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Specific Substrate Utilization Rate Per Day Formula

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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. Check FAQs

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

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

Specific Substrate Utilization Rate Per Day Example

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

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

Here is how the Specific Substrate Utilization Rate Per Day equation looks like.

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

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

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

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Specific Substrate Utilization Rate Per Day Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

U' = \frac{10m³/s \cdot (11.2mg/L - 0.4mg/L)}{9m³ \cdot 1200mg/L}

Next Step Convert Units

∴

U' = \frac{10m³/s \cdot (0.0112kg/m³ - 0.0004kg/m³)}{9m³ \cdot 1.2kg/m³}

Next Step Prepare to Evaluate

∴

U' = \frac{10 \cdot (0.0112 - 0.0004)}{9 \cdot 1.2}

LAST Step Evaluate

∴

U' = 0.01s⁻¹

Specific Substrate Utilization Rate Per Day Formula Elements

Variables

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

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

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

How to Evaluate Specific Substrate Utilization Rate Per Day?

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

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

FAQs on Specific Substrate Utilization Rate Per Day

What is the formula to find Specific Substrate Utilization Rate Per Day?

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

How to calculate Specific Substrate Utilization Rate Per Day?

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

Can the Specific Substrate Utilization Rate Per Day be negative?

No, the Specific Substrate Utilization Rate Per Day, measured in First Order Reaction Rate Constant cannot be negative.

Which unit is used to measure Specific Substrate Utilization Rate Per Day?

Specific Substrate Utilization Rate Per Day is usually measured using the 1 Per Second[s⁻¹] for First Order Reaction Rate Constant. 1 Per Millisecond[s⁻¹], 1 Per Day[s⁻¹], 1 Per Hour[s⁻¹] are the few other units in which Specific Substrate Utilization Rate Per Day can be measured.

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Specific Substrate Utilization Rate Per Day Formula

Specific Substrate Utilization Rate Per Day Example

Specific Substrate Utilization Rate Per Day Solution

Specific Substrate Utilization Rate Per Day Formula Elements

How to Evaluate Specific Substrate Utilization Rate Per Day?

FAQs on Specific Substrate Utilization Rate Per Day

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