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Liquid-Liquid Extraction

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Sample Preparation and Dissolution Techniques→→Separation Science Fundamentals
extraction partition coefficient distribution ratio Craig equation separatory funnel solvent extraction back extraction

Core Idea

Liquid-liquid extraction (LLE) separates an analyte from matrix components by partitioning it between two immiscible solvents, typically an aqueous phase and an organic phase. The distribution ratio (D) describes the total concentration of all forms of the analyte in the organic phase divided by that in the aqueous phase, and it can be manipulated by adjusting pH, adding complexing agents, or choosing different solvents. Multiple sequential extractions are more efficient than a single extraction of the same total volume, a relationship quantified by the Craig equation. LLE remains widely used for sample cleanup before chromatographic analysis, for preconcentrating trace analytes, and for isolating analytes from complex biological or environmental matrices.

How It's Best Learned

Extract a colored analyte (such as iodine or a metal-dithizone complex) from water into an organic solvent using a separatory funnel, measure the fraction extracted spectrophotometrically, then perform two extractions with half-volumes and compare total recovery. Seeing the Craig equation prediction confirmed experimentally makes the advantage of multiple extractions concrete.

Common Misconceptions

Explainer

From your study of sample preparation, you know that real analytical samples — blood, soil, wastewater, food — contain far more than just the analyte. Before an instrument can measure what you care about, you need to isolate it from the matrix. Liquid-liquid extraction (LLE) does this by exploiting a fundamental physical chemistry principle: when two immiscible solvents are shaken together, each dissolved substance distributes between the two phases according to its relative solubility in each. A nonpolar analyte will preferentially dissolve in an organic solvent like dichloromethane or ethyl acetate, leaving polar matrix components behind in the aqueous phase.

The quantitative measure of this partitioning is the distribution ratio (D), defined as the total analytical concentration of the analyte in the organic phase divided by that in the aqueous phase. D differs from the thermodynamic partition coefficient (K) because D accounts for all chemical forms of the analyte — if an acidic drug exists partly as the neutral molecule and partly as its conjugate base, only the neutral form extracts well into organic solvent, so D depends on pH even though K for the neutral species is constant. This is why pH adjustment is the most powerful tool for controlling LLE: by shifting the equilibrium between ionized and un-ionized forms, you can make D very large (for extraction) or very small (for back-extraction into a fresh aqueous phase at a different pH).

The most important quantitative insight in LLE is captured by the Craig equation: the fraction extracted in n extractions with volume V of organic solvent from volume Vaq of aqueous phase is 1 − [Vaq/(Vaq + D·V)]ⁿ. This reveals that two extractions with 25 mL each always recover more analyte than one extraction with 50 mL, given the same D. The mathematical reason is that each fresh portion of solvent contacts a solution that has already been partially depleted, so it extracts a fixed fraction of what remains. Three extractions of 15 mL will recover even more. In practice, three to four extractions capture >95% of analytes with moderate D values, and the equation lets you calculate exactly how many extractions you need for a target recovery.

Beyond simple partitioning, LLE can be made more selective through chemical manipulation. Adding a chelating agent (like dithizone for heavy metals) converts metal ions into neutral complexes that partition strongly into organic solvents, achieving both extraction and selectivity simultaneously. Ion-pair extraction adds a large hydrophobic counterion that pairs with a charged analyte, creating a neutral ion pair that transfers to the organic phase. Back-extraction — shaking the organic extract with a fresh aqueous phase under conditions that favor the analyte returning to water — provides a second dimension of cleanup and can preconcentrate the analyte if the back-extraction volume is small. These techniques, combined with pH control, make LLE a versatile and powerful sample preparation method that remains in wide use despite the growth of solid-phase extraction alternatives.

Practice Questions 5 questions

Prerequisite Chain

Understanding Zero → The Number Zero → Counting to Five → Counting to 10 → Counting to 20 → Counting a Set of Objects Up to 20 → Cardinality: The Last Number Counted → Matching Numerals to Quantities → Subitizing Small Quantities → Addition Within 10 → Number Bonds to 10 → Addition Within 20 → Doubles and Near Doubles → Doubles Facts Within 10 → Near Doubles Facts Within 20 → Mental Math Strategies for Addition → Mental Math: Adding and Subtracting Tens → Addition Within 100 → Repeated Addition as Multiplication → Multiplication as Equal Groups → Multiplication: Arrays → Basic Multiplication Facts (0s, 1s, 2s, 5s, 10s) → Multiplication Facts Within 100 → Division as Equal Sharing → Division as Grouping (Measurement Division) → Division: Grouping (Repeated Subtraction) Model → Division: Fair Sharing Model → Division as Equal Sharing → Division as Grouping → Basic Division Facts → Division Facts Within 100 → Multiplication and Division Fact Families → Relationship Between Multiplication and Division → Division Facts as Inverse of Multiplication → Remainders and Quotients in Division → Division Word Problems → Multi-Step Word Problems → Solving Multi-Step Word Problems → Multiplication Word Problems → Division Word Problems → Introduction to Long Division → Factors and Multiples → Prime and Composite Numbers → Equivalent Fractions → Relating Fractions and Decimals → Decimal Place Value → Integers and the Number Line → Comparing and Ordering Integers → Absolute Value → Adding Integers → Subtracting Integers → Multiplying Integers → Dividing Integers → Unit Rates → Proportions → Percent Concept → Converting Between Fractions, Decimals, and Percents → Operations with Rational Numbers → Two-Step Equations → Solving Multi-Step Equations → Equations with Variables on Both Sides → Angle Pairs: Complementary, Supplementary, and Vertical → Parallel Lines and Transversals → Corresponding Angles → Alternate Interior Angles → Triangle Angle Sum Theorem → Exterior Angle Theorem → Triangle Inequality Theorem → Similar Triangles: AA Similarity → Similar Triangles: SSS and SAS Similarity → Proportions in Similar Triangles → Right Triangle Trigonometry Introduction → Sine, Cosine, and Tangent Ratios → Trigonometric Ratios Review → Radian Measure → Converting Between Degrees and Radians → The Unit Circle → Graphing Sine and Cosine → Graphing Tangent and Reciprocal Trigonometric Functions → Derivatives of Trigonometric Functions → Antiderivatives → Indefinite Integrals → Basic Integration Rules → Riemann Sums → Definite Integral Definition → Double Integrals: Definition and Setup → Iterated Integrals and Fubini's Theorem → Double Integrals over Rectangular Regions → Double Integrals over General Regions → Applications of Double Integrals: Area, Mass, and Moments → Triple Integrals in Cartesian Coordinates → Triple Integrals in Cylindrical and Spherical Coordinates → Change of Variables and the Jacobian Determinant → Applications of Triple Integrals: Volume and Mass → Vector Fields and Their Representations → Line Integrals of Vector Fields → Work and Circulation → Line Integrals of Scalar and Vector Functions → Fundamental Theorem for Line Integrals → Conservative Vector Fields → Conservative Vector Fields and Potential Functions → Curl and Divergence of Vector Fields → Curl and Divergence → Divergence Theorem → Electric Flux and Divergence Theorem → Gauss's Law: Integral Form and Meaning → Solving Problems with Gauss's Law → Conductors in Electrostatic Equilibrium → Capacitance and Capacitors → Dielectrics → Dielectric Constant and Relative Permittivity → Electric Field Inside Dielectric Materials → Dielectric Materials and Polarization → Dielectric Susceptibility and Permittivity → Energy Density in Electric Fields → Electric Current and Current Density → Electrical Resistance and Resistivity → Ohm's Law and Circuit Elements → Electromotive Force (EMF) and Batteries → Kirchhoff's Circuit Laws: Voltage and Current → DC Circuit Network Analysis Methods → Transient Response in RC Circuits → RC Circuits → LC and RLC Circuits → AC Circuits: Fundamentals → Impedance and Reactance → AC Power and Resonance → Electromagnetic Waves → Postulates of Special Relativity → Time Dilation → Length Contraction → Lorentz Transformation → Relativistic Velocity Addition → Relativistic Momentum and Energy → Mass-Energy Equivalence and E=mc² → Photons as Particles with Energy and Momentum → Planck-Einstein Relation: Energy and Frequency → Photoelectric Effect → The Photon: Light as Quanta → Compton Scattering → Wave-Particle Duality → de Broglie Wavelength → The Schrödinger Equation → State Vectors and Wavefunctions → Quantum Superposition → Quantum Entanglement → Bell Theorem and Bell Inequalities → Postulates of Quantum Mechanics → Observables and Quantum Operators → Commutators and Commutation Relations → Quantum Angular Momentum → Quantum Mechanical Treatment of Hydrogen → Solving the Schrödinger Equation for Hydrogen Atom → Quantum Numbers → Electron Configuration → Periodic Trends → Covalent Bonding → Electronegativity and Bond Polarity → Ionic Bonding → Lewis Structures → VSEPR Theory and Molecular Geometry → Molecular Geometry and Electron Pair Geometry → Molecular Polarity and Dipole Moments → Intermolecular Forces → Solution Concentration → Introduction to Analytical Chemistry → Sample Preparation and Dissolution Techniques → Liquid-Liquid Extraction

Longest path: 168 steps · 979 total prerequisite topics

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