Extraction Factor at Feed Point Slope of Equilibrium Curve Calculator

✖The Feed Point Slope of Equilibrium Curve is the slope of the equilibrium curve line at the feed point i.e. the distribution factor of the solute based on feed concentrations.ⓘ Feed Point Slope of Equilibrium Curve [m_F]			+10% -10%
✖The Solute Free Solvent Flowrate in Extraction is the flowrate of the solvent to the liquid-liquid extraction operation for separation of solute.ⓘ Solute Free Solvent Flowrate in Extraction [S']			+10% -10%
✖The Solute Free Feed Flowrate in Extraction is the flowrate of the carrier liquid to the liquid-liquid extraction operation for separation.ⓘ Solute Free Feed Flowrate in Extraction [F']			+10% -10%

✖The Extraction Factor is defined as the ratio of the slope of equilibrium line to the slope of operating line.ⓘ Extraction Factor at Feed Point Slope of Equilibrium Curve [ε]

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Formula

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Extraction Factor at Feed Point Slope of Equilibrium Curve

Formula

`"ε" = "m"_{"F"}*"S'"/"F'"`

Example

`"2.198773"="3.721"*"65kg/s"/"110kg/s"`

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Extraction Factor at Feed Point Slope of Equilibrium Curve Solution

STEP 0: Pre-Calculation Summary

Formula Used

Extraction Factor = Feed Point Slope of Equilibrium Curve*Solute Free Solvent Flowrate in Extraction/Solute Free Feed Flowrate in Extraction
ε = m_F*S'/F'
This formula uses 4 Variables

Variables Used

Extraction Factor - The Extraction Factor is defined as the ratio of the slope of equilibrium line to the slope of operating line.
Feed Point Slope of Equilibrium Curve - The Feed Point Slope of Equilibrium Curve is the slope of the equilibrium curve line at the feed point i.e. the distribution factor of the solute based on feed concentrations.
Solute Free Solvent Flowrate in Extraction - (Measured in Kilogram per Second) - The Solute Free Solvent Flowrate in Extraction is the flowrate of the solvent to the liquid-liquid extraction operation for separation of solute.
Solute Free Feed Flowrate in Extraction - (Measured in Kilogram per Second) - The Solute Free Feed Flowrate in Extraction is the flowrate of the carrier liquid to the liquid-liquid extraction operation for separation.

STEP 1: Convert Input(s) to Base Unit

Feed Point Slope of Equilibrium Curve: 3.721 --> No Conversion Required
Solute Free Solvent Flowrate in Extraction: 65 Kilogram per Second --> 65 Kilogram per Second No Conversion Required
Solute Free Feed Flowrate in Extraction: 110 Kilogram per Second --> 110 Kilogram per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ε = m_F*S'/F' --> 3.721*65/110

Evaluating ... ...

ε = 2.19877272727273

STEP 3: Convert Result to Output's Unit

2.19877272727273 --> No Conversion Required

FINAL ANSWER

2.19877272727273 ≈ 2.198773 <-- Extraction Factor

(Calculation completed in 00.004 seconds)

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< 6 Kremser's Equation for Liquid-Liquid Extraction Calculators

Number of Extraction Stages by Kremser Equation

Go Number of Equilibrium Extraction Stages = (log10(((Mass Fraction of Solute in the Feed-(Mass Fraction of Solute in the Solvent/Distribution Coefficient of Solute))/(((Mass Fraction of Solute in the Raffinate-Mass Fraction of Solute in the Solvent)/Distribution Coefficient of Solute)))*(1-(1/Extraction Factor))+(1/Extraction Factor)))/(log10(Extraction Factor))

Number of Stages for Extraction Factor equal to 1

Go Number of Equilibrium Extraction Stages = ((Mass Fraction of Solute in the Feed-(Mass Fraction of Solute in the Solvent/Distribution Coefficient of Solute))/(Mass Fraction of Solute in the Raffinate-(Mass Fraction of Solute in the Solvent/Distribution Coefficient of Solute)))-1

Extraction Factor based on Raffinate Point Slope

Go Extraction Factor = Raffinate Point Slope of Equilibrium Curve*Solute Free Solvent Flowrate in Extraction/Solute Free Feed Flowrate in Extraction

Extraction Factor at Feed Point Slope of Equilibrium Curve

Go Extraction Factor = Feed Point Slope of Equilibrium Curve*Solute Free Solvent Flowrate in Extraction/Solute Free Feed Flowrate in Extraction

Extraction Factor at Mean Slope of Equilibrium Curve

Go Extraction Factor = Mean Slope of Equilibrium Curve*Solute Free Solvent Flowrate in Extraction/Solute Free Feed Flowrate in Extraction

Geometric Mean of Equilibrium Line Slope

Go Mean Slope of Equilibrium Curve = sqrt(Feed Point Slope of Equilibrium Curve*Raffinate Point Slope of Equilibrium Curve)

< 23 Important Formulas in Liquid-Liquid Extraction Calculators

Number of Extraction Stages by Kremser Equation

Number of Ideal Equilibrium Extraction Stages

Go Number of Equilibrium Extraction Stages = (log10(Mass Fraction of Solute in the Feed/N Stages Mass Fraction of Solute in Raffinate))/(log10(((Distribution Coefficient of Solute*Solute Free Extract Phase Flowrate in LLE)/Solute Free Feed Flowrate in Extraction)+1))

Raffinate Phase Solute Concentration for N Number of Ideal Stage Extraction

Go N Stages Mass Fraction of Solute in Raffinate = ((Solute Free Feed Flowrate in Extraction/(Solute Free Feed Flowrate in Extraction+(Solute Free Extract Phase Flowrate in LLE*Distribution Coefficient of Solute)))^Number of Equilibrium Extraction Stages)*Mass Fraction of Solute in the Feed

Feed Solute Concentration for N-number of Ideal Stage Extraction

Go Mass Fraction of Solute in the Feed = N Stages Mass Fraction of Solute in Raffinate/((Solute Free Feed Flowrate in Extraction/(Solute Free Feed Flowrate in Extraction+(Solute Free Extract Phase Flowrate in LLE*Distribution Coefficient of Solute)))^Number of Equilibrium Extraction Stages)

Number of Stages for Extraction Factor equal to 1

Raffinate Phase Solute Concentration for Single Ideal Stage Extraction

Go Single Stage Mass Fraction of Solute in Raffinate = (Solute Free Feed Flowrate in Extraction/(Solute Free Feed Flowrate in Extraction+(Solute Free Extract Phase Flowrate in LLE*Distribution Coefficient of Solute)))*Mass Fraction of Solute in the Feed

Feed Solute Concentration for Single Ideal Stage Extraction

Go Mass Fraction of Solute in the Feed = Single Stage Mass Fraction of Solute in Raffinate/(Solute Free Feed Flowrate in Extraction/(Solute Free Feed Flowrate in Extraction+(Solute Free Extract Phase Flowrate in LLE*Distribution Coefficient of Solute)))

Recovery of Solute in Liquid-Liquid Extraction

Go Recovery of Solute in Liquid-Liquid Extraction = 1-((Mass Fraction of Solute in the Raffinate*Raffinate Phase Flowrate in LLE)/(Mass Fraction of Solute in the Feed*Feed Flowrate in Liquid-Liquid Extraction))

Selectvity of Solute based on Activity Coefficients

Go Selectivity = (Activity Coefficient of Solute in Raffinate/Activity Coefficient of Solute in Extract)/(Activity Coefficient of Carrier Liq in Raffinate/Activity Coefficient of Carrier Liquid in Extract)

Selectvity of Solute based on Mole Fractions

Go Selectivity = (Mass Fraction of Solute in the Extract/Mass Fraction of Carrier Liquid in the Extract)/(Mass Fraction of Solute in the Raffinate/Mass Fraction of Carrier Liquid in the Raffinate)

Mass Ratio of Solvent in Raffinate Phase

Go Mass Ratio of Solvent in Raffinate Phase = Mass Fraction of Solvent in the Raffinate/(Mass Fraction of Carrier Liquid in the Raffinate+Mass Fraction of Solute in the Raffinate)

Mass Ratio of Solute in Raffinate Phase

Go Mass Ratio of Solute in Raffinate Phase = Mass Fraction of Solute in the Raffinate/(Mass Fraction of Carrier Liquid in the Raffinate+Mass Fraction of Solute in the Raffinate)

Mass Ratio of Solvent in Extract Phase

Go Mass Ratio of Solvent in Extract Phase = Mass Fraction of Solvent in the Extract/(Mass Fraction of Carrier Liquid in the Extract+Mass Fraction of Solute in the Extract)

Mass Ratio of Solute in Extract Phase

Go Mass Ratio of Solute in Extract Phase = Mass Fraction of Solute in the Extract/(Mass Fraction of Carrier Liquid in the Extract+Mass Fraction of Solute in the Extract)

Extraction Factor based on Raffinate Point Slope

Go Extraction Factor = Raffinate Point Slope of Equilibrium Curve*Solute Free Solvent Flowrate in Extraction/Solute Free Feed Flowrate in Extraction

Extraction Factor at Feed Point Slope of Equilibrium Curve

Go Extraction Factor = Feed Point Slope of Equilibrium Curve*Solute Free Solvent Flowrate in Extraction/Solute Free Feed Flowrate in Extraction

Extraction Factor at Mean Slope of Equilibrium Curve

Go Extraction Factor = Mean Slope of Equilibrium Curve*Solute Free Solvent Flowrate in Extraction/Solute Free Feed Flowrate in Extraction

Geometric Mean of Equilibrium Line Slope

Go Mean Slope of Equilibrium Curve = sqrt(Feed Point Slope of Equilibrium Curve*Raffinate Point Slope of Equilibrium Curve)

Distribution Coefficient of Carrier Liquid from Activity Coefficients

Go Distribution Coefficient of Carrier Liquid = Activity Coefficient of Carrier Liq in Raffinate/Activity Coefficient of Carrier Liquid in Extract

Distribution Coefficient of Carrier Liquid from Mass Fraction

Go Distribution Coefficient of Carrier Liquid = Mass Fraction of Carrier Liquid in the Extract/Mass Fraction of Carrier Liquid in the Raffinate

Distribution Coefficient of Solute from Activity Coefficient

Go Distribution Coefficient of Solute = Activity Coefficient of Solute in Raffinate/Activity Coefficient of Solute in Extract

Distribution Coefficient of Solute from Mass Fractions

Go Distribution Coefficient of Solute = Mass Fraction of Solute in the Extract/Mass Fraction of Solute in the Raffinate

Selectivity of Solute based on Distribution Coefficients

Go Selectivity = Distribution Coefficient of Solute/Distribution Coefficient of Carrier Liquid

Extraction Factor at Feed Point Slope of Equilibrium Curve Formula

Extraction Factor = Feed Point Slope of Equilibrium Curve*Solute Free Solvent Flowrate in Extraction/Solute Free Feed Flowrate in Extraction
ε = m_F*S'/F'

What is Extraction Factor?

The Extraction Factor is the ratio of the slopes of operating line of extraction to the equilibrium line. The Extraction Factor calculation is based on the liquid and gas solute free inlet flow rates and the equilibrium line slope. The value of Extraction factor should be above one for separation.

What is Liquid-Liquid Extraction?

Liquid–liquid extraction (LLE), also known as solvent extraction, is a method to separate compounds or metal complexes, based on their relative solubilities in two different immiscible liquids, usually water (polar) and an organic solvent (non-polar). There is a net transfer of one or more species from one liquid into another liquid phase, generally from aqueous to organic. The transfer is driven by chemical potential, i.e. once the transfer is complete, the overall system of chemical components that make up the solutes and the solvents are in a more stable configuration (lower free energy). The solvent that is enriched in solute(s) is called extract. The feed solution that is depleted in solute(s) is called the raffinate.

How to Calculate Extraction Factor at Feed Point Slope of Equilibrium Curve?

Extraction Factor at Feed Point Slope of Equilibrium Curve calculator uses Extraction Factor = Feed Point Slope of Equilibrium Curve*Solute Free Solvent Flowrate in Extraction/Solute Free Feed Flowrate in Extraction to calculate the Extraction Factor, The Extraction Factor at Feed Point Slope of Equilibrium Curve formula is defined as the ratio of slope of equilibrium curve at the feed point into the slope of operating line. It is synonymous with absorption factor in absorption. Extraction Factor is denoted by ε symbol.

How to calculate Extraction Factor at Feed Point Slope of Equilibrium Curve using this online calculator? To use this online calculator for Extraction Factor at Feed Point Slope of Equilibrium Curve, enter Feed Point Slope of Equilibrium Curve (m_F), Solute Free Solvent Flowrate in Extraction (S') & Solute Free Feed Flowrate in Extraction (F') and hit the calculate button. Here is how the Extraction Factor at Feed Point Slope of Equilibrium Curve calculation can be explained with given input values -> 2.198773 = 3.721*65/110.

FAQ

What is Extraction Factor at Feed Point Slope of Equilibrium Curve?

The Extraction Factor at Feed Point Slope of Equilibrium Curve formula is defined as the ratio of slope of equilibrium curve at the feed point into the slope of operating line. It is synonymous with absorption factor in absorption and is represented as ε = m_F*S'/F' or Extraction Factor = Feed Point Slope of Equilibrium Curve*Solute Free Solvent Flowrate in Extraction/Solute Free Feed Flowrate in Extraction. The Feed Point Slope of Equilibrium Curve is the slope of the equilibrium curve line at the feed point i.e. the distribution factor of the solute based on feed concentrations, The Solute Free Solvent Flowrate in Extraction is the flowrate of the solvent to the liquid-liquid extraction operation for separation of solute & The Solute Free Feed Flowrate in Extraction is the flowrate of the carrier liquid to the liquid-liquid extraction operation for separation.

How to calculate Extraction Factor at Feed Point Slope of Equilibrium Curve?

The Extraction Factor at Feed Point Slope of Equilibrium Curve formula is defined as the ratio of slope of equilibrium curve at the feed point into the slope of operating line. It is synonymous with absorption factor in absorption is calculated using Extraction Factor = Feed Point Slope of Equilibrium Curve*Solute Free Solvent Flowrate in Extraction/Solute Free Feed Flowrate in Extraction. To calculate Extraction Factor at Feed Point Slope of Equilibrium Curve, you need Feed Point Slope of Equilibrium Curve (m_F), Solute Free Solvent Flowrate in Extraction (S') & Solute Free Feed Flowrate in Extraction (F'). With our tool, you need to enter the respective value for Feed Point Slope of Equilibrium Curve, Solute Free Solvent Flowrate in Extraction & Solute Free Feed Flowrate in Extraction 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 Extraction Factor?

In this formula, Extraction Factor uses Feed Point Slope of Equilibrium Curve, Solute Free Solvent Flowrate in Extraction & Solute Free Feed Flowrate in Extraction. We can use 4 other way(s) to calculate the same, which is/are as follows -

Extraction Factor = Mean Slope of Equilibrium Curve*Solute Free Solvent Flowrate in Extraction/Solute Free Feed Flowrate in Extraction
Extraction Factor = Raffinate Point Slope of Equilibrium Curve*Solute Free Solvent Flowrate in Extraction/Solute Free Feed Flowrate in Extraction
Extraction Factor = Mean Slope of Equilibrium Curve*Solute Free Solvent Flowrate in Extraction/Solute Free Feed Flowrate in Extraction
Extraction Factor = Raffinate Point Slope of Equilibrium Curve*Solute Free Solvent Flowrate in Extraction/Solute Free Feed Flowrate in Extraction

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