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Volume of Aerator given Specific Substrate Utilization Rate Per Day Formula

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

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

V - Volume of Tank?Q_s - Sewage Discharge?Q_i - Influent BOD?Q_o - Effluent BOD?U' - Specific Substrate Utilization Rate Per Day?X^' - Mixed Liquor Suspended Solids?

Volume of Aerator given Specific Substrate Utilization Rate Per Day Example

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Here is how the Volume of Aerator given Specific Substrate Utilization Rate Per Day equation looks like with Values.

Here is how the Volume of Aerator given Specific Substrate Utilization Rate Per Day equation looks like with Units.

Here is how the Volume of Aerator given Specific Substrate Utilization Rate Per Day equation looks like.

9 = \frac{10 \cdot (11.2 - 0.4)}{0.01 \cdot 1200}

9m³ = \frac{10m³/s \cdot (11.2mg/L - 0.4mg/L)}{0.01s⁻¹ \cdot 1200mg/L}

9 = \frac{10 \cdot (11.2 - 0.4)}{0.01 \cdot 1200}

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Volume of Aerator given Specific Substrate Utilization Rate Per Day Solution

Follow our step by step solution on how to calculate Volume of Aerator given Specific Substrate Utilization Rate Per Day?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = \frac{10m³/s \cdot (11.2mg/L - 0.4mg/L)}{0.01s⁻¹ \cdot 1200mg/L}

Next Step Convert Units

∴

V = \frac{10m³/s \cdot (0.0112kg/m³ - 0.0004kg/m³)}{0.01s⁻¹ \cdot 1.2kg/m³}

Next Step Prepare to Evaluate

∴

V = \frac{10 \cdot (0.0112 - 0.0004)}{0.01 \cdot 1.2}

LAST Step Evaluate

∴

V = 9m³

Volume of Aerator given Specific Substrate Utilization Rate Per Day Formula Elements

Variables

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 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

Specific Substrate Utilization Rate Per Day

Specific Substrate Utilization Rate Per Day is the rate at which a specific substrate is utilized by microorganisms within a treatment system, expressed on a per-day basis.

Symbol: U'

Measurement: First Order Reaction Rate ConstantUnit: s⁻¹

Note: Value should be greater than 0.

Formulas to find Specific Substrate Utilization Rate Per Day

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

Other formulas in Volume of Aerator category

Go Volume of Tank given Mass of Solids in Reactor

V r = \frac{M s}{X'}

Go Volume of Aerator given Sludge Age

V a = \frac{θ c \cdot M'}{X'}

How to Evaluate Volume of Aerator given Specific Substrate Utilization Rate Per Day?

Volume of Aerator given Specific Substrate Utilization Rate Per Day evaluator uses Volume of Tank = (Sewage Discharge*(Influent BOD-Effluent BOD))/(Specific Substrate Utilization Rate Per Day*Mixed Liquor Suspended Solids) to evaluate the Volume of Tank, The Volume of Aerator given Specific Substrate Utilization Rate Per Day formula is defined as the calculation of volume of aerator tank when when we have prior information of specific substrate utilization rate per day. Volume of Tank is denoted by V symbol.

How to evaluate Volume of Aerator given Specific Substrate Utilization Rate Per Day using this online evaluator? To use this online evaluator for Volume of Aerator given Specific Substrate Utilization Rate Per Day, enter Sewage Discharge (Q_s), Influent BOD (Q_i), Effluent BOD (Q_o), Specific Substrate Utilization Rate Per Day (U') & Mixed Liquor Suspended Solids (X^') and hit the calculate button.

FAQs on Volume of Aerator given Specific Substrate Utilization Rate Per Day

What is the formula to find Volume of Aerator given Specific Substrate Utilization Rate Per Day?

The formula of Volume of Aerator given Specific Substrate Utilization Rate Per Day is expressed as Volume of Tank = (Sewage Discharge*(Influent BOD-Effluent BOD))/(Specific Substrate Utilization Rate Per Day*Mixed Liquor Suspended Solids). Here is an example- 9 = (10*(0.0112-0.0004))/(0.01*1.2).

How to calculate Volume of Aerator given Specific Substrate Utilization Rate Per Day?

With Sewage Discharge (Q_s), Influent BOD (Q_i), Effluent BOD (Q_o), Specific Substrate Utilization Rate Per Day (U') & Mixed Liquor Suspended Solids (X^') we can find Volume of Aerator given Specific Substrate Utilization Rate Per Day using the formula - Volume of Tank = (Sewage Discharge*(Influent BOD-Effluent BOD))/(Specific Substrate Utilization Rate Per Day*Mixed Liquor Suspended Solids).

Can the Volume of Aerator given Specific Substrate Utilization Rate Per Day be negative?

No, the Volume of Aerator given Specific Substrate Utilization Rate Per Day, measured in Volume cannot be negative.

Which unit is used to measure Volume of Aerator given Specific Substrate Utilization Rate Per Day?

Volume of Aerator given Specific Substrate Utilization Rate Per Day is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of Aerator given Specific Substrate Utilization Rate Per Day can be measured.

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Volume of Aerator given Specific Substrate Utilization Rate Per Day Formula

Volume of Aerator given Specific Substrate Utilization Rate Per Day Example

Volume of Aerator given Specific Substrate Utilization Rate Per Day Solution

Volume of Aerator given Specific Substrate Utilization Rate Per Day Formula Elements

Other formulas in Volume of Aerator category

How to Evaluate Volume of Aerator given Specific Substrate Utilization Rate Per Day?

FAQs on Volume of Aerator given Specific Substrate Utilization Rate Per Day

Variable Name