General Chemistry
Solvent Extraction
Use two unmixing liquids to pull one compound out of a mess
Solvent extraction separates a solute between two immiscible liquids by exploiting differences in solubility. The partition coefficient Kd sets how much transfers per pass, and repeated small extractions outperform one large one — three 33-mL washes recover 99.5% of a solute that one 100-mL wash would only pull 93% of.
- Equilibrium expressionKd = [A]org / [A]aq
- PhasesTwo immiscible liquids
- Driving forceDifferential solubility
- Typical apparatusSeparating funnel
- Industrial scaleMixer–settler, pulsed column
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How solvent extraction works
Drop iodine crystals into a flask of water and shake — they barely dissolve, leaving a faint brown tint. Layer hexane on top and shake again, and the iodine streaks violet through the upper layer while the water clears. The iodine has chosen sides. It prefers the non-polar hexane, so it migrates there until the chemical potential of I2 in both phases is equal.
That equilibrium is the heart of solvent extraction. For a solute A distributing between an aqueous phase and an organic phase:
A(aq) ⇌ A(org) K_d = [A]_org / [A]_aq
Kd is the partition coefficient (sometimes called the distribution coefficient). It is a constant at a given temperature and depends only on the solute and the two solvents — not on volumes, not on starting concentrations.
The fraction of solute remaining in the aqueous phase after one extraction with volume Vorg of organic solvent into a starting Vaq of aqueous solution is:
f_remaining = V_aq / (V_aq + K_d · V_org)
Visually, the separating funnel does the work. Pour both phases in, stopper, invert, and shake to maximize interfacial contact. Vent often to release pressure from volatile solvents. Let the layers re-form, identify which is denser, then drain the bottom phase through the stopcock. The product is now in one of the two collected layers — typically the organic, which evaporates cleanly with a rotary evaporator.
Why two liquids refuse to mix
Immiscibility is a thermodynamic outcome of "like dissolves like." Water molecules form a tight hydrogen-bonded network that excludes non-polar molecules — pushing them together is entropically and enthalpically unfavourable. Hexane has only weak London dispersion forces and offers no hydrogen-bond partners. The two liquids minimize their free energy by separating into bulk phases with a thin interface between them.
Polar molecules with hydrogen-bond donors (water, methanol, ethanol) tend to mix freely with each other. Non-polar solvents (hexane, toluene, diethyl ether, dichloromethane) mix freely among themselves. Pair one from each group and you get an extraction system. The greater the polarity gap, the cleaner the separation — and usually the larger the Kd for any given solute.
Worked example: sequential extraction beats one big pass
You have 100 mL of an aqueous solution containing 1.00 g of an organic compound. Its partition coefficient with diethyl ether is Kd = 5.0. You have 100 mL of ether to spend. Should you do one 100-mL extraction or three 33-mL extractions?
Single extraction (100 mL ether):
f_remaining = 100 / (100 + 5.0 × 100) = 100 / 600 = 0.167
Mass remaining in water = 1.00 g × 0.167 = 0.167 g
Mass extracted = 0.833 g (83.3%)
Three sequential extractions (33 mL ether each):
Each pass: f = 100 / (100 + 5.0 × 33) = 100 / 265 = 0.377
After three passes: f³ = 0.377³ = 0.0537
Mass remaining = 1.00 g × 0.0537 = 0.054 g
Mass extracted = 0.946 g (94.6%)
With the same total solvent volume, three small extractions recover 11 percentage points more product. Push to five 20-mL extractions and the recovery climbs to 96.9%. The general rule: n smaller extractions of V/n volume each recover more than one extraction of V, with diminishing returns past about three or four passes.
Solvent extraction vs other separation methods
| Solvent extraction | Distillation | Recrystallization | Chromatography | |
|---|---|---|---|---|
| Driving force | Solubility difference | Volatility difference | Solubility vs temperature | Adsorption affinity |
| Best for | Liquid–liquid mixtures, workups | Liquid mixtures with different boiling points | Pure solid from impure solid | Trace components, complex mixtures |
| Throughput | Batch, minutes | Continuous, hours | Hours to days (cooling) | Minutes to hours per run |
| Energy cost | Low (no heating) | High (heat of vaporization) | Moderate (heating + cooling) | Low (pumping only) |
| Selectivity tuning | Solvent choice, pH, salting | Reflux ratio, plates | Solvent choice, cooling rate | Stationary/mobile phase choice |
| Scale | Lab to industrial (hydrometallurgy) | Lab to refinery | Lab to pharma kg-scale | Mostly lab to pilot |
| Typical recovery | 90–99% with sequential passes | 95–99.9% per stage | 50–80% (mother liquor losses) | 80–95% |
Solvent extraction is the workhorse of organic synthesis cleanup. Whenever you read "the reaction was quenched with water and extracted three times with ethyl acetate," that is the operation being described.
Acid–base extraction: weaponizing pH
Most organic molecules with acidic or basic groups switch their partition behaviour dramatically with pH. A carboxylic acid R–COOH has Kd ~ 50 in ether/water, but its conjugate base R–COO⁻ has Kd ~ 0.01 — a 5000× swing. By controlling pH, a chemist can route specific compound classes into specific layers:
| Compound class | Aqueous condition | Where it goes |
|---|---|---|
| Carboxylic acid (R–COOH) | Acidic (pH 2) | Organic layer |
| Carboxylic acid (R–COO⁻) | Basic (pH 12) | Aqueous layer |
| Amine (R–NH₂) | Basic (pH 12) | Organic layer |
| Amine (R–NH₃⁺) | Acidic (pH 2) | Aqueous layer |
| Phenol (Ar–OH) | Acidic or pH 7 | Organic layer |
| Phenol (Ar–O⁻) | Strongly basic (pH 14, NaOH) | Aqueous layer |
| Neutral organic (alcohol, ester, ketone) | Any pH | Organic layer |
A classic teaching exercise: separate a mixture of benzoic acid, aniline, and naphthalene. Wash with HCl(aq) — aniline goes into water as anilinium chloride, benzoic acid and naphthalene stay in the ether. Wash the organic layer with NaOH(aq) — benzoic acid leaves as sodium benzoate, naphthalene remains. You have now sorted three compounds into three layers using nothing but pH adjustments.
Industrial extraction: where lab-scale becomes tonnage
Solvent extraction moves the world's metals. Copper hydrometallurgy produces ~25% of global Cu by leaching ore with H₂SO₄, extracting Cu²⁺ into kerosene-borne LIX reagents, then back-extracting and electrowinning. The PUREX process extracts U and Pu from nuclear fuel using tributyl phosphate in kerosene; rare-earth separation needs 30+ stages because adjacent lanthanides differ in Kd by only 10–20%. Caffeine decaffeination uses supercritical CO2 at 31°C, 74 bar — a tunable solvent above its critical point. Every API pharmaceutical plant has banks of mixer–settlers; a typical 1000-litre batch uses 800 L of organic solvent per stage, recycled hundreds of times per year.
Picking a solvent
The ideal extraction solvent is immiscible with water, dissolves the target much better than water does, evaporates easily for product recovery, doesn't react with the solute, and is cheap and safe. No solvent meets all five. The standard menu:
| Solvent | Density (g/mL) | BP (°C) | Polarity | Watch out for |
|---|---|---|---|---|
| Diethyl ether | 0.71 (top) | 35 | Low | Extreme flammability, peroxides on storage |
| Ethyl acetate | 0.90 (top) | 77 | Moderate | Slightly soluble in water (8% w/w) |
| Hexane | 0.66 (top) | 69 | Very low | Poor for polar solutes |
| Toluene | 0.87 (top) | 111 | Low | Hard to evaporate, neurotoxic on chronic exposure |
| Dichloromethane | 1.33 (bottom) | 40 | Moderate | Suspected carcinogen, bottom layer flips intuition |
| Chloroform | 1.49 (bottom) | 61 | Moderate | Hepatotoxic, increasingly restricted |
| Supercritical CO₂ | 0.4–0.9 (tunable) | Critical: 31°C / 74 bar | Tunable | Requires high-pressure equipment |
Ethyl acetate is the modern default for academic and process labs — moderate polarity, manageable BP, and a much safer toxicology profile than the chlorinated alternatives.
Variants and refinements
- Continuous liquid–liquid extraction. When Kd is small (under 1), batch extraction is hopeless. Soxhlet-style continuous extractors recycle solvent through the aqueous phase indefinitely, accumulating solute in a flask.
- Counter-current extraction (Craig distribution). A row of separating funnels passes the organic and aqueous phases in opposite directions, achieving thousands of theoretical stages — historically the way to separate proteins and antibiotics before HPLC.
- Solid-phase extraction (SPE). Replace the organic solvent with a solid sorbent (C18 silica, ion-exchange resin). Sample passes through, analyte sticks, then elutes with a small solvent volume. Standard for environmental and clinical analysis.
- Dispersive liquid–liquid microextraction (DLLME). Inject microlitres of dense extraction solvent plus a disperser into a sample, forming a droplet cloud. Centrifuge, collect microlitres for GC-MS. Concentration factors of 100–1000.
- Reactive extraction. Add a complexing agent to the organic phase (8-hydroxyquinoline, dithizone, crown ethers) that irreversibly binds the target metal, multiplying effective Kd by orders of magnitude.
Pitfalls and lab gotchas
- Pressure buildup with volatile solvents. Diethyl ether at room temperature pushes ~0.6 atm vapor pressure; warm hands or carbonate-bicarbonate reactions add more. Vent the funnel after every shake or risk a stopper rocket.
- Wrong layer assignment. Always test with a drop of water — whichever layer it joins is the aqueous one. Density tables fail when concentrated salts or high solute loadings shift densities.
- Emulsions. Detergent contamination, fine precipitates, or proteinaceous samples break into stable emulsions. Add brine, gentle swirling, centrifugation, or filtration through Celite.
- Mass balance errors. Don't forget the small amount of organic solvent dissolved in water (especially ethyl acetate), which carries dissolved product. A back-wash of the combined aqueous waste is good practice.
- Reaction during extraction. Bases extracted into chloroform can decompose it to phosgene. Hot organic solvents and amine bases can react. Chemistry doesn't pause for separation.
Frequently asked questions
Why are three small extractions better than one big one?
Each extraction multiplies the fraction remaining by Vaq / (Vaq + Kd·Vorg). Splitting the solvent into n equal portions gives that fraction raised to the nth power, which shrinks faster than 1/n. Three 33-mL extractions at Kd = 5 leave 0.5% behind versus 6.7% for one 100-mL pass.
What does the partition coefficient Kd actually measure?
Kd is the equilibrium ratio of solute concentration in the organic phase to that in the aqueous phase: Kd = [A]org / [A]aq. A Kd of 10 means the solute is 10× more concentrated in organic at equilibrium, regardless of how much volume you use.
Why do the layers refuse to separate sometimes?
Emulsions form when surfactants, fine solids, or vigorous shaking trap micro-droplets. Cures: add brine to break the emulsion via salting out, swirl gently instead of shaking, filter through Celite, or add a few drops of ethanol to lower interfacial tension.
Does the heavier liquid always go on the bottom?
Yes — density rules. Diethyl ether (0.71 g/mL) floats on water; dichloromethane (1.33 g/mL) sinks. Always confirm with a drop of water before draining: if it joins the bottom layer, that's the aqueous phase.
How does pH change what gets extracted?
Ionizable solutes have very different Kd values for their neutral and ionized forms — typically 100–1000× higher when neutral. Acidifying the aqueous phase pushes carboxylic acids into the organic layer; basifying pulls them back into water. This is the basis of acid–base extraction workups.
What is salting out?
Adding a high concentration of an inorganic salt (NaCl, Na₂SO₄, K₂CO₃) to the aqueous phase reduces the solubility of organic compounds in water by tying up water molecules in hydration shells. The effective Kd rises, driving more solute into the organic layer.