Recovery of Solute in Liquid-Liquid Extraction Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
Rsolute = 1-((xC*R)/(zC*F))
This formula uses 5 Variables
Variables Used
Recovery of Solute in Liquid-Liquid Extraction - The Recovery of Solute in Liquid-Liquid Extraction is the fraction of solute recovered in the liquid-liquid extraction process.
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.
Raffinate Phase Flowrate in LLE - (Measured in Mole per Second) - The Raffinate Phase Flowrate in LLE is the flowrate of the raffinate phase after separation in liquid liquid extraction operation.
Mass Fraction of Solute in the Feed - The Mass Fraction of Solute in the Feed is the mass fraction of the solute in the Feed to the Liquid-Liquid Extraction operation.
Feed Flowrate in Liquid-Liquid Extraction - (Measured in Mole per Second) - The Feed Flowrate in Liquid-Liquid Extraction is the flowrate of the feed to the liquid liquid extraction operation for separation.
STEP 1: Convert Input(s) to Base Unit
Mass Fraction of Solute in the Raffinate: 0.1394 --> No Conversion Required
Raffinate Phase Flowrate in LLE: 40 Mole per Second --> 40 Mole per Second No Conversion Required
Mass Fraction of Solute in the Feed: 0.5 --> No Conversion Required
Feed Flowrate in Liquid-Liquid Extraction: 100 Mole per Second --> 100 Mole per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Rsolute = 1-((xC*R)/(zC*F)) --> 1-((0.1394*40)/(0.5*100))
Evaluating ... ...
Rsolute = 0.88848
STEP 3: Convert Result to Output's Unit
0.88848 --> No Conversion Required
FINAL ANSWER
0.88848 <-- Recovery of Solute in Liquid-Liquid Extraction
(Calculation completed in 00.020 seconds)

Credits

Created by Vaibhav Mishra
DJ Sanghvi College of Engineering (DJSCE), Mumbai
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University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
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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

Recovery of Solute in Liquid-Liquid Extraction Formula

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))
Rsolute = 1-((xC*R)/(zC*F))

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 Recovery of Solute in Liquid-Liquid Extraction?

Recovery of Solute in Liquid-Liquid Extraction calculator uses 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)) to calculate the Recovery of Solute in Liquid-Liquid Extraction, The Recovery of Solute in Liquid-Liquid Extraction formula is defined as ratio of solute in the extract phase to that in the feed. Recovery of Solute in Liquid-Liquid Extraction is denoted by Rsolute symbol.

How to calculate Recovery of Solute in Liquid-Liquid Extraction using this online calculator? To use this online calculator for Recovery of Solute in Liquid-Liquid Extraction, enter Mass Fraction of Solute in the Raffinate (xC), Raffinate Phase Flowrate in LLE (R), Mass Fraction of Solute in the Feed (zC) & Feed Flowrate in Liquid-Liquid Extraction (F) and hit the calculate button. Here is how the Recovery of Solute in Liquid-Liquid Extraction calculation can be explained with given input values -> 0.88848 = 1-((0.1394*40)/(0.5*100)).

FAQ

What is Recovery of Solute in Liquid-Liquid Extraction?
The Recovery of Solute in Liquid-Liquid Extraction formula is defined as ratio of solute in the extract phase to that in the feed and is represented as Rsolute = 1-((xC*R)/(zC*F)) or 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)). 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, The Raffinate Phase Flowrate in LLE is the flowrate of the raffinate phase after separation in liquid liquid extraction operation, The Mass Fraction of Solute in the Feed is the mass fraction of the solute in the Feed to the Liquid-Liquid Extraction operation & The Feed Flowrate in Liquid-Liquid Extraction is the flowrate of the feed to the liquid liquid extraction operation for separation.
How to calculate Recovery of Solute in Liquid-Liquid Extraction?
The Recovery of Solute in Liquid-Liquid Extraction formula is defined as ratio of solute in the extract phase to that in the feed is calculated using 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)). To calculate Recovery of Solute in Liquid-Liquid Extraction, you need Mass Fraction of Solute in the Raffinate (xC), Raffinate Phase Flowrate in LLE (R), Mass Fraction of Solute in the Feed (zC) & Feed Flowrate in Liquid-Liquid Extraction (F). With our tool, you need to enter the respective value for 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 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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