Volume of Aerator given Specific Substrate Utilization Rate Per Day Calculator

✖Sewage Discharge is the flow rate of sewage when it is being discharged in the river.ⓘ Sewage Discharge [Q_s]			+10% -10%
✖Influent BOD is the total amount of BOD which is present in the incoming sewage.ⓘ Influent BOD [Q_i]			+10% -10%
✖Effluent BOD is the amount of BOD present in the outing sewage.ⓘ Effluent BOD [Q_o]			+10% -10%
✖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.ⓘ Specific Substrate Utilization Rate Per Day [U']			+10% -10%
✖Mixed Liquor Suspended Solids is the concentration of suspended solids in the mixed liquor of an aeration tank during the activated sludge process.ⓘ Mixed Liquor Suspended Solids [X^']			+10% -10%

✖Volume of Tank is defined as the capacity of flocculation and mixing tank.ⓘ Volume of Aerator given Specific Substrate Utilization Rate Per Day [V]

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Formula

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Volume of Aerator given Specific Substrate Utilization Rate Per Day

Formula

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

Example

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

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Volume of Aerator given Specific Substrate Utilization Rate Per Day Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Tank = (Sewage Discharge*(Influent BOD-Effluent BOD))/(Specific Substrate Utilization Rate Per Day*Mixed Liquor Suspended Solids)
V = (Q_s*(Q_i-Q_o))/(U'*X^')
This formula uses 6 Variables

Variables Used

Volume of Tank - (Measured in Cubic Meter) - Volume of Tank is defined as the capacity of flocculation and mixing tank.
Sewage Discharge - (Measured in Cubic Meter per Second) - Sewage Discharge is the flow rate of sewage when it is being discharged in the river.
Influent BOD - (Measured in Kilogram per Cubic Meter) - Influent BOD is the total amount of BOD which is present in the incoming sewage.
Effluent BOD - (Measured in Kilogram per Cubic Meter) - Effluent BOD is the amount of BOD present in the outing sewage.
Specific Substrate Utilization Rate Per Day - (Measured in 1 Per Second) - 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.
Mixed Liquor Suspended Solids - (Measured in Kilogram per Cubic Meter) - Mixed Liquor Suspended Solids is the concentration of suspended solids in the mixed liquor of an aeration tank during the activated sludge process.

STEP 1: Convert Input(s) to Base Unit

Sewage Discharge: 10 Cubic Meter per Second --> 10 Cubic Meter per Second No Conversion Required
Influent BOD: 11.2 Milligram per Liter --> 0.0112 Kilogram per Cubic Meter (Check conversion here)
Effluent BOD: 0.4 Milligram per Liter --> 0.0004 Kilogram per Cubic Meter (Check conversion here)
Specific Substrate Utilization Rate Per Day: 0.01 1 Per Second --> 0.01 1 Per Second No Conversion Required
Mixed Liquor Suspended Solids: 1200 Milligram per Liter --> 1.2 Kilogram per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = (Q_s*(Q_i-Q_o))/(U'*X^') --> (10*(0.0112-0.0004))/(0.01*1.2)

Evaluating ... ...

V = 9

STEP 3: Convert Result to Output's Unit

9 Cubic Meter --> No Conversion Required

FINAL ANSWER

9 Cubic Meter <-- Volume of Tank

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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< Volume of Aerator Calculators

Volume of Aerator given Specific Substrate Utilization Rate Per Day

Go Volume of Tank = (Sewage Discharge*(Influent BOD-Effluent BOD))/(Specific Substrate Utilization Rate Per Day*Mixed Liquor Suspended Solids)

Volume of Aerator given Sludge Age

Go Volume of Aerator = (Sludge Age*Mass of Solids Leaving the System)/Mixed Liquor Suspended Solids

Volume of Tank given Mass of Solids in Reactor

Go Volume of Reactor Tank = Mass of Solids/Mixed Liquor Suspended Solids

Volume of Aerator given Specific Substrate Utilization Rate Per Day Formula

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

What is Aerator?

Aerators are various mechanical devices used for aeration, or mixing air with another substance, such as soil or water. These devices are used to add oxygen to the water.

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

Volume of Aerator given Specific Substrate Utilization Rate Per Day calculator uses Volume of Tank = (Sewage Discharge*(Influent BOD-Effluent BOD))/(Specific Substrate Utilization Rate Per Day*Mixed Liquor Suspended Solids) to calculate 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 calculate Volume of Aerator given Specific Substrate Utilization Rate Per Day using this online calculator? To use this online calculator 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. Here is how the Volume of Aerator given Specific Substrate Utilization Rate Per Day calculation can be explained with given input values -> 9 = (10*(0.0112-0.0004))/(0.01*1.2).

FAQ

What is Volume of Aerator given Specific Substrate Utilization Rate Per Day?

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 and is represented as V = (Q_s*(Q_i-Q_o))/(U'*X^') or Volume of Tank = (Sewage Discharge*(Influent BOD-Effluent BOD))/(Specific Substrate Utilization Rate Per Day*Mixed Liquor Suspended Solids). Sewage Discharge is the flow rate of sewage when it is being discharged in the river, Influent BOD is the total amount of BOD which is present in the incoming sewage, Effluent BOD is the amount of BOD present in the outing sewage, 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 & Mixed Liquor Suspended Solids is the concentration of suspended solids in the mixed liquor of an aeration tank during the activated sludge process.

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

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 is calculated using Volume of Tank = (Sewage Discharge*(Influent BOD-Effluent BOD))/(Specific Substrate Utilization Rate Per Day*Mixed Liquor Suspended Solids). To calculate Volume of Aerator given Specific Substrate Utilization Rate Per Day, you need Sewage Discharge (Q_s), Influent BOD (Q_i), Effluent BOD (Q_o), Specific Substrate Utilization Rate Per Day (U') & Mixed Liquor Suspended Solids (X^'). With our tool, you need to enter the respective value for Sewage Discharge, Influent BOD, Effluent BOD, Specific Substrate Utilization Rate Per Day & Mixed Liquor Suspended Solids and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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