Classification of organic compounds and functional groups
Link to Std 9–10 : Std 9–10 introduced carbon and functional groups; here we make it systematic.
Sugar, oil, vinegar and soap in the kitchen are all organic compounds; their behaviour depends on the functional group.
Organic compounds contain carbon and hydrogen (with O, N, S, halogens). A functional group is the atom or group deciding chemical behaviour. A homologous series has the same group and differs by –CH₂–.
In the figure : Classification chart.
Rule 1: Special features of carbon — Tetravalence, catenation, multiple bonds and isomerism give millions of compounds.
- Easy : CH₄, C₂H₆, C₃H₈ — a series differing by CH₂ (14 u).
- Medium : C=C and C≡C multiple bonds.
- Exam-type : C₄H₁₀ has 2 isomers.
Rule 2: Common functional groups — –OH alcohol, –CHO aldehyde, >C=O ketone, –COOH carboxylic acid, –COOR ester, –NH₂ amine, –X halide, –C≡N nitrile.
- Easy : C₂H₅OH: alcohol.
- Medium : CH₃COOH: carboxylic acid.
- Exam-type : CH₃COCH₃: ketone.
Rule 3: Saturated and unsaturated — Saturated: only single bonds (alkanes). Unsaturated: C=C or C≡C (alkenes, alkynes). Aromatic: benzene ring.
- Easy : C₃H₈ is saturated; C₃H₆ is unsaturated.
- Medium : C₆H₁₂ is cyclic saturated.
- Exam-type : C₆H₆ is aromatic.
Calculation: formula and molar mass for n = 5 in CₙH₂ₙ₊₂
- Step 1: C₅H₁₂.
- Step 2: M = 5 × 12 + 12 × 1 = 72 g/mol.
- Step 3: The next member C₆H₁₄ = 72 + 14 = 86.
CET level (MCQ)
- CET 1) –CHO is a? 1) ketone 2) aldehyde 3) acid 4) ester — Answer: 2).
- CET 2) Difference in a homologous series? 1) CH 2) CH₂ 3) CH₃ 4) C — Answer: 2).
Real-life use: Medicines, plastics, fuels and dyes are all organic.
Tetravalence + catenation; the functional group decides behaviour; homologues differ by CH₂.
Treating CO₂ and carbonates as organic; they are inorganic.
A ketone has carbon on both sides of C=O; an aldehyde has H on one side.
Memory clue: "the group decides the behaviour".
Spot the difference
| Group | Name | Example |
|---|---|---|
| –OH | alcohol | C₂H₅OH |
| –CHO | aldehyde | CH₃CHO |
| >C=O | ketone | CH₃COCH₃ |
| –COOH | acid | CH₃COOH |
Practice questions
- 1What is an organic compound?
- 2What is catenation?
- 3What is a functional group?
- 4What is a homologous series?
- 5Molar mass of C₅H₁₂?
- 6Aldehyde versus ketone.
- 7Saturated versus unsaturated.
- 8Write four functional groups.
Show answers (try them yourself first)
- 1A compound containing C and H.
- 2Carbon's ability to form chains.
- 3The group deciding properties.
- 4A series growing by CH₂.
- 572 g/mol.
- 6Aldehyde has H, ketone has two carbons.
- 7Single bonds / multiple bonds.
- 8–OH, –CHO, –COOH, –NH₂.
IUPAC nomenclature
Like a unique account number, each compound has one IUPAC name.
Name = prefix + root + suffix. Root = number of C in the longest chain (meth 1, eth 2, prop 3, but 4, pent 5, hex 6, hept 7, oct 8, non 9, dec 10). Suffix = principal functional group.
In the figure : Analysing 3-methylpentan-2-ol.
Rule 1: Rules — 1) Longest chain; 2) lowest number to the principal group; 3) branches as prefixes in alphabetical order; 4) di, tri are ignored in alphabetising.
- Easy : CH₃CH(CH₃)CH₃: 2-methylpropane.
- Medium : CH₃CH₂CH₂OH: propan-1-ol.
- Exam-type : CH₃COCH₂CH₃: butan-2-one.
Rule 2: Priority of groups — –COOH > –COOR > –CONH₂ > –CN > –CHO > >C=O > –OH > –NH₂ > C=C > C≡C > –X, –R.
- Easy : HOCH₂CH₂COOH: 3-hydroxypropanoic acid.
- Medium : CH₂=CHCH₂OH: prop-2-en-1-ol.
- Exam-type : CH₃CHClCH₃: 2-chloropropane.
Rule 3: Cyclic and aromatic — Cyclic: prefix 'cyclo'; benzene derivatives: methylbenzene (toluene), hydroxybenzene (phenol).
- Easy : C₆H₁₂: cyclohexane.
- Medium : C₆H₅NH₂: aniline / benzenamine.
- Exam-type : C₆H₅COOH: benzoic acid.
Steps: naming CH₃–CH(OH)–CH(CH₃)–CH₂–CH₃
- Step 1: Longest chain has 5 C ⇒ pent.
- Step 2: OH is on C-2 from the left ⇒ -2-ol; CH₃ is on C-3.
- Step 3: Name = 3-methylpentan-2-ol.
CET level (MCQ)
- CET 1) Name of (CH₃)₂CHCH₂CH₃? 1) 2-methylbutane 2) 3-methylbutane 3) pentane 4) 2-ethylpropane — Answer: 1).
- CET 2) CH₃COCH₂CH₃? 1) butanal 2) butan-2-one 3) butan-1-ol 4) butanoic acid — Answer: 2).
Real-life use: Precise communication in pharma and chemical industry.
Longest chain; lowest number to the principal group; alphabetical branches; meth-eth-prop-but.
Choosing the visually straight chain instead of the longest.
di, tri and tetra are ignored when alphabetising, but iso and neo count.
Memory clue: "Meth-Eth-Prop-But" (Monkeys Eat Peeled Bananas…).
Spot the difference
| Formula | Name |
|---|---|
| CH₃CH₂CH₂CH₃ | butane |
| (CH₃)₃CH | 2-methylpropane |
| CH₃CH₂OH | ethanol |
| CH₃COOH | ethanoic acid |
Practice questions
- 1What is an IUPAC name?
- 2Root names for 1 to 5 carbons.
- 3Name CH₃CH₂CH₂OH.
- 4Name CH₃CHClCH₃.
- 5Write the priority order of groups.
- 6Name CH₃COCH₂CH₃.
- 7Name C₆H₁₂.
- 8Name HOCH₂CH₂COOH.
Show answers (try them yourself first)
- 1The unique systematic name of a compound.
- 2meth, eth, prop, but, pent.
- 3propan-1-ol.
- 42-chloropropane.
- 5–COOH > –CHO > >C=O > –OH > –NH₂.
- 6butan-2-one.
- 7cyclohexane.
- 83-hydroxypropanoic acid.
Isomerism (structural and stereo)
The same letters form different words; the same formula gives different compounds.
Isomers share a molecular formula but differ in structure or properties. Structural: chain, position, functional, metamerism, tautomerism. Stereoisomers: geometrical (cis/trans) and optical.
In the figure : Types of isomerism.
Isomerism (structural and stereo)
In the app you can move this figure with your finger.
Open in the appRule 1: Structural isomers — Chain: different branching; position: group or bond position; functional: different group; metamerism: different alkyl groups around O; tautomerism: H shift (keto–enol).
- Easy : C₄H₁₀O: 4 alcohols + 3 ethers = 7 isomers.
- Medium : C₅H₁₂: 3 isomers.
- Exam-type : CH₃CHO ⇌ CH₂=CHOH (tautomers).
Rule 2: Geometrical isomerism — Because rotation about C=C is restricted and each carbon bears two different groups. cis = same side, trans = opposite.
- Easy : but-2-ene: cis and trans.
- Medium : but-1-ene: none (two H on CH₂).
- Exam-type : trans usually has the higher melting point.
Rule 3: Optical isomerism — A chiral C* (four different groups) gives two mirror-image enantiomers, d/l. n chiral centres ⇒ 2ⁿ stereoisomers.
- Easy : 2-butanol: one C*, 2 enantiomers.
- Medium : n = 3 ⇒ 8.
- Exam-type : Racemic mixture: equal d + l ⇒ no net rotation.
Counting isomers of C₄H₁₀O
- Step 1: Alcohols: butan-1-ol, butan-2-ol, 2-methylpropan-1-ol, 2-methylpropan-2-ol = 4.
- Step 2: Ethers: CH₃–O–C₃H₇, CH₃–O–CH(CH₃)₂, C₂H₅–O–C₂H₅ = 3.
- Step 3: Total 4 + 3 = 7 (excluding stereoisomers).
CET level (MCQ)
- CET 1) Which has a chiral carbon? 1) CH₃CH₂OH 2) CH₃CH(OH)C₂H₅ 3) (CH₃)₂CHOH 4) CH₃CH₂CH₃ — Answer: 2).
- CET 2) 3 chiral centres give how many stereoisomers? 1) 3 2) 6 3) 8 4) 9 — Answer: 3).
Real-life use: In drugs, often only one enantiomer is active (the thalidomide lesson).
chain, position, functional, meta, tauto; cis/trans; C* ⇒ 2ⁿ.
Saying but-1-ene shows geometrical isomerism.
Meso compounds have C* yet are optically inactive, so fewer than 2ⁿ.
Memory clue: "four different = chiral".
Spot the difference
| Type | Example |
|---|---|
| chain | butane / 2-methylpropane |
| position | propan-1-ol / propan-2-ol |
| functional | C₂H₅OH / CH₃OCH₃ |
| geometrical | cis / trans-but-2-ene |
Practice questions
- 1What are isomers?
- 2Draw the isomers of C₅H₁₂.
- 3Condition for geometrical isomerism.
- 4What is C*?
- 5Isomers of C₂H₆O.
- 6What is tautomerism?
- 7What is a racemic mixture?
- 8When does the 2ⁿ rule fail?
Show answers (try them yourself first)
- 1Same formula, different structure.
- 2n-, iso-, neopentane.
- 3Each C of C=C has two different groups.
- 4A chiral carbon.
- 5C₂H₅OH and CH₃OCH₃.
- 6Isomers by H shift.
- 7An equal mixture of d and l.
- 8With meso compounds.
Electronic effects: inductive, resonance, hyperconjugation
In tug-of-war the rope moves to the stronger team; electrons likewise drift toward the more electronegative atom.
Inductive effect: shift of electron density through σ-bonds. Resonance: delocalisation of π or lone-pair electrons. Hyperconjugation: interaction of α C–H σ electrons with a π bond.
In the figure : The three effects and hyperconjugation.
Rule 1: Inductive effect — –I (withdrawing): NO₂ > CN > F > Cl > Br > I > OH. +I (donating): alkyl; (CH₃)₃C– > (CH₃)₂CH– > CH₃CH₂– > CH₃–. Falls quickly with distance.
- Easy : CF₃COOH > CCl₃COOH > CH₂ClCOOH > CH₃COOH (acidity).
- Medium : (CH₃)₃C⁺ is most stable (+I).
- Exam-type : ClCH₂CH₂COOH is weaker than ClCH₂COOH.
Rule 2: Resonance (R/M) — +R: –OH, –NH₂, –X (lone pair to ring); –R: –NO₂, –CN, –CHO, –COOH (pull electrons). The hybrid is more stable.
- Easy : Phenol is acidic: phenoxide is resonance stabilised.
- Medium : Aniline: –NH₂ +R ⇒ more density at o/p.
- Exam-type : The C2–C3 bond in butadiene is short.
Rule 3: Hyperconjugation — 'No-bond resonance'; more α-H ⇒ more stability: CH₃⁺ (0) < CH₃CH₂⁺ (3) < (CH₃)₂CH⁺ (6) < (CH₃)₃C⁺ (9).
- Easy : Propene is more stable than ethene.
- Medium : Toluene is an o/p director.
- Exam-type : Alkene stability rises with substitution.
Why is CCl₃COOH stronger than CH₃COOH?
- Step 1: The –I effect of three Cl atoms.
- Step 2: The negative charge on COO⁻ is spread out ⇒ the anion is stabilised.
- Step 3: Stable conjugate base ⇒ stronger acid (larger Ka).
CET level (MCQ)
- CET 1) Strongest acid? 1) CH₃COOH 2) ClCH₂COOH 3) Cl₂CHCOOH 4) Cl₃CCOOH — Answer: 4).
- CET 2) How many α-H in (CH₃)₃C⁺? 1) 3 2) 6 3) 9 4) 12 — Answer: 3).
Real-life use: Acid-base strength, dyes, drug design.
–I: NO₂ > CN > F > Cl; +I: tertiary > secondary; α-H: 0, 3, 6, 9.
Treating alkyl as –I; alkyl donates electrons.
–I order is F > Cl > Br > I, but halogens also show +R.
Memory clue: "more H, more stable" (hyperconjugation).
Spot the difference
| Effect | Path | Distance |
|---|---|---|
| Inductive | σ | falls off |
| Resonance | π / lp | long range |
| Hyperconj. | σ(C–H) → π | adjacent |
Practice questions
- 1What is the inductive effect?
- 2Order of –I groups.
- 3What is resonance?
- 4Explain hyperconjugation.
- 5Why is CCl₃COOH strong?
- 6Why is phenol acidic?
- 7Why is (CH₃)₃C⁺ the most stable?
- 8Two +R groups.
Show answers (try them yourself first)
- 1Shift of electron density through σ-bonds.
- 2NO₂ > CN > F > Cl > Br > I.
- 3Delocalisation of π electrons.
- 4C–H σ electrons conjugate with π.
- 5–I of three Cl atoms.
- 6Phenoxide is resonance stabilised.
- 79 α-H and +I.
- 8–OH, –NH₂.
Reaction intermediates: carbocation, carbanion, free radical, carbene
Like a station on a journey, an intermediate is a short-lived stop in a reaction.
An intermediate is a short-lived species formed during a reaction: carbocation (R₃C⁺), carbanion (R₃C⁻), free radical (R₃C•), carbene (:CR₂).
In the figure : The four intermediates and their shapes.
Rule 1: Carbocation — sp², planar, 6 electrons; stability 3° > 2° > 1° > CH₃⁺; allyl and benzyl are extra stable (resonance). Rearrangement is possible.
- Easy : (CH₃)₃C⁺ is tertiary.
- Medium : A 1° → 2° hydride shift.
- Exam-type : C₆H₅CH₂⁺ is benzyl.
Rule 2: Carbanion — sp³ pyramidal with a lone pair; stability CH₃⁻ > 1° > 2° > 3° (alkyl donates, so reversed). –I/–R groups stabilise it.
- Easy : ⁻CH₂NO₂ is stable (–R).
- Medium : Acetylide ion (sp, 50 % s).
- Exam-type : Grignard reagents behave like carbanions.
Rule 3: Free radical and carbene — Radical: one unpaired electron, stability 3° > 2° > 1°, formed by homolysis. Carbene: neutral, 6 electrons, :CH₂ (singlet sp²).
- Easy : Cl₂ → 2Cl• (light).
- Medium : CHCl₃ + KOH ⇒ :CCl₂.
- Exam-type : The benzyl radical is stable.
Why is a carbocation planar?
- Step 1: C has three σ-bonds and an empty p orbital.
- Step 2: Three σ-bonds spread to 120° ⇒ planar (sp²).
- Step 3: The empty p orbital lies perpendicular ⇒ attack from either face.
CET level (MCQ)
- CET 1) Hybridisation of a carbocation? 1) sp 2) sp² 3) sp³ 4) sp³d — Answer: 2).
- CET 2) Shape of a carbanion? 1) planar 2) pyramidal 3) linear 4) octahedral — Answer: 2).
Real-life use: SN1, E1, radical chains, Grignard synthesis.
C⁺: sp², 6 e⁻; C⁻: sp³, lone pair; C•: 1 e⁻; :C: neutral 6 e⁻.
Treating carbanion stability like carbocation; it is reversed.
Benzyl and allyl cations can beat 3° through resonance.
Memory clue: "cation flat, anion pyramid".
Spot the difference
| Species | Hybridisation | Shape |
|---|---|---|
| R₃C⁺ | sp² | planar |
| R₃C⁻ | sp³ | pyramidal |
| R₃C• | sp² | nearly planar |
Practice questions
- 1What is an intermediate?
- 2Stability order of carbocations.
- 3Stability order of carbanions.
- 4What is a carbene?
- 5Why is a carbocation planar?
- 6How is a radical formed?
- 7Why is the benzyl cation stable?
- 8In which reaction does a carbene arise?
Show answers (try them yourself first)
- 1A short-lived species.
- 23° > 2° > 1° > CH₃⁺.
- 3CH₃⁻ > 1° > 2° > 3°.
- 4Neutral carbon with 6 electrons.
- 5sp² with an empty p.
- 6By homolysis.
- 7Resonance.
- 8CHCl₃ + KOH.
Reaction types, electrophiles and nucleophiles
A magnet pulls iron; electrophiles are pulled to electron-rich sites.
Substitution, addition, elimination, rearrangement. An electrophile (E⁺) accepts an electron pair; a nucleophile (Nu⁻) donates one. Fission: homolytic (radicals) or heterolytic (ions).
In the figure : Bond fission and reaction types.
Rule 1: Types of reactions — Substitution: one group replaces another; addition: adds across a multiple bond; elimination: loses a small molecule (HX, H₂O); rearrangement: atoms rearranged.
- Easy : CH₄ + Cl₂ → CH₃Cl + HCl: substitution.
- Medium : C₂H₄ + HBr → C₂H₅Br: addition.
- Exam-type : C₂H₅OH → C₂H₄ + H₂O: elimination.
Rule 2: E⁺ and Nu⁻ — E⁺: H⁺, NO₂⁺, Br⁺, BF₃, AlCl₃, carbocations. Nu⁻: OH⁻, CN⁻, RO⁻, NH₃, H₂O, Cl⁻ (lone pairs).
- Easy : CH₃Br + OH⁻ → CH₃OH + Br⁻ (Nu attack).
- Medium : Benzene + NO₂⁺ (E⁺ attack).
- Exam-type : Nu⁻ attacks the δ⁺ carbon of C=O.
Rule 3: Curly arrows — A full-headed arrow shows movement of an electron pair; a half-headed (fish-hook) arrow shows a single electron. Arrows go from electron-rich to electron-poor.
- Easy : A–B → A⁺ + :B⁻ (full arrow toward B).
- Medium : A–B → A• + B• (two half arrows).
- Exam-type : Count the arrows and balance charges.
Example: CH₃–Br + OH⁻ → CH₃OH + Br⁻ (SN2)
- Step 1: C–Br is polar ⇒ C δ⁺, Br δ⁻.
- Step 2: OH⁻ (Nu) attacks C from the back.
- Step 3: Br⁻ leaves in the same step (transition state).
CET level (MCQ)
- CET 1) Which is a nucleophile? 1) BF₃ 2) NH₃ 3) H⁺ 4) NO₂⁺ — Answer: 2).
- CET 2) C₂H₅OH → C₂H₄ + H₂O is? 1) substitution 2) addition 3) elimination 4) rearrangement — Answer: 3).
Real-life use: Drug synthesis, polymers, fuel reforming.
Substitution, addition, elimination, rearrangement; E⁺ accepts e⁻, Nu⁻ donates e⁻.
Calling BF₃ or AlCl₃ nucleophiles; they are electrophiles (Lewis acids).
H₂O and NH₃ are neutral yet nucleophiles (lone pairs).
Memory clue: "Nu seeks the nucleus (+); E seeks electrons".
Spot the difference
| Item | Electrophile | Nucleophile |
|---|---|---|
| e⁻ pair | accepts | donates |
| Example | NO₂⁺, BF₃ | OH⁻, NH₃ |
| Attacks | e⁻ -समृद्ध | e⁻ -गरीब |
Practice questions
- 1List four types of reactions.
- 2What is an electrophile?
- 3Examples of nucleophiles.
- 4Homolytic and heterolytic fission.
- 5Type of C₂H₅OH → C₂H₄.
- 6What does a curly arrow show?
- 7Why is H₂O a nucleophile?
- 8Number of steps in SN2.
Show answers (try them yourself first)
- 1Substitution, addition, elimination, rearrangement.
- 2A species accepting an electron pair.
- 3OH⁻, CN⁻, NH₃.
- 4Homolytic: radicals; heterolytic: ions.
- 5Elimination.
- 6Movement of an electron pair.
- 7A lone pair on O.
- 8One.
Detection of elements and quantitative analysis
Like a test for adulterated milk, we test whether a compound has N, S or Cl.
Lassaigne's extract: fuse the compound with Na ⇒ ionic NaCN, Na₂S, NaX; then test. Quantitative: C, H (combustion), N (Dumas/Kjeldahl), halogens and S (Carius).
In the figure : Lassaigne tests and formulae.
Detection of elements and quantitative analysis
In the app you can move this figure with your finger.
Open in the appRule 1: Qualitative tests — N: Prussian blue; S: violet (nitroprusside) or black PbS; X: AgCl white, AgBr pale yellow, AgI yellow; N + S: blood red.
- Easy : 3Na₄[Fe(CN)₆] + 4Fe³⁺ → Fe₄[Fe(CN)₆]₃ (blue).
- Medium : S²⁻ + Pb²⁺ → PbS (black).
- Exam-type : Cl⁻ + Ag⁺ → AgCl (white; dissolves in NH₃).
Rule 2: Dumas and Kjeldahl — Dumas: %N = (28/22400) × (V/w) × 100 (V mL N₂ at STP). Kjeldahl: %N = 1.4 × N × V / w (acid normality N, V mL).
- Easy : 0.3 g gives 50 mL N₂ at STP: %N = 20.83.
- Medium : 0.5 g, 30 mL of 0.1 N acid: %N = 8.4.
- Exam-type : Kjeldahl fails for nitro and azo compounds.
Rule 3: Carius and combustion — Carius: %Cl = (35.5/143.5) × (m₂/m₁) × 100 (mass m₂ of AgCl). Combustion: %C = (12/44) × (m(CO₂)/m) × 100; %H = (2/18) × (m(H₂O)/m) × 100.
- Easy : 0.4 g gives 0.287 g AgCl: %Cl = 17.75.
- Medium : 0.22 g CO₂ from 0.1 g sample: %C = 60.
- Exam-type : 0.09 g H₂O from 0.1 g: %H = 10.
Calculation: 0.1 g sample gives 0.22 g CO₂ and 0.09 g H₂O
- Step 1: %C = (12/44) × (0.22/0.1) × 100 = 60.
- Step 2: %H = (2/18) × (0.09/0.1) × 100 = 10.
- Step 3: The remaining 30 % is O (if present).
CET level (MCQ)
- CET 1) Test for N? 1) Prussian blue 2) black 3) yellow ppt 4) violet — Answer: 1).
- CET 2) 0.1 g sample, 0.22 g CO₂: %C? 1) 40 2) 50 3) 60 4) 70 — Answer: 3).
Real-life use: Composition of food/drug samples, adulteration tests.
N = Prussian blue; S = violet/black; X = AgX; Dumas 28/22400; Carius 35.5/143.5.
Forgetting to boil with HNO₃ before the halogen test (to remove S²⁻ and CN⁻).
With both N and S the test gives blood-red Fe(SCN)²⁺, not blue.
Memory clue: "blue N, black S".
Spot the difference
| Element | Test | Result |
|---|---|---|
| N | FeSO₄/FeCl₃ | blue |
| S | Pb(OAc)₂ | black |
| Cl | AgNO₃ | white |
Practice questions
- 1What is Lassaigne's extract?
- 2Write the test for N.
- 3Test for S.
- 4Write the Dumas formula.
- 5Where does Kjeldahl fail?
- 60.4 g gives 0.287 g AgCl: %Cl?
- 70.3 g, 50 mL N₂: %N?
- 8Why boil with HNO₃?
Show answers (try them yourself first)
- 1Extract from fusing with Na.
- 2FeSO₄ + NaOH, HCl ⇒ blue.
- 3Pb(OAc)₂ ⇒ black PbS.
- 4(28/22400)(V/w) × 100.
- 5Nitro and azo compounds.
- 617.75 %.
- 720.83 %.
- 8To remove S²⁻ and CN⁻.
Quick revision of the whole lesson
| Concept | Key formula / fact |
|---|---|
| Classification | open/cyclic; functional groups |
| IUPAC | prefix + root + suffix |
| Isomerism | chain, position, group; cis/trans; C* |
| Effects | –I, +I, R, hyperconjugation |
| Intermediates | C⁺ sp², C⁻ sp³, C•, :C |
| Reagents | E⁺ accepts e⁻; Nu⁻ donates e⁻ |
| Lassaigne | N blue; S black; X AgX |
| Dumas | 28/22400 |
🚀 Quick revision of the whole lesson
In the app you can move this figure with your finger.
Open in the app🎯 Most important points for the exam
- Classification and functional groups.
- IUPAC nomenclature.
- Isomerism.
- Electronic effects.
- Intermediates.
- Reaction types, E⁺, Nu⁻.
- Detection and estimation of elements.
understand the idea → remember the formula → solve the example → solve problems yourself.