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Liquid-Liquid Extraction

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Sample Preparation and Dissolution TechniquesSeparation 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 ZeroThe Number ZeroCounting to FiveCounting to 10Counting to 20Counting a Set of Objects Up to 20Cardinality: The Last Number CountedMatching Numerals to QuantitiesSubitizing Small QuantitiesAddition Within 10Number Bonds to 10Addition Within 20Doubles and Near DoublesDoubles Facts Within 10Near Doubles Facts Within 20Mental Math Strategies for AdditionMental Math: Adding and Subtracting TensAddition Within 100Repeated Addition as MultiplicationMultiplication as Equal GroupsMultiplication: ArraysBasic Multiplication Facts (0s, 1s, 2s, 5s, 10s)Multiplication Facts Within 100Division as Equal SharingDivision as Grouping (Measurement Division)Division: Grouping (Repeated Subtraction) ModelDivision: Fair Sharing ModelDivision as Equal SharingDivision as GroupingBasic Division FactsDivision Facts Within 100Multiplication and Division Fact FamiliesRelationship Between Multiplication and DivisionDivision Facts as Inverse of MultiplicationRemainders and Quotients in DivisionDivision Word ProblemsMulti-Step Word ProblemsSolving Multi-Step Word ProblemsMultiplication Word ProblemsDivision Word ProblemsIntroduction to Long DivisionFactors and MultiplesPrime and Composite NumbersEquivalent FractionsRelating Fractions and DecimalsDecimal Place ValueIntegers and the Number LineComparing and Ordering IntegersAbsolute ValueAdding IntegersSubtracting IntegersMultiplying IntegersDividing IntegersUnit RatesProportionsPercent ConceptConverting Between Fractions, Decimals, and PercentsOperations with Rational NumbersTwo-Step EquationsSolving Multi-Step EquationsEquations with Variables on Both SidesAngle Pairs: Complementary, Supplementary, and VerticalParallel Lines and TransversalsCorresponding AnglesAlternate Interior AnglesTriangle Angle Sum TheoremExterior Angle TheoremTriangle Inequality TheoremSimilar Triangles: AA SimilaritySimilar Triangles: SSS and SAS SimilarityProportions in Similar TrianglesRight Triangle Trigonometry IntroductionSine, Cosine, and Tangent RatiosTrigonometric Ratios ReviewRadian MeasureConverting Between Degrees and RadiansThe Unit CircleGraphing Sine and CosineGraphing Tangent and Reciprocal Trigonometric FunctionsDerivatives of Trigonometric FunctionsAntiderivativesIndefinite IntegralsBasic Integration RulesRiemann SumsDefinite Integral DefinitionDouble Integrals: Definition and SetupIterated Integrals and Fubini's TheoremDouble Integrals over Rectangular RegionsDouble Integrals over General RegionsApplications of Double Integrals: Area, Mass, and MomentsTriple Integrals in Cartesian CoordinatesTriple Integrals in Cylindrical and Spherical CoordinatesChange of Variables and the Jacobian DeterminantApplications of Triple Integrals: Volume and MassVector Fields and Their RepresentationsLine Integrals of Vector FieldsWork and CirculationLine Integrals of Scalar and Vector FunctionsFundamental Theorem for Line IntegralsConservative Vector FieldsConservative Vector Fields and Potential FunctionsCurl and Divergence of Vector FieldsCurl and DivergenceDivergence TheoremElectric Flux and Divergence TheoremGauss's Law: Integral Form and MeaningSolving Problems with Gauss's LawConductors in Electrostatic EquilibriumCapacitance and CapacitorsDielectricsDielectric Constant and Relative PermittivityElectric Field Inside Dielectric MaterialsDielectric Materials and PolarizationDielectric Susceptibility and PermittivityEnergy Density in Electric FieldsElectric Current and Current DensityElectrical Resistance and ResistivityOhm's Law and Circuit ElementsElectromotive Force (EMF) and BatteriesKirchhoff's Circuit Laws: Voltage and CurrentDC Circuit Network Analysis MethodsTransient Response in RC CircuitsRC CircuitsLC and RLC CircuitsAC Circuits: FundamentalsImpedance and ReactanceAC Power and ResonanceElectromagnetic WavesPostulates of Special RelativityTime DilationLength ContractionLorentz TransformationRelativistic Velocity AdditionRelativistic Momentum and EnergyMass-Energy Equivalence and E=mc²Photons as Particles with Energy and MomentumPlanck-Einstein Relation: Energy and FrequencyPhotoelectric EffectThe Photon: Light as QuantaCompton ScatteringWave-Particle Dualityde Broglie WavelengthThe Schrödinger EquationState Vectors and WavefunctionsQuantum SuperpositionQuantum EntanglementBell Theorem and Bell InequalitiesPostulates of Quantum MechanicsObservables and Quantum OperatorsCommutators and Commutation RelationsQuantum Angular MomentumQuantum Mechanical Treatment of HydrogenSolving the Schrödinger Equation for Hydrogen AtomQuantum NumbersElectron ConfigurationPeriodic TrendsCovalent BondingElectronegativity and Bond PolarityIonic BondingLewis StructuresVSEPR Theory and Molecular GeometryMolecular Geometry and Electron Pair GeometryMolecular Polarity and Dipole MomentsIntermolecular ForcesSolution ConcentrationIntroduction to Analytical ChemistrySample Preparation and Dissolution TechniquesLiquid-Liquid Extraction

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