Extraction Factor based on Raffinate Point Slope Calculator

✖The Raffinate Point Slope of Equilibrium Curve is the slope of the equilibrium curve line at the raffinate point i.e. the distribution factor of the solute based on raffinate concentration.ⓘ Raffinate Point Slope of Equilibrium Curve [m_R]			+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 based on Raffinate Point Slope [ε]

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Extraction Factor based on Raffinate Point Slope Solution

STEP 0: Pre-Calculation Summary

Formula Used

Extraction Factor = Raffinate Point Slope of Equilibrium Curve*Solute Free Solvent Flowrate in Extraction/Solute Free Feed Flowrate in Extraction
ε = m_R*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.
Raffinate Point Slope of Equilibrium Curve - The Raffinate Point Slope of Equilibrium Curve is the slope of the equilibrium curve line at the raffinate point i.e. the distribution factor of the solute based on raffinate concentration.
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

Raffinate Point Slope of Equilibrium Curve: 3.723 --> 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_R*S'/F' --> 3.723*65/110

Evaluating ... ...

ε = 2.19995454545455

STEP 3: Convert Result to Output's Unit

2.19995454545455 --> No Conversion Required

FINAL ANSWER

2.19995454545455 ≈ 2.199955 <-- Extraction Factor

(Calculation completed in 00.020 seconds)

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< Kremser's Equation for Liquid Liquid Extraction Calculators

Number of Extraction Stages by Kremser Equation

LaTeX 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

LaTeX 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 at Mean Slope of Equilibrium Curve

LaTeX 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

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

< Important Formulas in Liquid Liquid Extraction Calculators

Distribution Coefficient of Carrier Liquid from Activity Coefficients

LaTeX 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

LaTeX 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

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

Distribution Coefficient of Solute from Mass Fractions

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

Extraction Factor based on Raffinate Point Slope Formula

LaTeX Go

Extraction Factor = Raffinate Point Slope of Equilibrium Curve*Solute Free Solvent Flowrate in Extraction/Solute Free Feed Flowrate in Extraction
ε = m_R*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 based on Raffinate Point Slope?

Extraction Factor based on Raffinate Point Slope calculator uses Extraction Factor = Raffinate 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 based on Raffinate Point Slope 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 based on Raffinate Point Slope using this online calculator? To use this online calculator for Extraction Factor based on Raffinate Point Slope, enter Raffinate Point Slope of Equilibrium Curve (m_R), 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 based on Raffinate Point Slope calculation can be explained with given input values -> 2.199955 = 3.723*65/110.

FAQ

What is Extraction Factor based on Raffinate Point Slope?

The Extraction Factor based on Raffinate Point Slope 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_R*S'/F' or Extraction Factor = Raffinate Point Slope of Equilibrium Curve*Solute Free Solvent Flowrate in Extraction/Solute Free Feed Flowrate in Extraction. The Raffinate Point Slope of Equilibrium Curve is the slope of the equilibrium curve line at the raffinate point i.e. the distribution factor of the solute based on raffinate concentration, 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 based on Raffinate Point Slope?

The Extraction Factor based on Raffinate Point Slope 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 = Raffinate Point Slope of Equilibrium Curve*Solute Free Solvent Flowrate in Extraction/Solute Free Feed Flowrate in Extraction. To calculate Extraction Factor based on Raffinate Point Slope, you need Raffinate Point Slope of Equilibrium Curve (m_R), 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 Raffinate 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 Raffinate Point Slope of Equilibrium Curve, Solute Free Solvent Flowrate in Extraction & Solute Free Feed Flowrate in Extraction. We can use 3 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 = Feed Point Slope of Equilibrium Curve*Solute Free Solvent Flowrate in Extraction/Solute Free Feed Flowrate in Extraction
Extraction Factor = Feed Point Slope of Equilibrium Curve*Solute Free Solvent Flowrate in Extraction/Solute Free Feed Flowrate in Extraction

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