Mass Ratio of Solvent in Extract Phase Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
Z = yB/(yA+yC)
This formula uses 4 Variables
Variables Used
Mass Ratio of Solvent in Extract Phase - The Mass Ratio of Solvent in Extract Phase is the ratio of mass of solvent in the extract phase to the mass of solute plus carrier liquid in the extract phase.
Mass Fraction of Solvent in the Extract - The Mass Fraction of Solvent in the Extract Phase is the mass fraction of the solvent in the extract phase after separation of the ternary mixture.
Mass Fraction of Carrier Liquid in the Extract - The Mass Fraction of Carrier Liquid in the Extract Phase is the mass fraction of the carrier liquid in the extract phase after separation of the ternary mixture.
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.
STEP 1: Convert Input(s) to Base Unit
Mass Fraction of Solvent in the Extract: 0.43 --> No Conversion Required
Mass Fraction of Carrier Liquid in the Extract: 0.674 --> No Conversion Required
Mass Fraction of Solute in the Extract: 0.3797 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Z = yB/(yA+yC) --> 0.43/(0.674+0.3797)
Evaluating ... ...
Z = 0.408085792920186
STEP 3: Convert Result to Output's Unit
0.408085792920186 --> No Conversion Required
FINAL ANSWER
0.408085792920186 0.408086 <-- Mass Ratio of Solvent in Extract Phase
(Calculation completed in 00.004 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

Mass Ratio of Solvent in Extract Phase Formula

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)
Z = yB/(yA+yC)

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 Mass Ratio of Solvent in Extract Phase?

Mass Ratio of Solvent in Extract Phase calculator uses 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) to calculate the Mass Ratio of Solvent in Extract Phase, The Mass Ratio of Solvent in Extract Phase formula is defined as formula to calculate mass ratio of solvent given the all the mass fractions in the extract phase. This value is used for plotting Maloney Schubert or Janecke Diagram. Mass Ratio of Solvent in Extract Phase is denoted by Z symbol.

How to calculate Mass Ratio of Solvent in Extract Phase using this online calculator? To use this online calculator for Mass Ratio of Solvent in Extract Phase, enter Mass Fraction of Solvent in the Extract (yB), Mass Fraction of Carrier Liquid in the Extract (yA) & Mass Fraction of Solute in the Extract (yC) and hit the calculate button. Here is how the Mass Ratio of Solvent in Extract Phase calculation can be explained with given input values -> 0.408086 = 0.43/(0.674+0.3797).

FAQ

What is Mass Ratio of Solvent in Extract Phase?
The Mass Ratio of Solvent in Extract Phase formula is defined as formula to calculate mass ratio of solvent given the all the mass fractions in the extract phase. This value is used for plotting Maloney Schubert or Janecke Diagram and is represented as Z = yB/(yA+yC) or 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). The Mass Fraction of Solvent in the Extract Phase is the mass fraction of the solvent in the extract phase after separation of the ternary mixture, The Mass Fraction of Carrier Liquid in the Extract Phase is the mass fraction of the carrier liquid in the extract phase after separation of the ternary mixture & 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.
How to calculate Mass Ratio of Solvent in Extract Phase?
The Mass Ratio of Solvent in Extract Phase formula is defined as formula to calculate mass ratio of solvent given the all the mass fractions in the extract phase. This value is used for plotting Maloney Schubert or Janecke Diagram is calculated using 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). To calculate Mass Ratio of Solvent in Extract Phase, you need Mass Fraction of Solvent in the Extract (yB), Mass Fraction of Carrier Liquid in the Extract (yA) & Mass Fraction of Solute in the Extract (yC). With our tool, you need to enter the respective value for Mass Fraction of Solvent in the Extract, Mass Fraction of Carrier Liquid in the Extract & Mass Fraction of Solute in the Extract 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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