Distribution Coefficient of Solute from Mass Fractions Calculator

✖The Mass Fraction of Solute in the Extract Phase is the mass fraction of the solute in the extract phase after separation of the ternary mixture.ⓘ Mass Fraction of Solute in the Extract [y_C]			+10% -10%
✖The Mass Fraction of Solute in the Raffinate Phase is the mass fraction of the solute in the raffinate phase after separation of the ternary mixture.ⓘ Mass Fraction of Solute in the Raffinate [x_C]			+10% -10%

✖The distribution coefficient of solute is defined as the concentration of solute in the extract phase divided by the concentration of solute in the raffinate phase.ⓘ Distribution Coefficient of Solute from Mass Fractions [K_Solute]

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Formula

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Distribution Coefficient of Solute from Mass Fractions

Formula

`"K"_{"Solute"} = "y"_{"C"}/"x"_{"C"}`

Example

`"2.723816"="0.3797"/"0.1394"`

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Distribution Coefficient of Solute from Mass Fractions Solution

STEP 0: Pre-Calculation Summary

Formula Used

Distribution Coefficient of Solute = Mass Fraction of Solute in the Extract/Mass Fraction of Solute in the Raffinate
K_Solute = y_C/x_C
This formula uses 3 Variables

Variables Used

Distribution Coefficient of Solute - The distribution coefficient of solute is defined as the concentration of solute in the extract phase divided by the concentration of solute in the raffinate phase.
Mass Fraction of Solute in the Extract - The Mass Fraction of Solute in the Extract Phase is the mass fraction of the solute in the extract phase after separation of the ternary mixture.
Mass Fraction of Solute in the Raffinate - The Mass Fraction of Solute in the Raffinate Phase is the mass fraction of the solute in the raffinate phase after separation of the ternary mixture.

STEP 1: Convert Input(s) to Base Unit

Mass Fraction of Solute in the Extract: 0.3797 --> No Conversion Required
Mass Fraction of Solute in the Raffinate: 0.1394 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_Solute = y_C/x_C --> 0.3797/0.1394

Evaluating ... ...

K_Solute = 2.72381635581062

STEP 3: Convert Result to Output's Unit

2.72381635581062 --> No Conversion Required

FINAL ANSWER

2.72381635581062 ≈ 2.723816 <-- Distribution Coefficient of Solute

(Calculation completed in 00.004 seconds)

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Home » Engineering » Chemical Engineering » Mass Transfer Operations » Liquid-Liquid Extraction » Distribution Coefficient, Selectivity & Mass Ratio » Distribution Coefficient of Solute from Mass Fractions

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Created by Vaibhav Mishra

DJ Sanghvi College of Engineering (DJSCE), Mumbai

Vaibhav Mishra has created this Calculator and 300+ more calculators!

Verified by Prerana Bakli

University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

Prerana Bakli has verified this Calculator and 1600+ more calculators!

< 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

Selectvity of Solute based on Activity Coefficients

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 Solute from Mass Fractions Formula

Distribution Coefficient of Solute = Mass Fraction of Solute in the Extract/Mass Fraction of Solute in the Raffinate
K_Solute = y_C/x_C

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 Solute from Mass Fractions?

Distribution Coefficient of Solute from Mass Fractions calculator uses Distribution Coefficient of Solute = Mass Fraction of Solute in the Extract/Mass Fraction of Solute in the Raffinate to calculate the Distribution Coefficient of Solute, The Distribution Coefficient of Solute from Mass Fractions of the Solute formula is defined as the ratio of mass fractions of the solute in the extract phase to that in the raffinate phase. Distribution Coefficient of Solute is denoted by K_Solute symbol.

How to calculate Distribution Coefficient of Solute from Mass Fractions using this online calculator? To use this online calculator for Distribution Coefficient of Solute from Mass Fractions, enter Mass Fraction of Solute in the Extract (y_C) & Mass Fraction of Solute in the Raffinate (x_C) and hit the calculate button. Here is how the Distribution Coefficient of Solute from Mass Fractions calculation can be explained with given input values -> 2.723816 = 0.3797/0.1394.

FAQ

What is Distribution Coefficient of Solute from Mass Fractions?

The Distribution Coefficient of Solute from Mass Fractions of the Solute formula is defined as the ratio of mass fractions of the solute in the extract phase to that in the raffinate phase and is represented as K_Solute = y_C/x_C or Distribution Coefficient of Solute = Mass Fraction of Solute in the Extract/Mass Fraction of Solute in the Raffinate. The Mass Fraction of Solute in the Extract Phase is the mass fraction of the solute in the extract phase after separation of the ternary mixture & The Mass Fraction of Solute in the Raffinate Phase is the mass fraction of the solute in the raffinate phase after separation of the ternary mixture.

How to calculate Distribution Coefficient of Solute from Mass Fractions?

The Distribution Coefficient of Solute from Mass Fractions of the Solute formula is defined as the ratio of mass fractions of the solute in the extract phase to that in the raffinate phase is calculated using Distribution Coefficient of Solute = Mass Fraction of Solute in the Extract/Mass Fraction of Solute in the Raffinate. To calculate Distribution Coefficient of Solute from Mass Fractions, you need Mass Fraction of Solute in the Extract (y_C) & Mass Fraction of Solute in the Raffinate (x_C). With our tool, you need to enter the respective value for Mass Fraction of Solute in the Extract & Mass Fraction of Solute in the Raffinate 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 Solute?

In this formula, Distribution Coefficient of Solute uses Mass Fraction of Solute in the Extract & Mass Fraction of Solute in the Raffinate. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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