Qualitative and Quantitative Analysis

Updated 22 Mar 2026
Sub-topics
2 sub-topics
  1. 1Detection of Elements
  2. 2Estimation of Carbon, Hydrogen, Nitrogen, Sulphur, Phosphorus

Qualitative and quantitative analysis in organic chemistry refers to the systematic methods employed to first identify the constituent elements present in an organic compound (qualitative analysis), and subsequently determine their exact proportions or percentages by mass (quantitative analysis). These analytical techniques are foundational to understanding the composition and purity of organic su…

Quick Summary

Qualitative and quantitative analysis are fundamental techniques in organic chemistry to understand the elemental composition of compounds. Qualitative analysis focuses on identifying the presence of elements like carbon, hydrogen, nitrogen, sulfur, and halogens.

Carbon and hydrogen are detected by combustion with CuO, yielding CO2_2 (turns limewater milky) and H2_2O (turns anhydrous CuSO4_4 blue). For N, S, and halogens, Lassaigne's test is employed, where the organic compound is fused with sodium metal to convert these elements into ionic forms (NaCN, Na2_2S, NaX) in a sodium fusion extract (SFE).

Nitrogen is detected by Prussian blue formation with FeSO4_4/FeCl3_3. Sulfur gives black PbS with lead acetate or violet with sodium nitroprusside. Halogens form AgX precipitates with AgNO3_3, distinguishable by color and solubility in NH4_4OH.

Quantitative analysis determines the exact percentage of each element. Carbon and hydrogen are estimated by Liebig's combustion, weighing CO2_2 and H2_2O formed. Nitrogen is estimated by Dumas method (measuring N2_2 gas volume) or Kjeldahl's method (titrating liberated NH3_3).

Halogens and sulfur are estimated by Carius method, precipitating them as AgX and BaSO4_4 respectively, and weighing. Phosphorus is estimated as Mg2_2P2_2O7_7. Oxygen is usually estimated by difference.

These methods are crucial for determining empirical and molecular formulas.

Full explanation

Organic chemistry, at its core, is the study of carbon-containing compounds. To truly understand these compounds, we must first ascertain their elemental makeup. This is where qualitative and quantitative analysis become indispensable.

These analytical techniques allow us to identify the elements present and then precisely determine their proportions, laying the groundwork for molecular formula determination and structural elucidation.

\n\nI. Conceptual Foundation\nAt the heart of both qualitative and quantitative analysis lies the principle of converting elements within an organic compound into simpler, measurable inorganic forms.

Organic compounds are generally covalent and complex. To detect or estimate their constituent elements (other than C and H, which are ubiquitous), we often need to break down the organic structure and transform the elements into ionic or simple molecular forms that react predictably with specific reagents.

This conversion ensures that the element of interest is isolated or transformed into a compound whose mass or volume can be accurately measured, or whose characteristic reaction can be observed.\n\n**II.

Qualitative Analysis: Detection of Elements\nThis branch focuses on identifying the presence or absence of specific elements.\n\nA. Detection of Carbon and Hydrogen:**\n* Principle: When an organic compound is heated strongly with copper(II) oxide (CuO), carbon is oxidized to carbon dioxide (CO2_2) and hydrogen is oxidized to water (H2_2O).

Nitrogen, if present, is converted to N2_2 gas, and halogens to copper halides.\n* Reaction:\n * C (from organic compound) + 2CuO heat\xrightarrow{\text{heat}} 2Cu + CO2_2\n * 2H (from organic compound) + CuO heat\xrightarrow{\text{heat}} Cu + H2_2O\n* Procedure: The organic compound is mixed with dry CuO and heated in a test tube.

The evolved gases are passed through a U-tube containing anhydrous copper sulfate (CuSO4_4), followed by a test tube containing limewater (Ca(OH)2_2 solution).\n* Observation:\n * If hydrogen is present, the anhydrous CuSO4_4 (white) turns blue (due to formation of CuSO45_4 \cdot 5H2_2O).

\n * If carbon is present, the limewater turns milky (due to formation of insoluble CaCO3_3).\n * Ca(OH)2_2 + CO2_2 \rightarrow CaCO3_3 \downarrow + H2_2O\n\nB. Detection of Nitrogen, Sulfur, and Halogens (Lassaigne's Test or Sodium Fusion Test):\n* Principle: Organic compounds are covalent.

To detect elements like N, S, and halogens, they must be converted into ionic forms. This is achieved by fusing the organic compound with a small piece of sodium metal. Sodium, being highly reactive, converts these elements into their respective sodium salts (NaCN for N, Na2_2S for S, NaX for halogens).

The resulting 'sodium fusion extract' (SFE) is then tested for these ions.\n* Procedure: A small piece of sodium metal is heated in a fusion tube until it melts and glows. A pinch of the organic compound is added, and heating is continued strongly until red hot.

The hot tube is then plunged into distilled water in a porcelain dish, breaking the tube and allowing the contents to react. The mixture is boiled, cooled, and filtered to obtain the SFE.\n* Tests on SFE:\n * For Nitrogen:\n * Principle: NaCN reacts with freshly prepared FeSO4_4 solution to form sodium ferrocyanide, which then reacts with FeCl3_3 to form Prussian blue (ferric ferrocyanide).

\n * Reactions:\n * Na + C + N fusion\xrightarrow{\text{fusion}} NaCN\n * FeSO4_4 + 2NaCN \rightarrow Fe(CN)2_2 + Na2_2SO4_4\n * Fe(CN)2_2 + 4NaCN \rightarrow Na4_4[Fe(CN)6_6] (Sodium ferrocyanide)\n * 3Na4_4[Fe(CN)6_6] + 4FeCl3_3 \rightarrow Fe4_4[Fe(CN)6_6]3_3 \downarrow (Prussian Blue) + 12NaCl\n * Observation: Prussian blue coloration or precipitate.

\n * Important Note: If both N and S are present, NaSCN is formed, which gives blood-red coloration with FeCl3_3. This indicates the presence of both N and S.\n * Na + C + S + N fusion\xrightarrow{\text{fusion}} NaSCN\n * FeCl3_3 + 3NaSCN \rightarrow Fe(SCN)3_3 (Blood Red) + 3NaCl\n * For Sulfur:\n * Principle: Na2_2S reacts with lead acetate to form black lead sulfide (PbS) or with sodium nitroprusside to give a violet coloration.

\n * Reactions:\n * 2Na + S fusion\xrightarrow{\text{fusion}} Na2_2S\n * Na2_2S + (CH3_3COO)2_2Pb \rightarrow PbS \downarrow (Black) + 2CH3_3COONa\n * Na2_2S + Na2_2[Fe(CN)5_5NO] \rightarrow Na4_4[Fe(CN)5_5NOS] (Violet)\n * Observation: Black precipitate with lead acetate or violet coloration with sodium nitroprusside.

\n * For Halogens (Cl, Br, I):\n * Principle: NaX (X = Cl, Br, I) reacts with AgNO3_3 to form precipitates of silver halides (AgCl, AgBr, AgI), which differ in color and solubility in NH4_4OH.

\n * Reactions:\n * Na + X fusion\xrightarrow{\text{fusion}} NaX\n * NaX + AgNO3_3 \rightarrow AgX \downarrow + NaNO3_3\n * Procedure: Acidify a portion of SFE with dilute HNO3_3 (to decompose any NaCN or Na2_2S that would interfere) and then add AgNO3_3 solution.

\n * Observation:\n * White precipitate, soluble in NH4_4OH \rightarrow Cl (AgCl)\n * Pale yellow precipitate, sparingly soluble in NH4_4OH \rightarrow Br (AgBr)\n * Yellow precipitate, insoluble in NH4_4OH \rightarrow I (AgI)\n * Beilstein Test: A copper wire is heated in a flame until it glows.

It is then dipped in the organic compound and reheated. A green or bluish-green flame indicates the presence of halogens. This test is not conclusive as some N-containing compounds also give a positive test.

\n\nC. Detection of Phosphorus:\n* Principle: The organic compound is heated with an oxidizing agent (like Na2_2O2_2 or fuming HNO3_3) to convert phosphorus into phosphate. The phosphate is then detected by forming a yellow precipitate with ammonium molybdate.

\n* Reaction:\n * P (from organic compound) oxidizing agent\xrightarrow{\text{oxidizing agent}} H3_3PO4_4\n * H3_3PO4_4 + 12(NH4_4)2_2MoO4_4 + 21HNO3_3 \rightarrow (NH4_4)3_3PO412_4 \cdot 12MoO3_3 \downarrow (Ammonium phosphomolybdate, yellow) + 21NH4_4NO3_3 + 12H2_2O\n* Observation: Yellow precipitate.

\n\nIII. Quantitative Analysis: Estimation of Elements\nThis branch focuses on determining the precise percentage of each element by mass.\n\nA. Estimation of Carbon and Hydrogen (Liebig's Combustion Method):\n* Principle: A known mass of the organic compound is completely combusted in an excess of oxygen.

Carbon is quantitatively converted to CO2_2, and hydrogen to H2_2O. These products are then absorbed in pre-weighed absorbents, and their masses are determined.\n* Apparatus: Combustion tube, U-tube containing anhydrous CaCl2_2 (for H2_2O absorption), and a Liebig's bulb containing KOH solution (for CO2_2 absorption).

\n* Calculations:\n * Mass of organic compound = ww g\n * Mass of water formed = w1w_1 g\n * Mass of CO2_2 formed = w2w_2 g\n * Percentage of Hydrogen = Mass of H in w1 g H2OMass of organic compound×100=218×w1w×100\frac{\text{Mass of H in } w_1 \text{ g H}_2\text{O}}{\text{Mass of organic compound}} \times 100 = \frac{2}{18} \times \frac{w_1}{w} \times 100\%\n * Percentage of Carbon = Mass of C in w2 g CO2Mass of organic compound×100=1244×w2w×100\frac{\text{Mass of C in } w_2 \text{ g CO}_2}{\text{Mass of organic compound}} \times 100 = \frac{12}{44} \times \frac{w_2}{w} \times 100\%\n\n**B.

Estimation of Nitrogen:**\n* 1. Dumas Method:\n * Principle: A known mass of the organic compound is heated with copper(II) oxide in an atmosphere of CO2_2. Nitrogen, if present, is converted into free nitrogen gas (N2_2).

The volume of N2_2 collected over KOH solution (which absorbs CO2_2) is measured at known temperature and pressure.\n * Reactions:\n * Cx_xHy_yNz_z + (2x + y/2)CuO \rightarrow xCO2_2 + y/2 H2_2O + z/2 N2_2 + (2x + y/2)Cu\n * Calculations:\n * Volume of N2_2 at STP = VV' mL\n * Mass of N2_2 = 2822400×V\frac{28}{22400} \times V' g (since 22400 mL N2_2 at STP weighs 28 g)\n * Percentage of Nitrogen = 2822400×Vw×100\frac{28}{22400} \times \frac{V'}{w} \times 100\%\n* **2.

Kjeldahl's Method:**\n * Principle: This method is used for compounds containing nitrogen directly linked to carbon (amines, amides). It's not suitable for nitro, azo, or pyridine-type compounds where nitrogen is not easily converted to ammonium sulfate.

A known mass of the organic compound is heated with concentrated H2_2SO4_4 in the presence of a catalyst (e.g., CuSO4_4, K2_2SO4_4). Nitrogen is quantitatively converted to ammonium sulfate. This ammonium sulfate is then treated with excess NaOH to liberate ammonia gas, which is absorbed in a known volume of standard acid.

The unreacted acid is then back-titrated with a standard alkali.\n * Reactions:\n * Organic compound + H2_2SO4_4 catalyst\xrightarrow{\text{catalyst}} (NH4_4)2_2SO4_4\n * (NH4_4)2_2SO4_4 + 2NaOH \rightarrow Na2_2SO4_4 + 2NH3_3 + 2H2_2O\n * 2NH3_3 + H2_2SO4_4 \rightarrow (NH4_4)2_2SO4_4 (or NH3_3 + HCl \rightarrow NH4_4Cl)\n * Calculations:\n * Let the volume of H2_2SO4_4 taken = VV mL, and its molarity = MM\n * Volume of NaOH used for back titration = V1V_1 mL, and its molarity = M1M_1\n * Moles of H2_2SO4_4 reacted with NH3_3 = (Total moles of H2_2SO4_4) - (Moles of H2_2SO4_4 reacted with NaOH)\n * Since 2 moles of NH3_3 react with 1 mole of H2_2SO4_4, moles of NH3_3 = 2 ×\times (moles of H2_2SO4_4 reacted with NH3_3)\n * Mass of Nitrogen = Moles of NH3_3 ×\times 14 g/mol\n * Percentage of Nitrogen = $\frac{1.

4 \times M \times (V - V_1/2)}{w}(ifusingstandardacidandalkali,where(if using standard acid and alkali, whereV_1isvolumeofNaOHequivalenttounreactedacid,andis volume of NaOH equivalent to unreacted acid, andVistotalacidtaken.ForHCl,itwouldbeis total acid taken. For HCl, it would be1.4 \times M \times (V - V_1)$)\n\n**C.

Estimation of Halogens (Carius Method):**\n* Principle: A known mass of the organic compound is heated in a sealed Carius tube with fuming nitric acid and silver nitrate. Halogens (Cl, Br, I) are converted to their respective silver halides (AgCl, AgBr, AgI), which are then filtered, washed, dried, and weighed.

\n* Reactions:\n * Organic compound + HNO3_3 + AgNO3_3 heat\xrightarrow{\text{heat}} AgX \downarrow\n* Calculations:\n * Mass of organic compound = ww g\n * Mass of AgX formed = w1w_1 g\n * Percentage of Halogen = Atomic mass of XMolecular mass of AgX×w1w×100\frac{\text{Atomic mass of X}}{\text{Molecular mass of AgX}} \times \frac{w_1}{w} \times 100\%\n\n**D.

Estimation of Sulfur (Carius Method):**\n* Principle: A known mass of the organic compound is heated in a sealed Carius tube with fuming nitric acid. Sulfur is oxidized to sulfuric acid (H2_2SO4_4).

Barium chloride solution is then added to precipitate sulfur as barium sulfate (BaSO4_4), which is filtered, washed, dried, and weighed.\n* Reactions:\n * S (from organic compound) + HNO3_3 heat\xrightarrow{\text{heat}} H2_2SO4_4\n * H2_2SO4_4 + BaCl2_2 \rightarrow BaSO4_4 \downarrow + 2HCl\n* Calculations:\n * Mass of organic compound = ww g\n * Mass of BaSO4_4 formed = w1w_1 g\n * Percentage of Sulfur = Atomic mass of SMolecular mass of BaSO4×w1w×100=32233×w1w×100\frac{\text{Atomic mass of S}}{\text{Molecular mass of BaSO}_4} \times \frac{w_1}{w} \times 100 = \frac{32}{233} \times \frac{w_1}{w} \times 100\%\n\n**E.

Estimation of Phosphorus (Carius Method):**\n* Principle: A known mass of the organic compound is heated in a sealed Carius tube with fuming nitric acid. Phosphorus is oxidized to phosphoric acid (H3_3PO4_4).

This is then precipitated as ammonium phosphomolybdate or as MgNH4_4PO4_4, which on ignition gives Mg2_2P2_2O7_7.\n* **Calculations (using Mg2_2P2_2O7_7):**\n * Mass of organic compound = ww g\n * Mass of Mg2_2P2_2O7_7 formed = w1w_1 g\n * Percentage of Phosphorus = 2×Atomic mass of PMolecular mass of Mg2P2O7×w1w×100=2×31222×w1w×100\frac{\text{2} \times \text{Atomic mass of P}}{\text{Molecular mass of Mg}_2\text{P}_2\text{O}_7} \times \frac{w_1}{w} \times 100 = \frac{2 \times 31}{222} \times \frac{w_1}{w} \times 100\%\n\n**F.

Estimation of Oxygen:**\n* Oxygen is usually estimated by difference (100 - sum of percentages of all other elements). Direct methods exist but are more complex and less commonly used in introductory contexts.

\n\nIV. Real-World Applications\n* Drug Synthesis and Quality Control: Ensuring the purity and elemental composition of pharmaceutical compounds is critical for efficacy and safety. Analytical techniques confirm the presence of desired elements and absence of impurities.

For example, nitrogen estimation is vital for many drug molecules. \n* Environmental Analysis: Detecting and quantifying pollutants in air, water, and soil (e.g., nitrogen and sulfur compounds from industrial emissions) relies heavily on these methods.

\n* Forensic Science: Identifying unknown substances or residues at crime scenes often begins with elemental analysis.\n* Research and Development: Characterizing new organic compounds synthesized in laboratories, determining their empirical and molecular formulas, and verifying reaction pathways.

\n\nV. Common Misconceptions\n* Lassaigne's Test Interference: Students often forget to acidify the SFE before testing for halogens, leading to false positives if NaCN or Na2_2S are present (e.

g., AgCN or Ag2_2S precipitates). Also, the blood-red color for N and S is often confused with the Prussian blue test for N alone.\n* Kjeldahl's Method Limitations: A common mistake is assuming Kjeldahl's method works for all nitrogen-containing compounds.

It fails for nitro, azo, and pyridine-type compounds because their nitrogen is not quantitatively converted to ammonium sulfate under the reaction conditions.\n* Carius Method Safety: Underestimating the hazards of heating organic compounds with fuming nitric acid in a sealed tube.

Proper safety precautions are paramount.\n* Calculation Errors: Forgetting to convert volumes to STP in Dumas method, or incorrect stoichiometric ratios in Kjeldahl or Carius calculations.\n\n**VI.

NEET-Specific Angle**\nFor NEET, the focus is typically on: \n* Reagents and Observations: Knowing which reagent is used for which test (e.g., anhydrous CuSO4_4 for water, limewater for CO2_2, FeCl3_3 for nitrogen in SFE, AgNO3_3 for halogens).

\n* Characteristic Colors/Precipitates: Prussian blue, blood red, black PbS, violet nitroprusside, white/pale yellow/yellow AgX precipitates, yellow ammonium phosphomolybdate. \n* Principles of Methods: Understanding the basic chemical transformations in Lassaigne's, Dumas, Kjeldahl, and Carius methods.

\n* Limitations: Especially for Kjeldahl's method. \n* Basic Calculations: Being able to apply the percentage formulas for C, H, N, S, Halogens, and P. Questions often involve direct application of these formulas or comparing results from different methods.

Emphasis is on conceptual clarity and quick, accurate calculations.

Key Concepts

Lassaigne's Test for Nitrogen

This test relies on the formation of sodium ferrocyanide, which then reacts with ferric ions to produce a…

Liebig's Method for Carbon and Hydrogen Estimation

This method is based on the complete combustion of the organic compound. All carbon is converted to CO2_2,…

Carius Method for Halogen Estimation

This method involves heating a known mass of the organic compound with fuming nitric acid and silver nitrate…

Often confused with

Side-by-side differences the NEET paper likes to test.

Qualitative and Quantitative Analysis vs Dumas Method vs. Kjeldahl's Method for Nitrogen Estimation
AspectQualitative and Quantitative AnalysisDumas Method vs. Kjeldahl's Method for Nitrogen Estimation
PrincipleNitrogen converted to N$_2$ gas, volume measured.Nitrogen converted to (NH$_4$)$_2$SO$_4$, then NH$_3$, estimated by titration.
ApplicabilityApplicable to all nitrogen-containing organic compounds (nitro, azo, pyridine, etc.).Not applicable to nitro, azo, or pyridine-type compounds; only for N directly linked to C (amines, amides).
AccuracyGenerally more accurate and universal.Relatively simpler, but limited in scope; can be less accurate for certain compounds.
ComplexityRequires precise measurement of gas volume at STP.Involves acid-base titration, which can be simpler in terms of apparatus.
ProductsN$_2$ gas, CO$_2$, H$_2$O.Ammonia (NH$_3$), which is then absorbed in acid.

The Dumas method is a more universal and generally more accurate technique for estimating nitrogen in organic compounds, as it converts all forms of nitrogen into gaseous N2_2. In contrast, Kjeldahl's method is simpler and faster but has significant limitations; it cannot be used for compounds where nitrogen is part of nitro, azo, or pyridine rings, as these forms of nitrogen are not quantitatively converted to ammonium sulfate during digestion.

Therefore, the choice of method depends on the specific type of nitrogen-containing compound being analyzed.

Why it is tested: For NEET, understanding the applicability and limitations of each method is crucial. Questions often test which method is suitable for a given compound or the underlying principle of each. Numerical problems might involve calculations from both methods.

Questions students ask

5 answered on this topic.

Why is sodium metal used in Lassaigne's test?

Sodium metal is highly reactive and acts as a strong reducing agent. Organic compounds contain elements like nitrogen, sulfur, and halogens in covalent forms. For their detection, these elements need to be converted into ionic forms, which are more reactive and give characteristic tests.

Fusing the organic compound with sodium metal converts these covalent elements into inorganic ionic salts like sodium cyanide (NaCN), sodium sulfide (Na2_2S), and sodium halides (NaX), respectively. These ionic salts can then be easily extracted with water and tested using specific reagents.

What are the limitations of Kjeldahl's method for nitrogen estimation?

Kjeldahl's method is highly effective for nitrogen present in amines and amides, where nitrogen is directly bonded to carbon. However, it is not suitable for all nitrogen-containing organic compounds.

Specifically, it fails for compounds where nitrogen is present in nitro groups (e.g., nitrobenzene), azo groups (e.g., azobenzene), or in pyridine rings. In these compounds, the nitrogen is not quantitatively converted into ammonium sulfate under the conditions of the Kjeldahl digestion, leading to inaccurate results.

For such compounds, the Dumas method is preferred.

Why is the sodium fusion extract acidified with dilute HNO$_3$ before testing for halogens?

Acidification of the sodium fusion extract (SFE) with dilute nitric acid is crucial before adding silver nitrate for halogen detection. This step serves to decompose any sodium cyanide (NaCN) and sodium sulfide (Na2_2S) that might be present in the SFE.

If these are not removed, they would react with silver nitrate to form silver cyanide (AgCN) or silver sulfide (Ag2_2S) precipitates, respectively. These precipitates are also white or black and would interfere with the detection of silver halides (AgCl, AgBr, AgI), leading to false positive results or masking the actual halogen precipitate.

Heating the acidified solution helps in the complete removal of HCN and H2_2S gases.

What is the purpose of anhydrous copper sulfate in the detection of carbon and hydrogen?

In the Liebig's combustion method for the qualitative detection of carbon and hydrogen, anhydrous copper sulfate (CuSO4_4) serves as a specific indicator for the presence of water. Anhydrous copper sulfate is white.

When the gases evolved from the combustion of the organic compound are passed through it, if water (H2_2O) is present, it reacts with the anhydrous CuSO4_4 to form hydrated copper sulfate (CuSO45_4 \cdot 5H2_2O), which is blue.

This color change confirms the presence of hydrogen in the original organic compound.

How is oxygen estimated in an organic compound?

Unlike carbon, hydrogen, nitrogen, sulfur, and halogens, oxygen is typically estimated by difference in organic compounds. This means that after determining the percentage composition of all other elements (C, H, N, S, halogens, P) through their respective quantitative methods, the sum of these percentages is subtracted from 100.

The remaining percentage is then attributed to oxygen. While direct methods for oxygen estimation exist, they are more complex and less commonly employed in routine analysis or for NEET-level understanding.

The 'by difference' method assumes that all other elements have been accurately quantified.

Revise in 30 seconds

  • C & H Detection (Liebig):C \rightarrow CO2_2 (limewater milky), H \rightarrow H2_2O (anhydrous CuSO4_4 white \rightarrow blue).\n- N, S, Halogens (Lassaigne): Fuse with Na \rightarrow SFE (NaCN, Na2_2S, NaX).\n - N: SFE + FeSO4_4 + FeCl3_3 \rightarrow Prussian Blue (Fe4_4[Fe(CN)6_6]3_3).\n - N + S: SFE + FeCl3_3 \rightarrow Blood Red (Fe(SCN)3_3).\n - S: SFE + Pb(OAc)2_2 \rightarrow Black PbS; or SFE + Na2_2[Fe(CN)5_5NO] \rightarrow Violet.\n - Halogens: SFE + dil. HNO3_3 + AgNO3_3 \rightarrow AgCl (white, sol. in NH4_4OH), AgBr (pale yellow, sparingly sol.), AgI (yellow, insol.).\n- P Detection: Oxidize to PO43_4^{3-}, then + (NH4_4)2_2MoO4_4 + HNO3_3 \rightarrow Yellow ppt. ((NH4_4)3_3PO412_4 \cdot 12MoO3_3).\n- Quantitative Formulas:\n - %C=1244×mass of CO2mass of org. comp.×100\%C = \frac{12}{44} \times \frac{\text{mass of CO}_2}{\text{mass of org. comp.}} \times 100\n - %H=218×mass of H2Omass of org. comp.×100\%H = \frac{2}{18} \times \frac{\text{mass of H}_2\text{O}}{\text{mass of org. comp.}} \times 100\n - %NDumas=2822400×Vol. of N2 at STPmass of org. comp.×100\%N_{\text{Dumas}} = \frac{28}{22400} \times \frac{\text{Vol. of N}_2\text{ at STP}}{\text{mass of org. comp.}} \times 100\n - %NKjeldahl=1.4×Macid×Vacid reactedmass of org. comp.\%N_{\text{Kjeldahl}} = \frac{1.4 \times M_{\text{acid}} \times V_{\text{acid reacted}}}{\text{mass of org. comp.}} (simplified)\n - %X=Atomic mass of XMolar mass of AgX×mass of AgXmass of org. comp.×100\%X = \frac{\text{Atomic mass of X}}{\text{Molar mass of AgX}} \times \frac{\text{mass of AgX}}{\text{mass of org. comp.}} \times 100\n - %S=32233×mass of BaSO4mass of org. comp.×100\%S = \frac{32}{233} \times \frac{\text{mass of BaSO}_4}{\text{mass of org. comp.}} \times 100\n- Kjeldahl Limitations: Not for nitro, azo, pyridine N.

Lassaigne's NSH: Nice Salty Halogens.\nNitrogen: Prussian Blue (for Nice). \nSulfur: Black PbS or Violet Nitroprusside (for Salty). \nHalogens: White, Pale Yellow, Yellow AgX (for Halogens).