Selectvity of Solute based on Activity Coefficients Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
βC, A = (ΥcR/ΥcE)/(ΥaR/ΥaE)
This formula uses 5 Variables
Variables Used
Selectivity - The Selectivity or Separation Factor is defined as the preferential uptake of the solute by the solvent over the carrier.
Activity Coefficient of Solute in Raffinate - The Activity Coefficient of Solute in Raffinate is defined as the ratio of the chemical activity of the solute to its molar concentration in the Raffinate.
Activity Coefficient of Solute in Extract - The Activity Coefficient of Solute in Extract is defined as the ratio of the chemical activity of the solute to its molar concentration in the Extract.
Activity Coefficient of Carrier Liq in Raffinate - The Activity Coefficient of Carrier Liq in Raffinate is defined as the ratio of the chemical activity of the Carrier Liquid to its molar concentration in the Raffinate.
Activity Coefficient of Carrier Liquid in Extract - The Activity Coefficient of Carrier Liquid in Extract is defined as the ratio of the chemical activity of the Carrier Liquid to its molar concentration in the Extract.
STEP 1: Convert Input(s) to Base Unit
Activity Coefficient of Solute in Raffinate: 4.16 --> No Conversion Required
Activity Coefficient of Solute in Extract: 1.6 --> No Conversion Required
Activity Coefficient of Carrier Liq in Raffinate: 1.8 --> No Conversion Required
Activity Coefficient of Carrier Liquid in Extract: 1.2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
βC, A = (ΥcR/ΥcE)/(ΥaR/ΥaE) --> (4.16/1.6)/(1.8/1.2)
Evaluating ... ...
βC, A = 1.73333333333333
STEP 3: Convert Result to Output's Unit
1.73333333333333 --> No Conversion Required
FINAL ANSWER
1.73333333333333 1.733333 <-- Selectivity
(Calculation completed in 00.004 seconds)

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Distribution Coefficient, Selectivity and Mass Ratio Calculators

Mass Ratio of Solvent in Raffinate Phase
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ 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)

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

Selectvity of Solute based on Activity Coefficients Formula

​LaTeX ​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)
βC, A = (ΥcR/ΥcE)/(ΥaR/ΥaE)

What is Selectivity or Separation Factor?

The effectiveness of solvent B for separating a solution of A and C into its components measured by comparing the ratio of C to A in the B rich phase to that in the C rich phase at equilibrium and is called selectivity or separation factor. This is also analogous to relative volatility in distillation. Selectivity of the solute varies with the compositions of the two phases in equilibrium and depends upon temperature. It is unit at the Plait point at the compositions of the two phases becomes the same. It is preferable to use a solvent with selectivity higher than unity, though in some systems it varies from higher values to unity to fractional values. These systems are analogous to azeotropes.

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 Selectvity of Solute based on Activity Coefficients?

Selectvity of Solute based on Activity Coefficients calculator uses 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) to calculate the Selectivity, The Selectvity of Solute based on Activity Coefficients formula is defined as the ratio of activity coefficiens of solute in raffinate to carrier liquid raffinate to that of the solute in extract to carrier liquid in extract. Selectivity is denoted by βC, A symbol.

How to calculate Selectvity of Solute based on Activity Coefficients using this online calculator? To use this online calculator for Selectvity of Solute based on Activity Coefficients, enter Activity Coefficient of Solute in Raffinate (ΥcR), Activity Coefficient of Solute in Extract (ΥcE), Activity Coefficient of Carrier Liq in Raffinate (ΥaR) & Activity Coefficient of Carrier Liquid in Extract (ΥaE) and hit the calculate button. Here is how the Selectvity of Solute based on Activity Coefficients calculation can be explained with given input values -> 1.733333 = (4.16/1.6)/(1.8/1.2).

FAQ

What is Selectvity of Solute based on Activity Coefficients?
The Selectvity of Solute based on Activity Coefficients formula is defined as the ratio of activity coefficiens of solute in raffinate to carrier liquid raffinate to that of the solute in extract to carrier liquid in extract and is represented as βC, A = (ΥcR/ΥcE)/(ΥaR/ΥaE) or 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). The Activity Coefficient of Solute in Raffinate is defined as the ratio of the chemical activity of the solute to its molar concentration in the Raffinate, The Activity Coefficient of Solute in Extract is defined as the ratio of the chemical activity of the solute to its molar concentration in the Extract, The Activity Coefficient of Carrier Liq in Raffinate is defined as the ratio of the chemical activity of the Carrier Liquid to its molar concentration in the Raffinate & The Activity Coefficient of Carrier Liquid in Extract is defined as the ratio of the chemical activity of the Carrier Liquid to its molar concentration in the Extract.
How to calculate Selectvity of Solute based on Activity Coefficients?
The Selectvity of Solute based on Activity Coefficients formula is defined as the ratio of activity coefficiens of solute in raffinate to carrier liquid raffinate to that of the solute in extract to carrier liquid in extract is calculated using 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). To calculate Selectvity of Solute based on Activity Coefficients, you need Activity Coefficient of Solute in Raffinate (ΥcR), Activity Coefficient of Solute in Extract (ΥcE), Activity Coefficient of Carrier Liq in Raffinate (ΥaR) & Activity Coefficient of Carrier Liquid in Extract (ΥaE). With our tool, you need to enter the respective value for 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 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 Selectivity?
In this formula, Selectivity uses 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. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • 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)
  • Selectivity = Distribution Coefficient of Solute/Distribution Coefficient of Carrier Liquid
  • Selectivity = Distribution Coefficient of Solute/Distribution Coefficient of Carrier Liquid
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