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Initial Efficiency given Final Efficiency after Two Stage Filtration Formula

GoEfficiency of Single Stage High Rate Trickling Filter Formula

GoEfficiency of Single Stage High Rate Trickling Filter given Unit Organic Loading Formula

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Efficiency of first filter stage calculates the efficiency of the filter at the first stage. Check FAQs

E 1 = (1 - \frac{0.0044 \cdot \sqrt{\frac{Y'}{V T \cdot F}}}{(\frac{100}{E 2}) - 1}) \cdot 100

E₁ - Efficiency of First Filter Stage?Y_' - BOD in Effluent?V_T - Volume?F - Recirculation Factor?E₂ - Efficiency of Second Filter Stage?

Initial Efficiency given Final Efficiency after Two Stage Filtration Example

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Here is how the Initial Efficiency given Final Efficiency after Two Stage Filtration equation looks like with Values.

Here is how the Initial Efficiency given Final Efficiency after Two Stage Filtration equation looks like with Units.

Here is how the Initial Efficiency given Final Efficiency after Two Stage Filtration equation looks like.

99.6939 = (1 - \frac{0.0044 \cdot \sqrt{\frac{3}{0.63 \cdot 1.116}}}{(\frac{100}{99}) - 1}) \cdot 100

99.6939 = (1 - \frac{0.0044 \cdot \sqrt{\frac{3kg/d}{0.63m³ \cdot 1.116}}}{(\frac{100}{99}) - 1}) \cdot 100

99.6939 = (1 - \frac{0.0044 \cdot \sqrt{\frac{3}{0.63 \cdot 1.116}}}{(\frac{100}{99}) - 1}) \cdot 100

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Initial Efficiency given Final Efficiency after Two Stage Filtration Solution

Follow our step by step solution on how to calculate Initial Efficiency given Final Efficiency after Two Stage Filtration?

FIRST Step Consider the formula

E 1 = (1 - \frac{0.0044 \cdot \sqrt{\frac{Y'}{V T \cdot F}}}{(\frac{100}{E 2}) - 1}) \cdot 100

Next Step Substitute values of Variables

∴

E 1 = (1 - \frac{0.0044 \cdot \sqrt{\frac{3kg/d}{0.63m³ \cdot 1.116}}}{(\frac{100}{99}) - 1}) \cdot 100

Next Step Convert Units

∴

E 1 = (1 - \frac{0.0044 \cdot \sqrt{\frac{3.5E-5kg/s}{0.63m³ \cdot 1.116}}}{(\frac{100}{99}) - 1}) \cdot 100

Next Step Prepare to Evaluate

∴

E 1 = (1 - \frac{0.0044 \cdot \sqrt{\frac{3.5E-5}{0.63 \cdot 1.116}}}{(\frac{100}{99}) - 1}) \cdot 100

Next Step Evaluate

∴

E 1 = 99.6938817265542

LAST Step Rounding Answer

∴

E 1 = 99.6939

Initial Efficiency given Final Efficiency after Two Stage Filtration Formula Elements

Variables

Functions

Efficiency of First Filter Stage

Efficiency of first filter stage calculates the efficiency of the filter at the first stage.

Symbol: E₁

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Efficiency of First Filter Stage

BOD in Effluent

BOD in Effluent means total BOD in effluent from 1st stage.

Symbol: Y_'

Measurement: Mass Flow RateUnit: kg/d

Note: Value should be greater than 0.

Formulas to find BOD in Effluent

Volume

Volume is the three-dimensional space occupied by a substance or object, such as water, soil, air, or any environmental medium.

Symbol: V_T

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume

Recirculation Factor

Recirculation factor r represents the average number of passes of the influent organic matter through the trickling filter.

Symbol: F

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Recirculation Factor

Efficiency of Second Filter Stage

Efficiency of second filter stage is the total efficiency obtained from the second trickling filter.

Symbol: E₂

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Efficiency of Second Filter Stage

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.

Syntax: sqrt(Number)

Other Formulas to find Efficiency of First Filter Stage

Go Efficiency of Single Stage High Rate Trickling Filter

E 1 = (\frac{100}{1 + 0.0044 \cdot \sqrt{\frac{Y}{V T \cdot F}}})

Go Efficiency of Single Stage High Rate Trickling Filter given Unit Organic Loading

E 1 = (\frac{100}{1 + 0.0044 \cdot \sqrt{V L}})

Other formulas in Efficiency of High Rate Filters category

Go Recirculation Factor given Recirculation Ratio

F = \frac{1 + α}{{(1 + 0.1 \cdot α)}^{2}}

Go Recirculation Factor given Volume of Raw Sewage

F = \frac{1 + (\frac{R}{I})}{{(1 + 0.1 \cdot (\frac{R}{I}))}^{2}}

Go Recirculation Ratio given Volume of Raw Sewage

α = \frac{R}{I}

Go Volume of Raw Sewage given Recirculation Ratio

I = \frac{R}{α}

How to Evaluate Initial Efficiency given Final Efficiency after Two Stage Filtration?

Initial Efficiency given Final Efficiency after Two Stage Filtration evaluator uses Efficiency of First Filter Stage = (1-(0.0044*sqrt(BOD in Effluent/(Volume*Recirculation Factor)))/((100/Efficiency of Second Filter Stage)-1))*100 to evaluate the Efficiency of First Filter Stage, The Initial Efficiency given Final Efficiency after Two Stage Filtration formula is defined as the effectiveness of a filtration system (or a stage of filtration) in removing contaminants from a water sample at the beginning of its operation. This value is typically expressed as a percentage and indicates how well the system performs initially. Efficiency of First Filter Stage is denoted by E₁ symbol.

How to evaluate Initial Efficiency given Final Efficiency after Two Stage Filtration using this online evaluator? To use this online evaluator for Initial Efficiency given Final Efficiency after Two Stage Filtration, enter BOD in Effluent (Y_'), Volume (V_T), Recirculation Factor (F) & Efficiency of Second Filter Stage (E₂) and hit the calculate button.

FAQs on Initial Efficiency given Final Efficiency after Two Stage Filtration

What is the formula to find Initial Efficiency given Final Efficiency after Two Stage Filtration?

The formula of Initial Efficiency given Final Efficiency after Two Stage Filtration is expressed as Efficiency of First Filter Stage = (1-(0.0044*sqrt(BOD in Effluent/(Volume*Recirculation Factor)))/((100/Efficiency of Second Filter Stage)-1))*100. Here is an example- 99.70601 = (1-(0.0044*sqrt(3.47222222222222E-05/(0.63*1.116)))/((100/99)-1))*100.

How to calculate Initial Efficiency given Final Efficiency after Two Stage Filtration?

With BOD in Effluent (Y_'), Volume (V_T), Recirculation Factor (F) & Efficiency of Second Filter Stage (E₂) we can find Initial Efficiency given Final Efficiency after Two Stage Filtration using the formula - Efficiency of First Filter Stage = (1-(0.0044*sqrt(BOD in Effluent/(Volume*Recirculation Factor)))/((100/Efficiency of Second Filter Stage)-1))*100. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Efficiency of First Filter Stage?

Here are the different ways to Calculate Efficiency of First Filter Stage-

Efficiency of First Filter Stage=(100/(1+0.0044*sqrt(Total Organic Load/(Volume*Recirculation Factor))))
Efficiency of First Filter Stage=(100/(1+0.0044*sqrt(Organic Loading)))

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Initial Efficiency given Final Efficiency after Two Stage Filtration Formula

​GoEfficiency of Single Stage High Rate Trickling Filter Formula

​GoEfficiency of Single Stage High Rate Trickling Filter given Unit Organic Loading Formula

Initial Efficiency given Final Efficiency after Two Stage Filtration Example

Initial Efficiency given Final Efficiency after Two Stage Filtration Solution

Initial Efficiency given Final Efficiency after Two Stage Filtration Formula Elements

Other Formulas to find Efficiency of First Filter Stage

Other formulas in Efficiency of High Rate Filters category

How to Evaluate Initial Efficiency given Final Efficiency after Two Stage Filtration?

FAQs on Initial Efficiency given Final Efficiency after Two Stage Filtration

Variable Name

GoEfficiency of Single Stage High Rate Trickling Filter Formula

GoEfficiency of Single Stage High Rate Trickling Filter given Unit Organic Loading Formula