Efficiency of First Filter Stage Calculator

✖BOD loading to filter 2 is the total BOD present in the incoming sewage in filter 2.ⓘ BOD Loading to Filter 2 [W^']			+10% -10%
✖Volume is the amount of space that a substance or object occupies or that is enclosed within a container.ⓘ Volume [V_T]			+10% -10%
✖Recirculation factor r represents the average number of passes of the influent organic matter through the trickling filter.ⓘ Recirculation factor [F]			+10% -10%

✖Efficiency of first filter stage calculates the efficiency of the filter at the first stage.ⓘ Efficiency of First Filter Stage [E₁]

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Formula

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Efficiency of First Filter Stage

Formula

`"E"_{"1"} = 100/(1+(0.0561*sqrt("W"^{"'"}/("V"_{"T"}*"F"))))`

Example

`"99.94735"=100/(1+(0.0561*sqrt("2.4kg/d"/("0.63m³"*"0.5"))))`

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Efficiency of First Filter Stage Solution

STEP 0: Pre-Calculation Summary

Formula Used

Efficiency of First Filter Stage = 100/(1+(0.0561*sqrt(BOD Loading to Filter 2/(Volume*Recirculation factor))))
E₁ = 100/(1+(0.0561*sqrt(W^'/(V_T*F))))
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Efficiency of First Filter Stage - Efficiency of first filter stage calculates the efficiency of the filter at the first stage.
BOD Loading to Filter 2 - (Measured in Kilogram per Second) - BOD loading to filter 2 is the total BOD present in the incoming sewage in filter 2.
Volume - (Measured in Cubic Meter) - Volume is the amount of space that a substance or object occupies or that is enclosed within a container.
Recirculation factor - Recirculation factor r represents the average number of passes of the influent organic matter through the trickling filter.

STEP 1: Convert Input(s) to Base Unit

BOD Loading to Filter 2: 2.4 Kilogram per Day --> 2.77777777777778E-05 Kilogram per Second (Check conversion here)
Volume: 0.63 Cubic Meter --> 0.63 Cubic Meter No Conversion Required
Recirculation factor: 0.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E₁ = 100/(1+(0.0561*sqrt(W^'/(V_T*F)))) --> 100/(1+(0.0561*sqrt(2.77777777777778E-05/(0.63*0.5))))

Evaluating ... ...

E₁ = 99.9473464566835

STEP 3: Convert Result to Output's Unit

99.9473464566835 --> No Conversion Required

FINAL ANSWER

99.9473464566835 ≈ 99.94735 <-- Efficiency of First Filter Stage

(Calculation completed in 00.004 seconds)

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Credits

Created by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has created this Calculator and 500+ more calculators!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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< 7 Efficiency of Filter Calculators

Efficiency of Second Filter Stage

Go Efficiency of Second Filter Stage = 100/(1+((0.0561/(1-Efficiency of First Filter Stage))*sqrt(BOD Loading to Filter 2/(Volume*Recirculation factor))))

Efficiency of First Filter Stage using Efficiency of Second Filter Stage

Go Efficiency of First Filter Stage = 1+((0.0561/(100/Efficiency of Second Filter Stage)-1)*sqrt(BOD Loading to Filter 2/(Volume*Recirculation factor)))

Efficiency of First Filter Stage

Go Efficiency of First Filter Stage = 100/(1+(0.0561*sqrt(BOD Loading to Filter 2/(Volume*Recirculation factor))))

Efficiency of First Filter Stage given Overall Efficiency

Go Efficiency of First Filter Stage = (Overall efficiency TF-Efficiency of Second Filter Stage)/(1-Efficiency of Second Filter Stage)

Efficiency of Second Filter Stage given Overall Efficiency

Go Efficiency of Second Filter Stage = (Overall efficiency TF-Efficiency of First Filter Stage)/(1-Efficiency of First Filter Stage)

Efficiency of First Filter given BOD Loading for Second Filter

Go Efficiency of First Filter Stage = 1-(BOD5 loading to the second stage filter/BOD Loading to Filter 2)

Overall Efficiency of Two Stage Trickling Filter

Go Overall efficiency TF = (Influent BOD-Effluent BOD/Influent BOD)*100

Efficiency of First Filter Stage Formula

Efficiency of First Filter Stage = 100/(1+(0.0561*sqrt(BOD Loading to Filter 2/(Volume*Recirculation factor))))
E₁ = 100/(1+(0.0561*sqrt(W^'/(V_T*F))))

What is filter stage?

Single-stage unit consists of a primary settling tank, filter, secondary settling tank, and facilities for recirculation of the effluent. Two-stage filters consist of two filters in series with a primary settling tank, an intermediate settling tank which may be omitted in certain cases, and a final settling tank.

How to Calculate Efficiency of First Filter Stage?

Efficiency of First Filter Stage calculator uses Efficiency of First Filter Stage = 100/(1+(0.0561*sqrt(BOD Loading to Filter 2/(Volume*Recirculation factor)))) to calculate the Efficiency of First Filter Stage, The Efficiency of first filter stage is the total BOD removal efficiency of the first stage trickling filter. Efficiency of First Filter Stage is denoted by E₁ symbol.

How to calculate Efficiency of First Filter Stage using this online calculator? To use this online calculator for Efficiency of First Filter Stage, enter BOD Loading to Filter 2 (W^'), Volume (V_T) & Recirculation factor (F) and hit the calculate button. Here is how the Efficiency of First Filter Stage calculation can be explained with given input values -> 99.94735 = 100/(1+(0.0561*sqrt(2.77777777777778E-05/(0.63*0.5)))).

FAQ

What is Efficiency of First Filter Stage?

The Efficiency of first filter stage is the total BOD removal efficiency of the first stage trickling filter and is represented as E₁ = 100/(1+(0.0561*sqrt(W^'/(V_T*F)))) or Efficiency of First Filter Stage = 100/(1+(0.0561*sqrt(BOD Loading to Filter 2/(Volume*Recirculation factor)))). BOD loading to filter 2 is the total BOD present in the incoming sewage in filter 2, Volume is the amount of space that a substance or object occupies or that is enclosed within a container & Recirculation factor r represents the average number of passes of the influent organic matter through the trickling filter.

How to calculate Efficiency of First Filter Stage?

The Efficiency of first filter stage is the total BOD removal efficiency of the first stage trickling filter is calculated using Efficiency of First Filter Stage = 100/(1+(0.0561*sqrt(BOD Loading to Filter 2/(Volume*Recirculation factor)))). To calculate Efficiency of First Filter Stage, you need BOD Loading to Filter 2 (W^'), Volume (V_T) & Recirculation factor (F). With our tool, you need to enter the respective value for BOD Loading to Filter 2, Volume & Recirculation factor 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 Efficiency of First Filter Stage?

In this formula, Efficiency of First Filter Stage uses BOD Loading to Filter 2, Volume & Recirculation factor. We can use 3 other way(s) to calculate the same, which is/are as follows -

Efficiency of First Filter Stage = (Overall efficiency TF-Efficiency of Second Filter Stage)/(1-Efficiency of Second Filter Stage)
Efficiency of First Filter Stage = 1-(BOD5 loading to the second stage filter/BOD Loading to Filter 2)
Efficiency of First Filter Stage = 1+((0.0561/(100/Efficiency of Second Filter Stage)-1)*sqrt(BOD Loading to Filter 2/(Volume*Recirculation factor)))

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