Distribution Coefficient of Carrier Liquid from Activity Coefficients Solution

STEP 0: Pre-Calculation Summary
Formula Used
Distribution Coefficient of Carrier Liquid = Activity Coefficient of Carrier Liq in Raffinate/Activity Coefficient of Carrier Liquid in Extract
KCarrierLiq = ΥaR/ΥaE
This formula uses 3 Variables
Variables Used
Distribution Coefficient of Carrier Liquid - The distribution coefficient of Carrier Liquid is defined as the concentration of carrier liquid in the extract phase divided by the concentration of carrier liquid in the raffinate phase.
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 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
KCarrierLiq = ΥaR/ΥaE --> 1.8/1.2
Evaluating ... ...
KCarrierLiq = 1.5
STEP 3: Convert Result to Output's Unit
1.5 --> No Conversion Required
FINAL ANSWER
1.5 <-- Distribution Coefficient of Carrier Liquid
(Calculation completed in 00.004 seconds)

Credits

Created by Vaibhav Mishra
DJ Sanghvi College of Engineering (DJSCE), Mumbai
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12 Distribution Coefficient, Selectivity & Mass Ratio Calculators

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)
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

23 Important Formulas in 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 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
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
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

Distribution Coefficient of Carrier Liquid from Activity Coefficients Formula

Distribution Coefficient of Carrier Liquid = Activity Coefficient of Carrier Liq in Raffinate/Activity Coefficient of Carrier Liquid in Extract
KCarrierLiq = ΥaR/ΥaE

What is Distribution Coefficient?

When a solution is placed in a separatory funnel and shaken with an immiscible solvent, solutes often dissolve in part into both layers. The components are said to "partition" between the two layers, or "distribute themselves" between the two layers. When equilibrium has been established, the ratio of the concentration of solute in each layer is constant for each system, and this can be represented by a value K (called the partition coefficient or distribution coefficient). This is an equilibrium process (dissolution equilibrium) governed by the temperature of the system.

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 Distribution Coefficient of Carrier Liquid from Activity Coefficients?

Distribution Coefficient of Carrier Liquid from Activity Coefficients calculator uses Distribution Coefficient of Carrier Liquid = Activity Coefficient of Carrier Liq in Raffinate/Activity Coefficient of Carrier Liquid in Extract to calculate the Distribution Coefficient of Carrier Liquid, The Distribution Coefficient of Carrier Liquid from Activity Coefficients formula is defined as the ratio of activity coefficients of the carrier liquid in the raffinate phase to that in the extract phase. Distribution Coefficient of Carrier Liquid is denoted by KCarrierLiq symbol.

How to calculate Distribution Coefficient of Carrier Liquid from Activity Coefficients using this online calculator? To use this online calculator for Distribution Coefficient of Carrier Liquid from Activity Coefficients, enter 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 Distribution Coefficient of Carrier Liquid from Activity Coefficients calculation can be explained with given input values -> 1.5 = 1.8/1.2.

FAQ

What is Distribution Coefficient of Carrier Liquid from Activity Coefficients?
The Distribution Coefficient of Carrier Liquid from Activity Coefficients formula is defined as the ratio of activity coefficients of the carrier liquid in the raffinate phase to that in the extract phase and is represented as KCarrierLiq = ΥaR/ΥaE or Distribution Coefficient of Carrier Liquid = Activity Coefficient of Carrier Liq in Raffinate/Activity Coefficient of Carrier Liquid in 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 Distribution Coefficient of Carrier Liquid from Activity Coefficients?
The Distribution Coefficient of Carrier Liquid from Activity Coefficients formula is defined as the ratio of activity coefficients of the carrier liquid in the raffinate phase to that in the extract phase is calculated using Distribution Coefficient of Carrier Liquid = Activity Coefficient of Carrier Liq in Raffinate/Activity Coefficient of Carrier Liquid in Extract. To calculate Distribution Coefficient of Carrier Liquid from Activity Coefficients, you need 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 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 Distribution Coefficient of Carrier Liquid?
In this formula, Distribution Coefficient of Carrier Liquid uses Activity Coefficient of Carrier Liq in Raffinate & Activity Coefficient of Carrier Liquid in Extract. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Distribution Coefficient of Carrier Liquid = Mass Fraction of Carrier Liquid in the Extract/Mass Fraction of Carrier Liquid in the Raffinate
  • Distribution Coefficient of Carrier Liquid = Mass Fraction of Carrier Liquid in the Extract/Mass Fraction of Carrier Liquid in the Raffinate
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