Groups 13, 14, 15: configuration and trends
Aluminium utensils (group 13), pencil graphite (group 14) and N/P in fertiliser (group 15) — all in daily life.
Group 13: ns²np¹ (B, Al, Ga, In, Tl); group 14: ns²np² (C, Si, Ge, Sn, Pb); group 15: ns²np³ (N, P, As, Sb, Bi). All are p-block; down a group radius grows and ionisation enthalpy generally falls.
In the figure : IE₁ trends.
Rule 1: Atomic radius — Increases down a group. Covalent radius (pm): B 85, Al 143, Ga 135, In 167, Tl 170. Ga < Al because 3d electrons shield poorly.
- Easy : C 77 < Si 118.
- Medium : N 70 < P 110 < As 120.
- Exam-type : Ga is smaller than Al.
Rule 2: Ionisation enthalpy — IE₁ (kJ/mol): group 13 – B 801, Al 577, Ga 579, In 558, Tl 589; group 14 – C 1086 → Pb 715; group 15 – N 1402 → Bi 703. N is high due to its half-filled 2p³.
- Easy : Ga ≈ Al (exception).
- Medium : N > P > As > Sb > Bi.
- Exam-type : Tl > In (poor d and f shielding).
Rule 3: Electronegativity and metallic character — Group 13: B (2.0) is a non-metal, others are metals; group 14: C non-metal, Si/Ge metalloids, Sn/Pb metals; group 15: N, P non-metals, As/Sb metalloids, Bi metal.
- Easy : B is more electronegative than Al.
- Medium : Si and Ge are semiconductors.
- Exam-type : Bi is the most metallic of group 15.
Reasoning: why is IE of Ga not lower than Al?
- Step 1: Ga has a filled 3d¹⁰; d electrons shield poorly.
- Step 2: Effective nuclear charge rises.
- Step 3: The outer electron is held tighter ⇒ IE ≈ Al and a smaller radius.
CET level (MCQ)
- CET 1) Valence configuration of group 14? 1) ns²np¹ 2) ns²np² 3) ns²np³ 4) ns²np⁴ — Answer: 2).
- CET 2) Smallest covalent radius? 1) Al 2) Ga 3) In 4) Tl — Answer: 2).
Real-life use: Aluminium utensils, silicon chips, fertilisers.
IE: N 1402 (highest); Ga ≈ Al; Ga smaller than Al.
Assuming IE always falls down the group; Ga and Tl are exceptions.
Ga < Al in radius and IE ≈ Al is a CET favourite exception.
Memory clue: "groups 13-14-15 = np¹, np², np³".
Spot the difference
| Group | Configuration | First element |
|---|---|---|
| 13 | ns²np¹ | B |
| 14 | ns²np² | C |
| 15 | ns²np³ | N |
Practice questions
- 1Write the group 13 configuration.
- 2Why is Ga smaller than Al?
- 3Why is N's IE high?
- 4Name a semiconductor.
- 5How does radius change down a group?
- 6Why is Tl's IE above In?
- 7The metal in group 15?
- 8Why is B a non-metal?
Show answers (try them yourself first)
- 1ns²np¹.
- 2Poor d shielding.
- 3Half-filled 2p³.
- 4Si or Ge.
- 5It increases.
- 6Poor f and d shielding.
- 7Bi.
- 8Small, high IE, covalent bonding.
Oxidation states, inert pair effect and bonding
Lead in batteries prefers +2, while nitrogen in fertilisers shows states from −3 to +5.
Inert pair effect: in heavy elements the ns² pair stays out of bonding ⇒ the state 2 below the group valence is stable (Tl⁺, Pb²⁺, Bi³⁺).
In the figure : Inert pair.
Rule 1: Common states — Group 13: +3 (Tl: +1); group 14: +4, +2; group 15: −3, +3, +5. Compounds of B and C are almost entirely covalent.
- Easy : AlCl₃: Al +3.
- Medium : PbCl₂: Pb +2.
- Exam-type : NH₃: N −3; HNO₃: N +5.
Rule 2: Inert pair effect — Tl⁺ is more stable than Tl³⁺; Pb²⁺ more than Pb⁴⁺; Bi³⁺ more than Bi⁵⁺. Pb⁴⁺ and Tl³⁺ are strong oxidising agents.
- Easy : PbO₂ is an oxidant.
- Medium : SnCl₂ is a reductant (Sn²⁺ → Sn⁴⁺).
- Exam-type : TlCl₃ is unstable, TlCl stable.
Rule 3: Bonding and valence shell — N has a maximum covalency of 4 (no d orbitals); P reaches 5/6 (PCl₅, PCl₆⁻). B is electron-deficient (BF₃, 6 e⁻); so is Al.
- Easy : NCl₅ does not exist; PCl₅ does.
- Medium : BF₃ + :NH₃ → F₃B←NH₃.
- Exam-type : AlCl₃ dimerises to Al₂Cl₆.
Reasoning: why is Pb⁴⁺ an oxidant?
- Step 1: Pb⁴⁺ + 2e⁻ → Pb²⁺.
- Step 2: The inert 6s² pair makes Pb²⁺ stable.
- Step 3: So Pb⁴⁺ gains electrons to give Pb²⁺ ⇒ oxidant.
CET level (MCQ)
- CET 1) Stable state of Tl? 1) +1 2) +3 3) +2 4) +5 — Answer: 1).
- CET 2) Why no NCl₅? 1) no d orbitals 2) high IE 3) large size 4) inert — Answer: 1).
Real-life use: Lead-acid batteries, tin plating.
Tl +1, Pb +2, Bi +3; N maximum covalency 4.
Writing covalency 5 for N; its maximum covalency is 4.
NCl₅ is wrong, yet N is +5 in HNO₃ (oxidation state).
Memory clue: "heavy = 2 less" (Tl +1, Pb +2, Bi +3).
Spot the difference
| Group | Group valence | Stable in heaviest |
|---|---|---|
| 13 | +3 | Tl +1 |
| 14 | +4 | Pb +2 |
| 15 | +5 | Bi +3 |
Practice questions
- 1What is the inert pair effect?
- 2Stable state of Tl?
- 3Why is SnCl₂ a reductant?
- 4Why is NCl₅ absent?
- 5Why is BF₃ electron-deficient?
- 6Role of PbO₂?
- 7Stable state of Bi?
- 8Oxidation state of N in HNO₃?
Show answers (try them yourself first)
- 1The ns² pair not taking part in bonding.
- 2+1.
- 3Sn²⁺ easily goes to Sn⁴⁺.
- 4N has no d orbitals.
- 5Only 6 electrons.
- 6Oxidising agent.
- 7+3.
- 8+5.
Reactivity with air, water, halogens; nature of oxides
A thin oxide layer on aluminium utensils protects the metal beneath.
Oxides of groups 13–15 go from acidic to amphoteric to basic down a group (metallic character rises).
In the figure : Nature of oxides.
Rule 1: Air and water — B gives B₂O₃ + BN on heating; Al forms a protective Al₂O₃ layer and, hot, 2Al + N₂ → 2AlN. C and Si do not react with water readily; Sn and Pb react slowly in air.
- Easy : 4Al + 3O₂ → 2Al₂O₃.
- Medium : 2B + 3O₂ → 2B₂O₃ (hot).
- Exam-type : Al + NaOH + H₂O → Na[Al(OH)₄] + H₂.
Rule 2: With halogens — Group 13: MX₃ (BCl₃, AlCl₃). Group 14: MX₄ (CCl₄, SiCl₄), Pb/Sn also give MX₂. Group 15: NX₃, PX₃, PX₅. SiCl₄ + 2H₂O → SiO₂ + 4HCl (hydrolysis); CCl₄ does not hydrolyse.
- Easy : BCl₃ + 3H₂O → H₃BO₃ + 3HCl.
- Medium : C has no d orbitals ⇒ CCl₄ does not hydrolyse.
- Exam-type : PCl₃ + 3H₂O → H₃PO₃ + 3HCl.
Rule 3: Nature of oxides — B₂O₃ is acidic; Al₂O₃ and Ga₂O₃ amphoteric; In₂O₃ and Tl₂O basic. CO₂ and SiO₂ acidic; SnO₂ and PbO₂ amphoteric. N₂O₅ and P₄O₁₀ acidic; Bi₂O₃ basic. CO is neutral.
- Easy : Al₂O₃ + 6HCl → 2AlCl₃ + 3H₂O.
- Medium : Al₂O₃ + 2NaOH + 3H₂O → 2Na[Al(OH)₄].
- Exam-type : CO, N₂O and NO are neutral.
Calculation: H₂ from 2 mol Al with NaOH
- Step 1: 2Al + 2NaOH + 6H₂O → 2Na[Al(OH)₄] + 3H₂.
- Step 2: 2 mol Al ⇒ 3 mol H₂.
- Step 3: At STP: 3 × 22.4 = 67.2 L.
CET level (MCQ)
- CET 1) Amphoteric oxide? 1) B₂O₃ 2) Al₂O₃ 3) Tl₂O 4) CO₂ — Answer: 2).
- CET 2) Which does not hydrolyse? 1) SiCl₄ 2) CCl₄ 3) PCl₃ 4) BCl₃ — Answer: 2).
Real-life use: Anodising aluminium, acid/base cleaning.
B₂O₃ acidic, Al₂O₃ amphoteric, Tl₂O basic; CCl₄ does not hydrolyse.
Calling Al₂O₃ only basic.
CO and N₂O are neutral, not acidic.
Memory clue: "lower = basic".
Spot the difference
| Oxide | Nature |
|---|---|
| B₂O₃ | acidic |
| Al₂O₃ | amphoteric |
| Tl₂O | basic |
| CO | neutral |
Practice questions
- 1Protective layer on Al?
- 2Why is Al₂O₃ amphoteric?
- 3Why no hydrolysis of CCl₄?
- 4BCl₃ + H₂O equation.
- 5Name a neutral oxide.
- 6H₂ at STP from 2 mol Al?
- 7Hydrolysis of SiCl₄.
- 8Nature of Bi₂O₃?
Show answers (try them yourself first)
- 1Al₂O₃.
- 2Reacts with both acid and base.
- 3C has no d orbitals.
- 4BCl₃ + 3H₂O → H₃BO₃ + 3HCl.
- 5CO.
- 667.2 L.
- 7SiCl₄ + 2H₂O → SiO₂ + 4HCl.
- 8Basic.
Allotropy and catenation: carbon and phosphorus
Pencil graphite and a diamond ring are both pure carbon; red phosphorus is on a matchbox.
Allotropy: different physical forms of one element. Catenation: bonding with own atoms to form chains (C > Si > S ...).
In the figure : Allotropes of C and P.
Rule 1: Allotropes of carbon — Diamond: sp³, C–C 154 pm, hard insulator. Graphite: sp², layered, conducts, lubricant. Fullerene C₆₀: 12 pentagons + 20 hexagons, football-like.
- Easy : Diamond is the hardest.
- Medium : Graphite conducts (free π electrons).
- Exam-type : C₆₀ has 60 carbons.
Rule 2: Allotropes of phosphorus — White P₄ (60° strain, ignites in air, stored under water, dissolves in CS₂), red (chains, stable), black (layered, most stable).
- Easy : P₄ + 5O₂ → P₄O₁₀.
- Medium : 12.4 g P₄ → 28.4 g P₄O₁₀.
- Exam-type : White is poisonous, red is not.
Rule 3: Catenation — C–C bond energy 348 kJ/mol; Si–Si about 297; so carbon catenates most. N is poor (weak N–N), P moderate.
- Easy : Countless hydrocarbons.
- Medium : Few silanes SiₙH₂ₙ₊₂.
- Exam-type : P–P bonds in P₄.
Calculation: P₄O₁₀ from burning 12.4 g P₄
- Step 1: M(P₄) = 124 ⇒ n = 12.4 ÷ 124 = 0.1 mol.
- Step 2: P₄ + 5O₂ → P₄O₁₀ (1 : 1).
- Step 3: M(P₄O₁₀) = 284 ⇒ 0.1 × 284 = 28.4 g.
CET level (MCQ)
- CET 1) Hybridisation in graphite? 1) sp 2) sp² 3) sp³ 4) sp³d — Answer: 2).
- CET 2) White phosphorus is stored? 1) in air 2) under water 3) in oil 4) in CS₂ — Answer: 2).
Real-life use: Pencils, diamond drills, matches, carbon nanotubes.
Diamond sp³; graphite sp² + free electrons; C₆₀ = 60 C; P₄ strain 60°.
Calling graphite hard; it is soft.
Diamond and graphite differ by hybridisation, not element.
Memory clue: "diamond = 3 (sp³), graphite = 2 (sp²)".
Spot the difference
| Item | Diamond | Graphite |
|---|---|---|
| Hybridisation | sp³ | sp² |
| Conductivity | no | yes |
| Hardness | high | low |
Practice questions
- 1What is allotropy?
- 2Why does graphite conduct?
- 3Structure of C₆₀.
- 4Why store white P under water?
- 5P₄O₁₀ from 12.4 g P₄?
- 6What is catenation?
- 7Why is red P stable?
- 8Why does C lead in catenation?
Show answers (try them yourself first)
- 1Different forms of one element.
- 2Free π electrons.
- 312 pentagons + 20 hexagons.
- 4It ignites in air.
- 528.4 g.
- 6Chain formation by own atoms.
- 7Chain structure, less strain.
- 8Strong C–C bond.
Molecular structures of important compounds
Boric acid eye drops, silica sand and ammonia cleaner each have a different shape.
Shapes follow VSEPR and hybridisation: BF₃ trigonal planar (sp²), NH₃ pyramidal (sp³), SiCl₄ tetrahedral, PCl₅ trigonal bipyramidal (sp³d), B₂H₆ bridged.
In the figure : Structures.
Molecular structures of important compounds
In the app you can move this figure with your finger.
Open in the appRule 1: Diborane B₂H₆ — 12 valence electrons, too few for 8 normal pairs. 4 terminal B–H (2c–2e) plus 2 bridges B–H–B (3c–2e). B is sp³. B–H–B angle ≈ 97°.
- Easy : Terminal H: 4; bridging H: 2.
- Medium : Six bonding positions but only 12 electrons.
- Exam-type : B₂H₆ + 6H₂O → 2H₃BO₃ + 6H₂.
Rule 2: BF₃, NH₃ and hybridisation — BF₃: sp², 120°, electron-deficient (Lewis acid). NH₃: sp³, one lone pair, 107°. SiO₂: tetrahedral Si in a network.
- Easy : BF₃ + NH₃ → F₃B←NH₃.
- Medium : [BF₄]⁻ is tetrahedral.
- Exam-type : NH₄⁺ is tetrahedral, 109.5°.
Rule 3: Boric acid and silicates — H₃BO₃: layered through H-bonds; a Lewis acid: B(OH)₃ + 2H₂O ⇌ [B(OH)₄]⁻ + H₃O⁺. Silicates: SiO₄⁴⁻ units forming chains, sheets or 3-D networks.
- Easy : H₃BO₃ is monobasic (Lewis).
- Medium : Zeolites: Si–O–Al framework.
- Exam-type : Quartz: SiO₂ network.
Reasoning: why 3c–2e bonds in B₂H₆?
- Step 1: Total electrons = 2×3 + 6×1 = 12.
- Step 2: Eight normal bonds would need 16 electrons.
- Step 3: 12 electrons ⇒ 4 terminal (8 e⁻) + 2 bridges (4 e⁻) as 3c–2e.
CET level (MCQ)
- CET 1) Shape of NH₃? 1) planar 2) linear 3) pyramidal 4) tetrahedral — Answer: 3).
- CET 2) 3c–2e bonds in B₂H₆? 1) 1 2) 2 3) 4 4) 6 — Answer: 2).
Real-life use: Boric acid antiseptic, silica gel, zeolites.
BF₃ 120° sp²; NH₃ 107° sp³; B₂H₆: 4 terminal + 2 bridges.
Treating all B₂H₆ bonds as normal.
H₃BO₃ does not donate H⁺; it accepts OH⁻ (Lewis acid).
Memory clue: "BF₃ flat, NH₃ pyramid".
Spot the difference
| Compound | Hybridisation | Shape |
|---|---|---|
| BF₃ | sp² | trigonal planar |
| NH₃ | sp³ | pyramidal |
| SiCl₄ | sp³ | tetrahedral |
| PCl₅ | sp³d | bipyramidal |
Practice questions
- 1Electrons in B₂H₆?
- 2What is a 3c–2e bond?
- 3Why is BF₃ a Lewis acid?
- 4Why is NH₃ 107°?
- 5How is H₃BO₃ acidic?
- 6Shape of PCl₅?
- 7Structure of SiO₂?
- 8Shape of [BF₄]⁻?
Show answers (try them yourself first)
- 112.
- 2A bond of 2 electrons over 3 atoms.
- 3Incomplete octet.
- 4Lone-pair repulsion.
- 5By accepting OH⁻.
- 6Trigonal bipyramidal.
- 7A 3-D network.
- 8Tetrahedral.
Borax and silicones
Borax in glass and jewellery work; silicones in waterproof sprays, sealants and baking moulds.
Borax Na₂B₄O₇·10H₂O (M ≈ 381). Silicones: –[R₂Si–O]ₙ– polymers, R = CH₃.
In the figure : Borax and silicones.
Rule 1: Heating borax — Na₂B₄O₇·10H₂O → (heat) Na₂B₄O₇ → 2NaBO₂ + B₂O₃ (glassy bead). Ion [B₄O₅(OH)₄]²⁻; aqueous solution is alkaline (Na₂B₄O₇ + 7H₂O → 2NaOH + 4H₃BO₃).
- Easy : 38.1 g borax = 0.1 mol.
- Medium : Anhydrous 20.1 g; B₂O₃ 6.96 g.
- Exam-type : Water lost: 18 g.
Rule 2: Borax bead test — B₂O₃ + CuO → Cu(BO₂)₂ (blue); Cr → green; Co → deep blue; Mn → violet; Fe → yellow-brown; Ni → brown.
- Easy : Cu: blue.
- Medium : Co: deep blue.
- Exam-type : Cr: green.
Rule 3: Silicones — (CH₃)₂SiCl₂ + 2H₂O → (CH₃)₂Si(OH)₂ → –[Si(CH₃)₂O]ₙ– + H₂O. (CH₃)₃SiCl stops the chain; CH₃SiCl₃ makes cross-links. Water-repellent, heat-stable and inert.
- Easy : Lubricants, sealants.
- Medium : Medical implants.
- Exam-type : Si–O–Si chain.
Calculation: B₂O₃ from heating 38.1 g borax
- Step 1: M ≈ 381 ⇒ n = 38.1 ÷ 381 = 0.1 mol.
- Step 2: 1 mol borax ⇒ 1 mol B₂O₃.
- Step 3: M(B₂O₃) = 69.6 ⇒ 0.1 × 69.6 = 6.96 g.
CET level (MCQ)
- CET 1) Formula of borax? 1) Na₂B₄O₇·10H₂O 2) Na₂BO₃ 3) H₃BO₃ 4) B₂O₃ — Answer: 1).
- CET 2) Monomer of silicone? 1) (CH₃)₂SiCl₂ 2) SiCl₄ 3) CH₃SiH₃ 4) SiO₂ — Answer: 1).
Real-life use: Glass, jewellery flux, waterproofing.
Borax M ≈ 381; bead: Cu blue; silicone = Si–O chain.
Calling silicone SiO₂; it is an organosilicon polymer.
Borax solution is alkaline, not acidic.
Memory clue: "Cu-blue, Cr-green, Co-deep blue".
Spot the difference
| Item | Borax | Silicone |
|---|---|---|
| Type | salt | polymer |
| Property | alkaline solution | water-repellent |
Practice questions
- 1Formula of borax?
- 2What is the borax bead test for?
- 3How are silicones made?
- 4Role of (CH₃)₃SiCl?
- 5B₂O₃ from 38.1 g borax?
- 6Why is borax solution alkaline?
- 7Bead colour of Co?
- 8Two uses of silicones.
Show answers (try them yourself first)
- 1Na₂B₄O₇·10H₂O.
- 2To identify metal radicals.
- 3Hydrolysis and condensation of (CH₃)₂SiCl₂.
- 4Chain stopper.
- 56.96 g.
- 6Hydrolysis gives NaOH.
- 7Deep blue.
- 8Lubricants and sealants.
Ammonia: Haber process and properties
Urea fertiliser and household cleaner both come from ammonia.
Ammonia NH₃: pungent, very soluble gas, weak base; N₂ + 3H₂ ⇌ 2NH₃ (Haber), ΔH = −92 kJ.
In the figure : Haber process.
Ammonia: Haber process and properties
In the app you can move this figure with your finger.
Open in the appRule 1: Haber process — About 700 K, 200 atm, iron oxide catalyst (with a little K₂O and Al₂O₃). Le Chatelier: high pressure and moderate temperature; the catalyst speeds up but does not shift equilibrium.
- Easy : 5.6 g N₂ ⇒ 6.8 g NH₃.
- Medium : 56 g N₂ ⇒ 68 g NH₃.
- Exam-type : 1 mol N₂ + 3 mol H₂ ⇒ 2 mol NH₃.
Rule 2: Properties — NH₃ + H₂O ⇌ NH₄⁺ + OH⁻; Lewis base (lone pair); with Cu²⁺ gives deep-blue [Cu(NH₃)₄]²⁺; dissolves AgCl; excess Cl₂ ⇒ NCl₃, limited Cl₂ ⇒ N₂.
- Easy : Cu²⁺ + 4NH₃ → [Cu(NH₃)₄]²⁺.
- Medium : AgCl + 2NH₃ → [Ag(NH₃)₂]Cl.
- Exam-type : HCl gives white fumes of NH₄Cl.
Rule 3: Laboratory and uses — 2NH₄Cl + Ca(OH)₂ → CaCl₂ + 2H₂O + 2NH₃; dry with CaO (not H₂SO₄ or CaCl₂). Uses: fertilisers, HNO₃ (Ostwald), refrigerant.
- Easy : 4NH₃ + 5O₂ → 4NO + 6H₂O (Pt).
- Medium : 17 g NH₃ ⇒ 30 g NO.
- Exam-type : Urea fertiliser.
Calculation: NH₃ from 5.6 g N₂ (100 % yield)
- Step 1: n(N₂) = 5.6 ÷ 28 = 0.2 mol.
- Step 2: 1 : 2 ⇒ NH₃ = 0.4 mol.
- Step 3: 0.4 × 17 = 6.8 g.
CET level (MCQ)
- CET 1) Catalyst in the Haber process? 1) Pt 2) Fe 3) Ni 4) V₂O₅ — Answer: 2).
- CET 2) To dry NH₃? 1) H₂SO₄ 2) CaCl₂ 3) CaO 4) P₄O₁₀ — Answer: 3).
Real-life use: Fertilisers, nitric acid, refrigeration, cleaners.
700 K, 200 atm, iron oxide; dry with CaO; [Cu(NH₃)₄]²⁺ deep blue.
Drying ammonia with H₂SO₄.
High temperature lowers yield because the reaction is exothermic.
Memory clue: "high pressure, moderate temperature".
Spot the difference
| Item | Haber | Ostwald |
|---|---|---|
| Product | NH₃ | HNO₃ |
| Catalyst | Fe | Pt |
Practice questions
- 1Conditions of Haber process.
- 2Why high pressure?
- 3How is NH₃ dried?
- 4NH₃ from 5.6 g N₂?
- 5Why is NH₃ a base?
- 6Colour with Cu²⁺?
- 7NO from 17 g NH₃?
- 8Uses of NH₃.
Show answers (try them yourself first)
- 1700 K, 200 atm, Fe.
- 2Fewer moles of gas.
- 3With CaO.
- 46.8 g.
- 5A lone pair.
- 6Deep blue.
- 730 g.
- 8Fertilisers, HNO₃, refrigeration.
Quick revision of the whole lesson
| Concept | Key formula / fact |
|---|---|
| Groups 13/14/15 | np¹ / np² / np³ |
| Highest IE₁ | N 1402 kJ/mol |
| Inert pair | Tl +1, Pb +2, Bi +3 |
| Oxides | acidic → basic |
| Carbon | diamond sp³, graphite sp² |
| B₂H₆ | 4 terminal + 2 bridges |
| Borax | M ≈ 381 |
| Haber | 700 K, 200 atm, Fe |
🚀 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
- p-block trends.
- Inert pair.
- Oxide nature.
- Allotropy.
- Structures.
- Borax and silicones.
- Ammonia.
understand the idea → remember the formula → solve the example → solve problems yourself.