Volume of Aerator given Sludge Age Calculator

✖Sludge Age is the average time for which the particle of suspended solids remains in aeration.ⓘ Sludge Age [θ_c]			+10% -10%
✖Mass of solids leaving the system is calculated in terms of mass per day.ⓘ Mass of solids leaving the system [M^']			+10% -10%
✖MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics).ⓘ MLSS [X]			+10% -10%

✖Volume of tank is defined as the capacity of flocculation and mixing tank.ⓘ Volume of Aerator given Sludge Age [V]

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Formula

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Volume of Aerator given Sludge Age

Formula

`"V" = ("θ"_{"c"}*"M"^{"'"})/"X"`

Example

`"8.333333m³"=("5d"*"2kg/d")/"1200mg/L"`

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Volume of Aerator given Sludge Age Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Tank = (Sludge Age*Mass of solids leaving the system)/MLSS
V = (θ_c*M^')/X
This formula uses 4 Variables

Variables Used

Volume of Tank - (Measured in Cubic Meter) - Volume of tank is defined as the capacity of flocculation and mixing tank.
Sludge Age - (Measured in Second) - Sludge Age is the average time for which the particle of suspended solids remains in aeration.
Mass of solids leaving the system - (Measured in Kilogram per Second) - Mass of solids leaving the system is calculated in terms of mass per day.
MLSS - (Measured in Kilogram per Cubic Meter) - MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics).

STEP 1: Convert Input(s) to Base Unit

Sludge Age: 5 Day --> 432000 Second (Check conversion here)
Mass of solids leaving the system: 2 Kilogram per Day --> 2.31481481481481E-05 Kilogram per Second (Check conversion here)
MLSS: 1200 Milligram per Liter --> 1.2 Kilogram per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = (θ_c*M^')/X --> (432000*2.31481481481481E-05)/1.2

Evaluating ... ...

V = 8.33333333333332

STEP 3: Convert Result to Output's Unit

8.33333333333332 Cubic Meter --> No Conversion Required

FINAL ANSWER

8.33333333333332 ≈ 8.333333 Cubic Meter <-- Volume of Tank

(Calculation completed in 00.004 seconds)

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Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2200+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< 3 Volume of Aerator Calculators

Volume of Aerator given Specific Substrate Utilisation Rate Per Day

Go Volume of Tank = (Sewage Discharge*(Influent BOD-Effluent BOD))/(Specific Substrate Utilisation Rate*MLSS)

Volume of Aerator given Sludge Age

Go Volume of Tank = (Sludge Age*Mass of solids leaving the system)/MLSS

Volume of Tank given Mass of Solids in Reactor

Go Volume of Tank = Mass of Solids/MLSS

Volume of Aerator given Sludge Age Formula

Volume of Tank = (Sludge Age*Mass of solids leaving the system)/MLSS
V = (θ_c*M^')/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 Sludge Age?

Volume of Aerator given Sludge Age calculator uses Volume of Tank = (Sludge Age*Mass of solids leaving the system)/MLSS to calculate the Volume of Tank, Volume of Aerator given Sludge Age calculates volume of aerator when we have prior information of other parameters used. Volume of Tank is denoted by V symbol.

How to calculate Volume of Aerator given Sludge Age using this online calculator? To use this online calculator for Volume of Aerator given Sludge Age, enter Sludge Age (θ_c), Mass of solids leaving the system (M^') & MLSS (X) and hit the calculate button. Here is how the Volume of Aerator given Sludge Age calculation can be explained with given input values -> 8.333333 = (432000*2.31481481481481E-05)/1.2.

FAQ

What is Volume of Aerator given Sludge Age?

Volume of Aerator given Sludge Age calculates volume of aerator when we have prior information of other parameters used and is represented as V = (θ_c*M^')/X or Volume of Tank = (Sludge Age*Mass of solids leaving the system)/MLSS. Sludge Age is the average time for which the particle of suspended solids remains in aeration, Mass of solids leaving the system is calculated in terms of mass per day & MLSS is the sum of volatile suspended solids (organics) and fixed suspended solids (inorganics).

How to calculate Volume of Aerator given Sludge Age?

Volume of Aerator given Sludge Age calculates volume of aerator when we have prior information of other parameters used is calculated using Volume of Tank = (Sludge Age*Mass of solids leaving the system)/MLSS. To calculate Volume of Aerator given Sludge Age, you need Sludge Age (θ_c), Mass of solids leaving the system (M^') & MLSS (X). With our tool, you need to enter the respective value for Sludge Age, Mass of solids leaving the system & MLSS and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Volume of Tank?

In this formula, Volume of Tank uses Sludge Age, Mass of solids leaving the system & MLSS. We can use 2 other way(s) to calculate the same, which is/are as follows -

Volume of Tank = Mass of Solids/MLSS
Volume of Tank = (Sewage Discharge*(Influent BOD-Effluent BOD))/(Specific Substrate Utilisation Rate*MLSS)

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