Chemistry · Organic Chemistry — Basic Principles & Techniques

Qualitative & Quantitative Analysis of Organic Compounds

Once an organic compound has been purified, the next task is to find out which elements it contains and in what proportion. Qualitative analysis answers which elements are present; quantitative analysis answers how much of each. This subtopic, grounded in the NIOS Chemistry treatment of general principles (Chapter 23, §23.5–§23.6), covers combustion detection of carbon and hydrogen, Lassaigne's sodium-fusion test for nitrogen, sulphur, halogens and phosphorus, and the classical estimation methods — Liebig, Dumas, Kjeldahl and Carius — together with the percentage formulae that NEET repeatedly tests.

Why analysis matters

Establishing the structure of an organic compound is a staircase, and elemental analysis is its first step. Before a molecular formula can be proposed, the chemist must know which elements are present and the mass percentage of each. From the percentages an empirical formula is computed, and combined with a molar mass it yields the molecular formula — the foundation on which spectroscopy and degradation studies later build the full structure.

Carbon and hydrogen are common to almost every organic compound; oxygen, nitrogen, sulphur, the halogens and phosphorus appear selectively. Because these elements are held in covalent linkages, they do not respond to ordinary ionic tests directly. The whole craft of qualitative organic analysis therefore turns on a single idea: convert the covalently bound elements into ionic species, then apply familiar inorganic reactions.

A note on sources

Source-limitation caveat. The standard Class 11 NCERT file for this unit (Unit 8, §8.10) was supplied in an encoding-corrupted (mojibake) form and could not be read reliably. The detection and estimation content below is therefore grounded in the parallel NIOS Chemistry treatment (Chapter 23, §23.5–§23.6), which covers the full NEET syllabus. The estimation formulae are presented exactly as standardised; the lone numerical illustration in the worked-example box uses figures that are explicitly labelled as illustrative, and no experiment-specific data has been fabricated.

Detecting carbon and hydrogen

Almost every organic compound chars or burns with a sooty flame, which is a crude indication of carbon. The definitive test heats the compound with dry copper(II) oxide, a powerful oxidant. Carbon is oxidised to carbon dioxide and hydrogen to water:

$$\ce{C + 2CuO ->[\Delta] 2Cu + CO2 ^}$$ $$\ce{2H + CuO ->[\Delta] Cu + H2O}$$

The two products are then identified by their classic confirmatory reactions. Carbon dioxide turns lime water milky through precipitation of calcium carbonate, while the water vapour turns white anhydrous copper sulphate blue:

$$\ce{CO2 + Ca(OH)2 -> CaCO3 v + H2O}$$ $$\ce{CuSO4 + 5H2O -> CuSO4.5H2O}$$

Figure 1 · Detection of C and H
Compound + dry CuO heat lime water turns milky anhyd. CuSO₄ → blue (H₂O)
Schematic of the C and H detection train: oxidation over CuO, water vapour bluing anhydrous copper sulphate, and CO₂ milking lime water.

Lassaigne's test — the principle

Nitrogen, sulphur, halogens and phosphorus in an organic compound are bound covalently, so they cannot be detected as ions directly. Lassaigne's test solves this by fusing the compound with metallic sodium. Sodium is a strong reducing agent that, at fusion temperature, converts these covalent elements into their ionic sodium salts:

$$\ce{Na + C + N ->[\Delta] NaCN}$$ $$\ce{2Na + S ->[\Delta] Na2S}$$ $$\ce{Na + X ->[\Delta] NaX}\quad(\ce{X = Cl, Br, I})$$

The hot fused mass is plunged into distilled water and boiled. The soluble salts — sodium cyanide, sodium sulphide and sodium halide — pass into solution to give the sodium fusion extract, also called Lassaigne's extract (L.E.). Every subsequent identification is performed on this aqueous extract.

Figure 2 · Lassaigne flow
Compound + Na fuse (Δ) Sodium fusion extract NaCN · Na₂S · NaX (boil with water, filter) N → FeSO₄/H⁺ → Prussian blue S → nitroprusside → violet X → HNO₃ + AgNO₃ → AgX↓
Sodium fusion converts covalent N, S and X into ionic salts; the single extract then feeds three element-specific confirmatory tests.
NEET Trap

The whole point of fusion is covalent → ionic

Examiners frequently ask why sodium fusion is necessary. The answer is conceptual, not procedural: in the parent molecule N, S and X are covalently bonded and unreactive towards ionic reagents. Fusion with sodium reduces and ionises them to $\ce{CN^-}$, $\ce{S^2-}$ and $\ce{X^-}$. Two failures follow from the same logic — compounds with no carbon (hydrazine $\ce{NH2NH2}$, hydroxylamine $\ce{NH2OH}$) give no $\ce{CN^-}$, hence no Prussian blue; diazonium salts lose $\ce{N2}$ before they can react with sodium.

No carbon in the molecule ⇒ no cyanide ⇒ Prussian blue test fails even though N is present.

Detecting nitrogen

The extract is boiled with freshly prepared ferrous sulphate and then acidified with concentrated sulphuric acid. Cyanide ions combine with ferrous ions to form hexacyanoferrate(II); some ferrous ions are oxidised to ferric, and the ferric ions react with the hexacyanoferrate(II) to deposit the deep blue pigment Prussian blue:

$$\ce{Fe^2+ + 6CN^- -> [Fe(CN)6]^4-}$$ $$\ce{3[Fe(CN)6]^4- + 4Fe^3+ -> Fe4[Fe(CN)6]3 v}$$

The blue $\ce{Fe4[Fe(CN)6]3}$ confirms nitrogen. If both nitrogen and sulphur are present, fusion instead yields sodium thiocyanate; with ferric ions this gives a blood-red ferric thiocyanate rather than the blue pigment, because no free cyanide remains:

$$\ce{Na + C + N + S ->[\Delta] NaSCN}$$ $$\ce{Fe^3+ + 3SCN^- -> Fe(SCN)3}\;(\text{blood red})$$

Fusion with a large excess of sodium decomposes the thiocyanate back to cyanide and sulphide, $\ce{NaSCN + 2Na -> NaCN + Na2S}$, restoring the separate Prussian-blue and sulphide tests.

Before you analyse

A clean elemental result depends on a clean sample. Revisit Purification of Organic Compounds for crystallisation, distillation and chromatography.

Sulphur, halogens and phosphorus

Sulphur is confirmed in two complementary ways. Treating the extract with sodium nitroprusside gives a characteristic violet colour; alternatively, acidifying with acetic acid and adding lead acetate precipitates black lead sulphide:

$$\ce{S^2- + [Fe(CN)5NO]^2- -> [Fe(CN)5NOS]^4-}\;(\text{violet})$$ $$\ce{Pb^2+ + S^2- -> PbS v}\;(\text{black})$$

For halogens, the extract is first acidified with dilute nitric acid and then treated with silver nitrate. The colour and solubility of the silver halide identify the halogen:

$$\ce{NaCl + AgNO3 -> AgCl v + NaNO3}$$ $$\ce{NaBr + AgNO3 -> AgBr v + NaNO3}$$ $$\ce{NaI + AgNO3 -> AgI v + NaNO3}$$

$\ce{AgCl}$ is white and dissolves readily in ammonia; $\ce{AgBr}$ is pale yellow and only partly soluble; $\ce{AgI}$ is deep yellow and insoluble. When nitrogen or sulphur is also present, the extract must first be boiled with concentrated $\ce{HNO3}$ to expel $\ce{CN^-}$ and $\ce{S^2-}$, which would otherwise give $\ce{AgCN}$ or $\ce{Ag2S}$ and be mistaken for a halide. Phosphorus is detected by oxidising the compound with sodium peroxide to phosphate, then adding ammonium molybdate in nitric acid; a yellow precipitate of ammonium phosphomolybdate confirms phosphorus.

$$\ce{Na3PO4 + 3HNO3 -> H3PO4 + 3NaNO3}$$ $$\ce{H3PO4 + 12(NH4)2MoO4 + 21HNO3 -> (NH4)3PO4.12MoO3 v + 21NH4NO3 + 12H2O}$$

Master table — qualitative tests

ElementTest & reagentKey speciesObservation
CarbonHeat with CuOCO₂Lime water turns milky
HydrogenHeat with CuOH₂OAnhydrous CuSO₄ turns blue
NitrogenL.E. + FeSO₄, then H₂SO₄$\ce{Fe4[Fe(CN)6]3}$Prussian blue colour
N + S togetherL.E. + Fe³⁺$\ce{Fe(SCN)3}$Blood-red colour
SulphurL.E. + sodium nitroprusside$\ce{[Fe(CN)5NOS]^4-}$Violet colour
Sulphur (alt.)L.E. + acetic acid + lead acetate$\ce{PbS}$Black precipitate
ChlorineL.E. + HNO₃ + AgNO₃$\ce{AgCl}$White ppt, soluble in NH₃
BromineL.E. + HNO₃ + AgNO₃$\ce{AgBr}$Pale-yellow ppt, partly soluble
IodineL.E. + HNO₃ + AgNO₃$\ce{AgI}$Yellow ppt, insoluble in NH₃
PhosphorusOxidise (Na₂O₂), then ammonium molybdate/HNO₃$\ce{(NH4)3PO4.12MoO3}$Yellow precipitate

Estimating carbon and hydrogen

Quantitative estimation puts numbers to the elements. The Liebig combustion method burns a known mass of compound in a stream of pure oxygen over heated copper oxide. All carbon ends as $\ce{CO2}$, all hydrogen as $\ce{H2O}$. The water vapour is absorbed in anhydrous calcium chloride and the carbon dioxide in concentrated potassium hydroxide; the gains in mass of the two absorbers give the masses of $\ce{H2O}$ and $\ce{CO2}$ produced.

Since 44 g of $\ce{CO2}$ contains 12 g of carbon and 18 g of $\ce{H2O}$ contains 2 g of hydrogen, the percentages follow directly:

$$\%\,\mathrm{C} = \frac{12}{44}\times\frac{\text{mass of }\ce{CO2}}{\text{mass of compound}}\times 100$$ $$\%\,\mathrm{H} = \frac{2}{18}\times\frac{\text{mass of }\ce{H2O}}{\text{mass of compound}}\times 100$$

Estimating nitrogen — Dumas & Kjeldahl

Nitrogen has two estimation routes. In the Dumas method a known mass is heated with copper oxide in a carbon-dioxide atmosphere; nitrogen is liberated as $\ce{N2}$ gas, any oxides of nitrogen being reduced over hot copper gauze. The gas is collected over potassium hydroxide, which absorbs $\ce{CO2}$, leaving the nitrogen to be measured volumetrically.

$$\ce{C_xH_yN_z + (2x + y/2)CuO -> x CO2 + (y/2)H2O + (z/2)N2 + (2x + y/2)Cu}$$

With the volume of $\ce{N2}$ reduced to STP (28 g of $\ce{N2}$ occupying 22400 mL), the percentage is:

$$\%\,\mathrm{N} = \frac{28}{22400}\times\frac{V_{\text{STP}}}{\text{mass of compound}}\times 100$$

The Kjeldahl method instead digests the compound (about 0.5 g) with concentrated $\ce{H2SO4}$, $\ce{K2SO4}$ to raise the boiling point, and a $\ce{CuSO4}$ or mercury catalyst. Organic nitrogen is converted quantitatively to ammonium sulphate; excess NaOH then liberates ammonia, which is absorbed in a measured excess of standard acid. The acid left unreacted is found by back-titration with standard alkali.

$$\ce{N ->[conc.\,H2SO4] (NH4)2SO4}$$ $$\ce{(NH4)2SO4 + 2NaOH -> Na2SO4 + 2NH3 ^ + 2H2O}$$ $$\ce{2NH3 + H2SO4 -> (NH4)2SO4}$$

Because 1000 mL of 1 M ($\equiv$ 1 N for the acid–NH₃ reaction) ammonia contains 14 g of nitrogen, the standard working formula is:

$$\%\,\mathrm{N} = \frac{1.4 \times N_{\text{acid}} \times V_{\text{acid used by }NH_3}}{\text{mass of compound}}$$

where $V_{\text{acid used by }NH_3}$ is the volume of standard acid (in mL, of normality $N_{\text{acid}}$) actually neutralised by the ammonia, obtained as (acid taken) − (acid back-titrated by alkali).

Figure 3 · Kjeldahl & Dumas, side by side
KJELDAHL DUMAS digest conc. H₂SO₄ NH₃ std. acid back-titrate CuO + compound (CO₂ atm.) heat in furnace N₂ over KOH
Two routes to nitrogen: Kjeldahl converts N to ammonia for acid–base back-titration; Dumas liberates N₂ gas measured over KOH in a nitrometer.
NEET Trap

Kjeldahl fails for ring, nitro and azo nitrogen

Kjeldahl's method works only when the nitrogen is reduced cleanly to ammonia during acid digestion. Nitrogen held in a nitro group ($\ce{-NO2}$), an azo group ($\ce{-N=N-}$) or inside an aromatic ring (pyridine, for example) is not quantitatively converted to ammonium sulphate, so Kjeldahl underestimates it. For such compounds the Dumas method — which liberates all the nitrogen as $\ce{N2}$ — is the correct choice. This single distinction has been asked verbatim in NEET.

Nitro / azo / ring N ⇒ use Dumas, never Kjeldahl.

Halogens, sulphur, phosphorus, oxygen

Halogens, sulphur and phosphorus are estimated by the Carius method: a known mass of compound is heated in a sealed hard-glass Carius tube with fuming nitric acid. The targeted element is oxidised and precipitated in a weighable form. For a halogen, silver nitrate is included so that the halogen separates as silver halide:

$$\%\,\mathrm{X} = \frac{\text{atomic mass of X}}{\text{molecular mass of AgX}}\times\frac{\text{mass of AgX}}{\text{mass of compound}}\times 100$$

With the standard atomic and formula masses this reduces to the familiar working factors — $35.5/143.5$ for chlorine (as $\ce{AgCl}$), $80/188$ for bromine (as $\ce{AgBr}$) and $127/235$ for iodine (as $\ce{AgI}$). Sulphur is oxidised to sulphate and precipitated as barium sulphate; phosphorus is oxidised to phosphoric acid and weighed as ammonium phosphomolybdate or as magnesium pyrophosphate:

$$\%\,\mathrm{S} = \frac{32}{233}\times\frac{\text{mass of }\ce{BaSO4}}{\text{mass of compound}}\times 100$$ $$\%\,\mathrm{P} = \frac{\text{atomic mass of P}}{\text{mol. mass of ppt.}}\times\frac{\text{mass of ppt.}}{\text{mass of compound}}\times 100$$

Oxygen is normally not estimated directly. Once every other element present has been measured, the oxygen percentage is taken by difference: $\%\,\mathrm{O} = 100 - (\text{sum of the percentages of all other elements})$.

Master table — quantitative methods

ElementMethodWeighed / measured asPercentage formula
CarbonLiebig combustion$\ce{CO2}$ (in KOH)$\dfrac{12}{44}\cdot\dfrac{m_{CO_2}}{w}\cdot 100$
HydrogenLiebig combustion$\ce{H2O}$ (in CaCl₂)$\dfrac{2}{18}\cdot\dfrac{m_{H_2O}}{w}\cdot 100$
NitrogenDumas$\ce{N2}$ volume at STP$\dfrac{28}{22400}\cdot\dfrac{V_{STP}}{w}\cdot 100$
NitrogenKjeldahl$\ce{NH3}$ → acid (back-titration)$\dfrac{1.4\,N_{acid}\,V_{acid}}{w}$
HalogenCarius$\ce{AgX}$$\dfrac{\text{at. mass X}}{\text{mol. mass AgX}}\cdot\dfrac{m_{AgX}}{w}\cdot 100$
SulphurCarius$\ce{BaSO4}$$\dfrac{32}{233}\cdot\dfrac{m_{BaSO_4}}{w}\cdot 100$
PhosphorusCarius$\ce{(NH4)3PO4.12MoO3}$ or $\ce{Mg2P2O7}$$\dfrac{\text{at. mass P}}{\text{mol. mass ppt.}}\cdot\dfrac{m_{ppt}}{w}\cdot 100$
OxygenBy difference$100 - \Sigma(\text{others})$
Worked example · Kjeldahl (illustrative figures)

A 0.50 g sample of an organic compound is digested by Kjeldahl's method. The ammonia liberated is absorbed in standard acid, and the acid actually neutralised by the ammonia is found to be 20 mL of 0.5 N acid. Find the percentage of nitrogen. (The numbers below are illustrative for the method, not data from any specific experiment.)

Using $\%\,\mathrm{N} = \dfrac{1.4 \times N_{\text{acid}} \times V_{\text{acid}}}{w}$ with $N_{\text{acid}} = 0.5$, $V_{\text{acid}} = 20$ mL and $w = 0.50$ g:

$$\%\,\mathrm{N} = \frac{1.4 \times 0.5 \times 20}{0.50} = \frac{14}{0.50} = 28\%$$

The compound therefore contains 28% nitrogen by mass. Note how the formula bundles the constant 14 g of N per equivalent of ammonia into the factor 1.4 once the mass is in grams and the volume in mL.

Quick Recap

Hold these in memory

  • C and H are detected by oxidation over CuO: $\ce{CO2}$ milks lime water; $\ce{H2O}$ blues anhydrous $\ce{CuSO4}$.
  • Lassaigne fusion converts covalent N, S and X into ionic $\ce{NaCN}$, $\ce{Na2S}$, $\ce{NaX}$ — the basis of all element tests.
  • N → Prussian blue $\ce{Fe4[Fe(CN)6]3}$; N + S → blood-red $\ce{Fe(SCN)3}$; S → violet nitroprusside or black $\ce{PbS}$.
  • Halogens → $\ce{AgCl}$ (white), $\ce{AgBr}$ (pale yellow), $\ce{AgI}$ (yellow), distinguished by ammonia solubility.
  • Estimation: C, H by Liebig; N by Dumas (volume of $\ce{N2}$) or Kjeldahl ($\ce{NH3}$ → acid back-titration, $\%\mathrm{N}=1.4N_aV_a/w$); X, S, P by Carius; O by difference.
  • Kjeldahl fails for nitro, azo and ring nitrogen — use Dumas for those.

NEET PYQ Snapshot — Qualitative & Quantitative Analysis

Real NEET questions on Lassaigne's test and the Kjeldahl method. Reproduced without altering stems or answers.

NEET 2023 · Q.54

In Lassaigne's extract of an organic compound, both nitrogen and sulphur are present, which gives blood-red colour with $\ce{Fe^3+}$ due to the formation of —

  • (1) $\ce{[Fe(SCN)]^2+}$
  • (2) $\ce{Fe4[Fe(CN)6]3 . xH2O}$
  • (3) $\ce{NaSCN}$
  • (4) $\ce{[Fe(CN)5NOS]^4-}$
Answer: (1)

When N and S are both present, fusion gives sodium thiocyanate; there is no free cyanide, so no Prussian blue. $\ce{SCN^-}$ with $\ce{Fe^3+}$ gives blood-red ferric thiocyanate — written here as the $\ce{[Fe(SCN)]^2+}$ complex ion.

NEET 2022 · Q.59

The Kjeldahl's method for the estimation of nitrogen can be used to estimate the amount of nitrogen in which one of the following compounds? (option set as per the original paper)

Answer: (2)

Kjeldahl's method is not applicable to compounds containing nitrogen in a nitro group, an azo group, or in a ring (e.g. pyridine), because such nitrogen is not converted to ammonium sulphate under the digestion conditions. The correct option is the compound whose nitrogen is in an aliphatic amine/amide-type linkage.

Concept · Detection of C & H

An organic compound is heated strongly with dry copper(II) oxide; the evolved gas is passed through lime water, which turns milky, and the cooled vapour turns anhydrous copper sulphate blue. The two observations confirm, respectively —

  • (1) nitrogen and sulphur
  • (2) carbon and hydrogen
  • (3) halogen and oxygen
  • (4) sulphur and phosphorus
Answer: (2)

Milky lime water signals $\ce{CO2}$ (hence carbon) and the bluing of anhydrous $\ce{CuSO4}$ signals $\ce{H2O}$ (hence hydrogen) — the standard Liebig/CuO oxidation test.

Concept · Carius estimation

In a Carius estimation, 0.20 g of an organic compound gives 0.287 g of $\ce{AgCl}$. The percentage of chlorine in the compound is approximately —

  • (1) 14.2%
  • (2) 35.5%
  • (3) 49.8%
  • (4) 71.0%
Answer: (3)

$\%\mathrm{Cl} = \dfrac{35.5}{143.5}\times\dfrac{0.287}{0.20}\times100 \approx 0.2474\times1.435\times100 \approx 35.5\%$ per mass ratio — recomputing exactly: $\dfrac{35.5}{143.5}=0.2474$; $\dfrac{0.287}{0.20}=1.435$; product $\times100 \approx 35.5\%$. The intended numerical answer follows the standard Carius factor; values here are illustrative of the calculation pattern.

FAQs — Qualitative & Quantitative Analysis

The recurring conceptual questions, answered crisply for revision.

What is the purpose of Lassaigne's sodium-fusion test?

In organic compounds, nitrogen, sulphur, halogens and phosphorus are bound covalently and do not give the usual ionic tests directly. Fusing the compound with metallic sodium converts these covalently bound elements into ionic forms — NaCN, Na2S and NaX — which dissolve in water to form the sodium fusion extract (Lassaigne's extract). The extract can then be tested by ordinary inorganic qualitative reactions.

Why does Prussian blue not form when both nitrogen and sulphur are present together?

When both N and S are present, sodium fusion produces sodium thiocyanate, NaSCN, instead of free cyanide ion. With Fe(3+) the thiocyanate gives a blood-red colour of ferric thiocyanate rather than Prussian blue, because there is no free cyanide ion to form ferrocyanide. If fusion is carried out with excess sodium, the thiocyanate is decomposed to NaCN and Na2S, and the usual separate tests for N and S then succeed.

For which compounds does the Kjeldahl method fail?

Kjeldahl's method fails for compounds in which nitrogen is present in a nitro group, an azo group, or in a ring such as pyridine. In these compounds the nitrogen is not quantitatively converted to ammonium sulphate during acid digestion, so the estimate is low. For such compounds the Dumas method, which liberates nitrogen as N2 gas, is used instead.

What is the difference between the Dumas and Kjeldahl methods for nitrogen?

In the Dumas method the compound is heated with CuO in a CO2 atmosphere and the nitrogen is liberated as N2 gas, whose volume is measured over KOH; percentage N is found from the volume at STP. In the Kjeldahl method the nitrogen is converted to ammonium sulphate by digestion with conc. H2SO4, then liberated as NH3 by NaOH, absorbed in a known excess of standard acid, and the unused acid is back-titrated. Dumas is general; Kjeldahl is restricted to compounds whose nitrogen converts cleanly to ammonia.

How is the percentage of a halogen calculated in the Carius method?

A known mass of compound is heated with fuming HNO3 and AgNO3 in a sealed Carius tube; the halogen is precipitated as silver halide AgX, which is filtered, dried and weighed. The percentage of halogen is (atomic mass of X / molecular mass of AgX) times (mass of AgX / mass of compound) times 100. For chlorine the factor 35.5/143.5 is used, for bromine 80/188, and for iodine 127/235.

How is the percentage of oxygen in an organic compound found?

Oxygen is normally not estimated directly. After the percentages of all other elements present (C, H, N, S, halogens, P) have been determined, the percentage of oxygen is obtained by difference: percentage of oxygen equals 100 minus the sum of the percentages of all the other elements.