent BOD given Mass of Wasted Activated Sludge Solution

Follow our step by step solution on how to calculate Influent BOD given Mass of Wasted Activated Sludge?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

Q i = (\frac{0.0536kg + (3.5E-5s⁻¹ \cdot 9m³ \cdot 1.2kg/m³)}{0.5 \cdot 10m³/s}) + 0.0004kg/m³

Next Step Prepare to Evaluate

∴

Q i = (\frac{0.0536 + (3.5E-5 \cdot 9 \cdot 1.2)}{0.5 \cdot 10}) + 0.0004

Next Step Evaluate

∴

Q i = 0.01119995kg/m³

Next Step Convert to Output's Unit

∴

Q i = 11.19995mg/L

LAST Step Rounding Answer

∴

Q i = 11.1999mg/L

Influent BOD given Mass of Wasted Activated Sludge Formula Elements

Variables

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

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

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

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 in Influent and Effluent BOD category

Go Influent BOD given Specific Substrate Utilization Rate Per Day

Q i' = (\frac{U \cdot V \cdot X'}{Q s}) + Q o

Go Effluent BOD given Mass of Wasted Activated Sludge

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

How to Evaluate Influent BOD given Mass of Wasted Activated Sludge?

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

How to evaluate Influent BOD given Mass of Wasted Activated Sludge using this online evaluator? To use this online evaluator for Influent BOD 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^'), Maximum Yield Coefficient (Y), Sewage Discharge (Q_s) & Effluent BOD (Q_o) and hit the calculate button.

FAQs on Influent BOD given Mass of Wasted Activated Sludge

What is the formula to find Influent BOD given Mass of Wasted Activated Sludge?

The formula of Influent BOD given Mass of Wasted Activated Sludge is expressed as Influent BOD = ((Mass of Wasted Activated Sludge+(Endogenous Respiration Rate Constant*Volume of Tank*Mixed Liquor Suspended Solids))/(Maximum Yield Coefficient*Sewage Discharge))+Effluent BOD. Here is an example- 11199.95 = ((0.053626+(3.46064814814815E-05*9*1.2))/(0.5*10))+0.0004.

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

Can the Influent BOD given Mass of Wasted Activated Sludge be negative?

No, the Influent BOD given Mass of Wasted Activated Sludge, measured in Density cannot be negative.

Which unit is used to measure Influent BOD given Mass of Wasted Activated Sludge?

Influent BOD given Mass of Wasted Activated Sludge is usually measured using the Milligram per Liter[mg/L] for Density. Kilogram per Cubic Meter[mg/L], Kilogram per Cubic Centimeter[mg/L], Gram per Cubic Meter[mg/L] are the few other units in which Influent BOD given Mass of Wasted Activated Sludge can be measured.

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Influent BOD given Mass of Wasted Activated Sludge Formula

Influent BOD given Mass of Wasted Activated Sludge Example

Influent BOD given Mass of Wasted Activated Sludge Solution

Influent BOD given Mass of Wasted Activated Sludge Formula Elements

Other formulas in Influent and Effluent BOD category

How to Evaluate Influent BOD given Mass of Wasted Activated Sludge?

FAQs on Influent BOD given Mass of Wasted Activated Sludge

Variable Name