6.2 Analytical Separations: Solvent Extraction, SPE, Ion Exchange, Precipitation, Masking, and Electrodeposition

Key Takeaways

  • After n extractions of aqueous volume V_aq with organic volume V_org, the fraction of solute left is [V_aq/(V_aq + D V_org)]^n, so several small extractions beat one large one.

  • A weak acid HA has a distribution ratio D = K_D [H+]/([H+] + Ka), so it is extracted into the organic phase only at a pH well below its pKa.

  • Ion-exchange selectivity rises with ionic charge and falls with hydrated radius, so a sulfonic acid resin holds Al3+ > Ca2+ > Na+.

  • Masking agents hide interferences without separating them: cyanide masks Zn2+, Cd2+, Ni2+, and Cu2+ in EDTA titrations, and fluoride masks Fe3+ and Al3+.

  • For n = 2 metals, lowering the concentration of the more noble metal from 1 M to 10^-6 M at the cathode needs a potential shift of 6 x 0.05916/2 = 0.18 V, which sets the limit for electrolytic separation.

Last updated: October 2026

6.2 Analytical Separations: Solvent Extraction, SPE, Ion Exchange, Precipitation, Masking, and Electrodeposition

Quick Answer: Analytical area D (10 items) lists solvent extraction, ion exchange, complexation, precipitation, electrodeposition, and solid-phase extraction. These separations isolate or preconcentrate an analyte before measurement. Be ready to calculate extraction efficiency, predict how pH controls extraction and precipitation, choose masking agents, and set electrolysis potentials. Chromatography, the most powerful separation family, follows in Section 6.3.


Liquid-Liquid (Solvent) Extraction

The partition coefficient describes one species distributed between two immiscible phases. The distribution ratio counts all forms of the analyte, so it is what actually governs a separation:

KD=[A]org[A]aq,D=CorgCaq (all forms)K_D = \frac{[A]_{org}}{[A]_{aq}}, \qquad D = \frac{C_{org}}{C_{aq}}\ (\text{all forms})

Multiple Extractions

After nn extractions of VaqV_{aq} with fresh VorgV_{org} each time, the fraction left in the aqueous phase is

qn=(VaqVaq+D Vorg)nq_n = \left(\frac{V_{aq}}{V_{aq} + D\,V_{org}}\right)^n

Scheme (D=4D = 4, 100 mL aqueous)Fraction RemainingExtracted
1 x 100 mL0.20080.0%
2 x 50 mL0.11188.9%
4 x 25 mL0.062593.8%

The same total solvent extracts more when divided into several portions.

pH Control for Acids and Bases

For a weak acid that partitions only as neutral HA:

D=KD[H+][H+]+KaD = \frac{K_D[H^+]}{[H^+] + K_a}

At pH far below pKapK_a, D≈KDD \approx K_D and the acid moves into the organic phase. At pH far above pKapK_a it stays in water as A−A^-. Benzoic acid (pKapK_a 4.2) is extracted into ether from pH 2 but left behind at pH 8. Amines behave the opposite way: they extract from basic solution and are stripped back into acid. This is the basis of acid-base extraction schemes.

Metal Extraction

Metal ions become extractable when converted into neutral species:

  • Chelates: dithizone, 8-hydroxyquinoline (oxine), APDC, and acetylacetone form neutral MLnML_n complexes. Because DD depends on [H+]−n[H^+]^{-n}, pH selects between metals.
  • Ion pairs: a bulky counter-ion forms an extractable neutral pair, as when FeCl4−FeCl_4^- is extracted from 6 M HCl into ether.

The separation factor α=DA/DB\alpha = D_A / D_B must be large for a clean single-stage separation.


Solid-Phase Extraction and Microextraction

Solid-phase extraction (SPE) passes the sample through a cartridge of sorbent in four steps:

  1. Condition the sorbent (for example, methanol then water for C18).
  2. Load the sample; the analyte is retained.
  3. Wash off weakly held interferences.
  4. Elute the analyte in a small volume of strong solvent, which also concentrates it.
SorbentRetains
C18 or C8 (reversed phase)Nonpolar organics from water
Silica, alumina (normal phase)Polar compounds from nonpolar solvents
Ion exchangeCharged analytes
Mixed modeAcidic or basic drugs

Solid-phase microextraction (SPME) uses a coated fibre that is exposed to the sample or its headspace and then desorbed directly in a GC inlet, with no solvent. QuEChERS ("quick, easy, cheap, effective, rugged, safe") extracts pesticide residues from food with acetonitrile and salts, followed by dispersive-SPE cleanup.


Ion Exchange

Ion-exchange resins are cross-linked polymers carrying fixed charged groups:

TypeFunctional GroupStrength
Strong-acid cation exchanger−SO3−H+-SO_3^-H^+Works at all pH
Weak-acid cation exchanger−COO−H+-COO^-H^+Needs pH above about 5
Strong-base anion exchanger−N(CH3)3+OH−-N(CH_3)_3^+OH^-Works at all pH
Weak-base anion exchanger−NH3+-NH_3^+ (amine)Needs pH below about 9

Selectivity rises with charge and with smaller hydrated radius: Al3+>Ca2+>Na+Al^{3+} > Ca^{2+} > Na^+, and for alkali metals Cs+>Rb+>K+>Na+>Li+Cs^+ > Rb^+ > K^+ > Na^+ > Li^+. Concentrated eluent can reverse the order, which is how resins are regenerated.

Applications:

  • Deionized water: pass water through an H+H^+-form cation resin, then an OH−OH^--form anion resin.
  • Total salt determination: passing a salt solution through an H+H^+ resin releases an equivalent amount of H+H^+, which is then titrated with NaOH.
  • Water softening: Na+Na^+-form resin exchanges Ca2+Ca^{2+} and Mg2+Mg^{2+}.
  • Ion chromatography with suppressed conductivity detection (Section 6.5).

Resin capacity is expressed in milliequivalents per gram (dry) or per millilitre (wet).


Precipitation Separations

  • pH-controlled hydroxide precipitation: Fe(OH)3Fe(OH)_3 precipitates from mildly acidic solution (around pH 3), well before Mg(OH)2Mg(OH)_2 (around pH 10). Buffers such as NH3/NH4+NH_3/NH_4^+ hold the pH between them.
  • Sulfide separations depend on [S2−][S^{2-}], which is controlled by pH through H2SH_2S ionization. Acidic H2SH_2S precipitates the very insoluble sulfides (CuSCuS, CdSCdS, PbSPbS, HgSHgS), while basic sulfide also precipitates ZnSZnS, NiSNiS, CoSCoS, and MnSMnS. This is the basis of the classical qualitative-analysis groups.
  • Organic precipitants: dimethylglyoxime precipitates Ni2+Ni^{2+} selectively as a red chelate; 8-hydroxyquinoline precipitates many metals at controlled pH.
  • Coprecipitation and collectors: a deliberate carrier precipitate such as Fe(OH)3Fe(OH)_3 sweeps trace metals out of large volumes for preconcentration. Section 5.3 covers unwanted coprecipitation.

Complexation and Masking

A masking agent forms a stable complex with an interfering ion so that it no longer reacts, avoiding a physical separation.

Masking AgentIons MaskedTypical Use
Cyanide (CN−CN^-, basic only)Zn2+Zn^{2+}, Cd2+Cd^{2+}, Ni2+Ni^{2+}, Cu2+Cu^{2+}, Co2+Co^{2+}, Hg2+Hg^{2+}EDTA titration of Mg2+Mg^{2+} or Ca2+Ca^{2+}
FluorideFe3+Fe^{3+}, Al3+Al^{3+}Iodometric copper determination with iron present
TriethanolamineAl3+Al^{3+}, Fe3+Fe^{3+}, Mn2+Mn^{2+}Water hardness titrations
ThioureaCu2+Cu^{2+}EDTA titrations

Demasking releases an ion selectively: formaldehyde frees Zn2+Zn^{2+} from Zn(CN)42−Zn(CN)_4^{2-}, so magnesium and zinc can be titrated in turn. Cyanide must never be acidified, because that releases toxic HCN. Section 5.5 covers EDTA titrations in detail.


Electrodeposition (Electrogravimetry)

Metals are reduced onto a weighed platinum cathode and determined by mass gain, or plated out to remove them as interferences.

  • In controlled-potential electrolysis, the cathode potential is held with a potentiostat so that only the target metal deposits. From the Nernst equation, lowering a metal's concentration a million-fold (from 1 M to 1 µM) requires a potential shift of 6×0.05916n6 \times \frac{0.05916}{n} V: 0.18 V for n=2n = 2. Two metals can therefore be separated quantitatively only if their deposition potentials differ by more than this.
  • Example: Copper deposits from acidic solution at potentials where nickel and zinc stay in solution.
  • Mercury-cathode electrolysis strips many heavy metals from solution before determining Al, Ti, or alkali metals. Its use is now limited because of mercury toxicity.
  • Depolarizers such as nitrate prevent hydrogen evolution and keep deposits adherent.

Distillation and Volatilization

Volatile analytes can be separated by distillation: NH3NH_3 in Kjeldahl analysis, CO2CO_2 from carbonates, SO2SO_2 from foods, and phenols and cyanide in water analysis.

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Choosing a Separation
Test Your Knowledge

A solute has a distribution ratio of 4.0 between an organic solvent and water. What fraction of the solute in 50.0 mL of water is extracted by three successive 10.0 mL portions of the organic solvent?

A

17.1%

B

82.9%

C

94.1%

D

70.6%

Test Your Knowledge

Benzoic acid (pKa 4.2) is to be extracted from water into diethyl ether. At which aqueous pH is extraction most complete?

A

pH 4.2

B

pH 12

C

pH 8

D

pH 2

Test Your Knowledge

Magnesium is to be titrated with EDTA in a solution that also contains zinc. Which reagent added in basic solution prevents zinc from consuming EDTA?

A

Fluoride, which forms a stable complex with Zn2+

B

Cyanide, which masks Zn2+ as Zn(CN)4 2-

C

Sodium sulfate, which removes zinc as a precipitate

D

Formaldehyde, which ties up zinc as its hydroxide

Sections you finish are checked off in the contents.