By the end of this chapter you'll be able to…

  • 1Apply the mole concept to stoichiometric calculations: find limiting reagents, calculate percentage yield, and interconvert mass, moles, volume, and number of particles
  • 2Use quantum numbers and the Aufbau/Pauli/Hund rules to write electronic configurations; explain periodicity of properties from atomic structure
  • 3Predict molecular geometry using VSEPR theory; explain hybridisation (sp, sp², sp³, sp³d, sp³d²) and molecular orbital theory; identify hydrogen bonding
  • 4Apply thermodynamic functions (ΔH, ΔG, ΔS) to predict spontaneity; use Le Chatelier's principle, pH calculations, and Ksp to analyse equilibrium systems
  • 5Name organic compounds using IUPAC rules; identify structural and stereoisomers; classify reaction mechanisms (nucleophilic/electrophilic, SN1/SN2, free radical); predict products of alkene addition using Markovnikov's rule
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Why this chapter matters
ISC Class 11 Chemistry lays the theoretical bedrock for all of Class 12. The mole concept and stoichiometry underpin every quantitative chemistry calculation at Class 12. Atomic structure (quantum numbers, Aufbau, Pauli, Hund's rules) determines electronic configuration which directly drives chemical bonding and reactivity. Chemical bonding (VSEPR, hybridisation, MOT) explains molecular geometry tested at JEE and NEET. Thermodynamics (ΔG = ΔH − TΔS) and equilibrium (Le Chatelier, pH, Ksp) are foundational for Class 12 electrochemistry and kinetics. Organic chemistry fundamentals — IUPAC nomenclature, isomerism, electronic effects, reaction mechanisms — are the gateway to Class 12's organic reactions.

Before you start — revise these

A 5-minute refresher here will save you 30 minutes of confusion below.

Chemistry — Physical, Inorganic & Organic

1. Some Basic Concepts

Mole Concept

1 mole = 6.022 × 10²³ particles (Avogadro's Number). Moles = Mass / Molar Mass. Moles = Volume at STP / 22.4 L.

Empirical vs Molecular Formula

  • Empirical: Simplest WHOLE-NUMBER ratio. Molecular: ACTUAL number of atoms = n × Empirical.
  • n = Molecular mass / Empirical formula mass.

Stoichiometry — Limiting Reagent

The reactant that gets CONSUMED FIRST limits the amount of product.

Concentration Terms

Molarity (M) = moles/L. Molality (m) = moles/kg solvent. Mass %, ppm.


2. Atomic Structure

Historical Models

  • Dalton (atoms are indivisible). Thomson (plum pudding). Rutherford (nucleus — gold foil experiment). Bohr (fixed orbits — works only for H).

Quantum Mechanical Model

  • Electrons exist in ORBITALS — regions of probability. Described by 4 QUANTUM NUMBERS:
    • n (principal — shell). l (azimuthal — subshell: s=0, p=1, d=2, f=3). mₗ (magnetic — orientation). mₛ (spin — +½ or −½).
  • Pauli Exclusion Principle: No two electrons can have the SAME set of 4 quantum numbers.
  • Hund's Rule: Electrons fill DEGENERATE orbitals SINGLY before pairing.
  • Aufbau Principle: Electrons fill orbitals from LOWEST to HIGHEST energy (1s→2s→2p→3s→3p→4s→3d...).

3. Chemical Bonding

Ionic Bond

Electron TRANSFER. Metal + Non-metal. NaCl. Lattice energy.

Covalent Bond — Lewis Theory

Electron SHARING. Octet rule. Lewis structures. Formal charge.

VSEPR Theory

Electron pairs REPEL. Shapes: Linear (CO₂ — 180°). Trigonal planar (BF₃ — 120°). Tetrahedral (CH₄ — 109.5°). Pyramidal (NH₃ — 107°). Bent (H₂O — 104.5°).

Valence Bond Theory — Hybridisation

HybridisationShapeExample
spLinearBeCl₂, C₂H₂
sp²Trigonal planarBF₃, C₂H₄
sp³TetrahedralCH₄, NH₃, H₂O
sp³dTrigonal bipyramidalPCl₅
sp³d²OctahedralSF₆

Molecular Orbital Theory (MOT)

Atomic orbitals combine → Bonding (σ) and Antibonding (σ*). Bond order = (Nb − Na)/2. If bond order > 0 → stable.

Hydrogen Bonding

Attraction between H (attached to N, O, F) and lone pair on another N, O, F. Explains: high BP of H₂O, HF. DNA structure.


4. States of Matter

Gas Laws

  • Boyle's Law: PV = constant (T constant). Charles' Law: V/T = constant (P constant).
  • Ideal Gas Equation: PV = nRT. R = 8.314 J/mol·K.
  • Dalton's Law: P_total = P₁ + P₂ + P₃...

Real Gases — Deviations from ideality. Van der Waals equation: (P + an²/V²)(V − nb) = nRT.


5. Thermodynamics

First Law: ΔU = q + w (q = heat added. w = work done ON system). For expansion: w = −PΔV.

Enthalpy: H = U + PV. ΔH = ΔU + ΔnRT. ΔH negative = EXOthermic. ΔH positive = ENDOthermic.

Entropy (S) — Measure of DISORDER. Second Law: ΔS_universe ≥ 0.

Gibbs Free Energy: ΔG = ΔH − TΔS. ΔG < 0 → SPONTANEOUS. ΔG = 0 → EQUILIBRIUM.


6. Equilibrium

Chemical Equilibrium — K = [products]ⁿ/[reactants]ᵐ. K depends ONLY on TEMPERATURE.

Le Chatelier's Principle: 'If a system at equilibrium is disturbed, it shifts to REDUCE the disturbance.'

Ionic Equilibrium

  • pH = −log[H⁺]. Acidic: pH<7. Neutral: pH=7. Basic: pH>7.
  • Buffer solutions: Resist pH change. Common ion effect. Solubility product (K_sp).

7. Redox Reactions

  • Oxidation: Loss of electrons. Reduction: Gain of electrons.
  • Oxidation Number: Rules. Balancing redox by oxidation number method and half-reaction method.

8. Hydrogen and s-Block Elements

Hydrogen — Unique position. Isotopes (Protium, Deuterium, Tritium). Water — 'Universal Solvent.' Hard vs Soft water.


9. Organic Chemistry — Fundamentals

Classification

  • Aliphatic (open chain). Alicyclic (closed, non-aromatic). Aromatic (benzene ring).

IUPAC Nomenclature

Prefix + Root + Suffix. Root = number of carbons (meth, eth, prop, but, pent, hex...). Functional group suffix.

Isomerism

  • Structural: Chain. Position. Functional group.
  • Stereoisomerism: Geometric (cis/trans — restricted rotation). Optical (chiral centre — rotates plane-polarised light).

Electronic Effects

  • Inductive Effect (±I): Electron shift through σ bonds.
  • Resonance (±R/M): Delocalisation of π electrons.
  • Hyperconjugation: σ-π conjugation.

Reaction Mechanisms — Organic reactions involve: Bond breaking (HOMOLYTIC → radicals. HETEROLYTIC → ions). Attack by NUCLEOPHILE (electron-rich — attacks positive centre) or ELECTROPHILE (electron-poor — attacks negative centre).

Hydrocarbons

  • Alkanes: CₙH₂ₙ₊₂. Saturated. Combustion. Halogenation (free radical substitution).
  • Alkenes: CₙH₂ₙ. Contains C=C. Electrophilic addition. Markovnikov's Rule.
  • Alkynes: CₙH₂ₙ₋₂. Contains C≡C.
  • Aromatic Hydrocarbons: Benzene (C₆H₆). Electrophilic substitution. Delocalised π cloud. Resonance energy.

Key formulas & results

Everything you need to memorise, in one card. Screenshot this for revision.

Mole Concept and Stoichiometry
1 mole = 6.022 × 10²³ particles (Avogadro's Number, Nₐ). Moles = Mass (g) / Molar Mass (g/mol). Moles = Volume at STP / 22.4 L. Molarity (M) = moles of solute / litres of solution. Molality (m) = moles of solute / kg of solvent. Empirical formula: simplest whole-number ratio of atoms. Molecular formula = n × Empirical, where n = Molecular Mass / Empirical Formula Mass. LIMITING REAGENT: the reactant consumed first; determines maximum product. % yield = (actual yield / theoretical yield) × 100.
For problems: convert EVERYTHING to moles first. Then use mole ratio from balanced equation. Convert back to mass or volume at the end. Molality (m) is used for colligative properties; molarity (M) for most other calculations.
Atomic Structure — Quantum Numbers and Electronic Configuration
4 Quantum Numbers: n (principal, 1,2,3... → shell), l (azimuthal, 0 to n-1 → subshell: s=0, p=1, d=2, f=3), mₗ (magnetic, −l to +l → orbital orientation), mₛ (spin, +½ or −½). RULES: Aufbau: fill from lowest energy (1s→2s→2p→3s→3p→4s→3d...). Pauli Exclusion: no two electrons have same set of 4 quantum numbers — max 2 electrons per orbital (opposite spins). Hund's Rule: fill degenerate orbitals singly before pairing. Capacity: s=2, p=6, d=10, f=14 electrons.
Exceptions to Aufbau: Cr (3d⁵4s¹) and Cu (3d¹⁰4s¹) — half-filled and fully-filled d subshells are extra stable. In ISC exams, write configuration as shorthand e.g. Fe: [Ar] 3d⁶ 4s² = 1s²2s²2p⁶3s²3p⁶3d⁶4s².
Chemical Bonding — VSEPR and Hybridisation
VSEPR SHAPES: Linear = 2 bond pairs, 0 lone pairs (CO₂, BeCl₂ — 180°). Trigonal planar = 3bp, 0lp (BF₃ — 120°). Tetrahedral = 4bp, 0lp (CH₄ — 109.5°). Pyramidal = 3bp, 1lp (NH₃ — 107°). Bent = 2bp, 2lp (H₂O — 104.5°). Lone pairs REDUCE bond angle. HYBRIDISATION: sp = linear (BeCl₂, C₂H₂). sp² = trigonal planar (BF₃, C₂H₄). sp³ = tetrahedral (CH₄, NH₃, H₂O). sp³d = trigonal bipyramidal (PCl₅). sp³d² = octahedral (SF₆). MOT: Bond order = (Nb − Na)/2. Bond order > 0 → stable molecule. O₂ has bond order 2 and is paramagnetic (2 unpaired electrons).
HYDROGEN BONDING: between H (attached to N, O, or F) and lone pair on another N, O, or F. Explains: high boiling point of H₂O (100°C vs −80°C expected), high BP of HF, ice being less dense than water (open cage structure), and DNA double helix stability.
Thermodynamics and Equilibrium
FIRST LAW: ΔU = q + w. For expansion: w = −PΔV. ENTHALPY: ΔH = ΔU + ΔnRT. ΔH < 0 = exothermic. ΔH > 0 = endothermic. SECOND LAW: ΔS_universe ≥ 0. GIBBS FREE ENERGY: ΔG = ΔH − TΔS. ΔG < 0 → spontaneous. ΔG = 0 → equilibrium. ΔG > 0 → non-spontaneous. EQUILIBRIUM: Kc = [products]/[reactants] (ratio of molar concentrations, each raised to stoichiometric power). K depends ONLY on temperature. Le Chatelier: 'If equilibrium is disturbed, system shifts to OPPOSE the disturbance.' pH = −log[H⁺]. pOH = −log[OH⁻]. pH + pOH = 14 at 25°C. Kw = [H⁺][OH⁻] = 10⁻¹⁴ at 25°C.
ΔG = ΔH − TΔS decision table: (−ΔH, +ΔS) → always spontaneous. (+ΔH, −ΔS) → never spontaneous. (−ΔH, −ΔS) → spontaneous at low T. (+ΔH, +ΔS) → spontaneous at high T.
Organic Chemistry — Nomenclature, Isomerism, Mechanisms
IUPAC NAME: Prefix + Root (meth/eth/prop/but/pent/hex...) + Suffix (functional group). Root = longest chain with principal functional group. Number from end nearer to substituent/FG. ISOMERISM: Structural (chain, position, functional group isomers). Stereoisomerism: Geometric (cis/trans — restricted rotation around C=C; cis = same side, trans = opposite). Optical (chiral centre = 4 different groups on C; enantiomers rotate plane-polarised light in opposite directions). MECHANISMS: Electrophilic addition to alkenes — Markovnikov's Rule: H adds to C with MORE H (the more stable carbocation forms). Free radical substitution (alkanes + Cl₂/UV): initiation → propagation → termination. Nucleophile attacks δ+ carbon. Electrophile attacks δ− carbon or π bond.
Electronic effects: Inductive effect (I) = electron shift through sigma bonds (−I groups: halogens, NO₂ pull electrons; +I: alkyl groups push). Resonance (R/M) = delocalisation of π electrons — explains benzene stability and acidity of carboxylic acids. Hyperconjugation = stabilisation of carbocations by adjacent C−H sigma bonds.
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Common mistakes & fixes

These are the exact errors that cost students marks in board exams. Read them once, save yourself the trouble.

WATCH OUT
Using molarity instead of molality in colligative property calculations
Colligative properties (boiling point elevation, freezing point depression) use MOLALITY (moles/kg solvent) because it is temperature-independent. Osmotic pressure uses MOLARITY (moles/litre solution). In ISC problems: if the question involves ΔTb or ΔTf, convert to molality. If it says π = CRT, use molarity. This distinction costs marks when confused.
WATCH OUT
Writing electronic configuration of transition metals incorrectly (e.g., Fe as [Ar]4s²3d⁶ in the wrong order)
Write the configuration in order of increasing n: [Ar]3d⁶4s². After the noble gas shorthand, list subshells in n order. Also note EXCEPTIONS: Cr is [Ar]3d⁵4s¹ (not 3d⁴4s²), Cu is [Ar]3d¹⁰4s¹ (not 3d⁹4s²) — because half-filled and fully-filled d subshells are extra stable. ISC examiners specifically test these exceptions.
WATCH OUT
Applying Markovnikov's rule to free radical addition reactions
Markovnikov's rule applies only to IONIC (electrophilic) addition reactions — the H adds to the carbon that already has MORE hydrogens, forming the more stable carbocation intermediate. In FREE RADICAL addition (using peroxides or UV light), the product is ANTI-Markovnikov — the radical adds to give the more stable radical, which has the radical on the carbon with more substituents. For ISC: if no peroxides/UV mentioned, apply Markovnikov's rule.

Practice problems

Try each one yourself before tapping "Show solution". Active recall > rereading.

Q1EASY· mole-concept
How many molecules are present in 9 g of water? (Molar mass of H₂O = 18 g/mol, Avogadro's number = 6.022 × 10²³)
Show solution
Moles of H₂O = mass / molar mass = 9 / 18 = 0.5 mol. Number of molecules = moles × Avogadro's number = 0.5 × 6.022 × 10²³ = 3.011 × 10²³ molecules. Answer: 3.011 × 10²³ molecules of water are present in 9 g of water.
Q2MEDIUM· chemical-bonding
Explain why H₂O has a bond angle of 104.5° while CH₄ has a bond angle of 109.5°, even though both have sp³ hybridised central atoms.
Show solution
Both O in H₂O and C in CH₄ undergo sp³ hybridisation — giving four electron pairs arranged tetrahedrally. In CH₄: all 4 pairs are BOND PAIRS (4 C–H bonds). Bond pairs repel each other equally. The bond angle = ideal tetrahedral angle of 109.5°. In H₂O: only 2 bond pairs (O–H bonds) but 2 LONE PAIRS on the oxygen. According to VSEPR theory, LONE PAIR–LONE PAIR repulsion > LONE PAIR–BOND PAIR repulsion > BOND PAIR–BOND PAIR repulsion. The two lone pairs on O exert greater repulsion than bond pairs, COMPRESSING the H–O–H bond angle from 109.5° to 104.5°. Similarly, NH₃ has one lone pair → bond angle 107° (between 109.5° and 104.5°).
Q3HARD· thermodynamics
A reaction has ΔH = +150 kJ/mol and ΔS = +400 J/mol·K. (a) At what temperature does the reaction become spontaneous? (b) Is the reaction spontaneous at 298 K?
Show solution
(a) Spontaneity condition: ΔG = ΔH − TΔS < 0. For spontaneity: T > ΔH/ΔS. Converting units: ΔH = 150,000 J/mol (note: must use consistent units). T > 150,000 / 400 = 375 K. The reaction becomes spontaneous above 375 K. (b) At T = 298 K: ΔG = 150,000 − (298 × 400) = 150,000 − 119,200 = +30,800 J/mol = +30.8 kJ/mol. Since ΔG > 0 at 298 K, the reaction is NOT spontaneous at room temperature. This is a case of (+ΔH, +ΔS): spontaneous only at HIGH temperatures (above 375 K).

5-minute revision

The whole chapter, distilled. Read this the night before the exam.

  • 1 mole = 6.022 × 10²³ particles. Moles = mass/molar mass = volume at STP/22.4 L.
  • Limiting reagent = reactant consumed first. % yield = (actual/theoretical) × 100.
  • Quantum numbers: n (shell), l (subshell, 0=s to n-1), mₗ (orbital), mₛ (spin ±½).
  • Aufbau: 1s→2s→2p→3s→3p→4s→3d. Exceptions: Cr (3d⁵4s¹), Cu (3d¹⁰4s¹).
  • VSEPR: Lone pairs compress bond angles. H₂O = 104.5°, NH₃ = 107°, CH₄ = 109.5°.
  • Hybridisation: sp=linear, sp²=trigonal planar, sp³=tetrahedral, sp³d=trigonal bipyramidal, sp³d²=octahedral.
  • ΔG = ΔH − TΔS. ΔG<0 = spontaneous. Kc depends only on temperature.
  • Le Chatelier: system shifts to oppose disturbance. Increasing pressure favours fewer moles of gas.
  • pH = −log[H⁺]. pH + pOH = 14. Kw = 10⁻¹⁴ at 25°C.
  • Markovnikov's rule: H adds to C with more H (ionic addition). Anti-Markovnikov: free radical conditions (peroxides/UV).

ICSE marks blueprint

Where the marks come from in this chapter — so you can plan your prep.

Where this shows up in the real world

This chapter isn't just an exam topic — it lives in the world around you.

Going beyond the textbook

For olympiad aspirants and curious learners — topics that build on this chapter.

  • Research Molecular Orbital (MO) Theory beyond VSEPR — MO theory explains paramagnetism of O₂ (which Lewis structures cannot), bond orders in N₂ vs O₂, and the stability of conjugated systems like benzene. Investigate sigma and pi molecular orbitals, bonding vs antibonding orbitals, and how MO theory predicts colour and reactivity.
  • Explore the kinetic vs thermodynamic control of reactions — some reactions form different products at low vs high temperatures. Markovnikov vs anti-Markovnikov addition is one example. Research how this principle is exploited in industrial chemistry to selectively produce desired isomers.
  • Investigate the development of the periodic table beyond Mendeleev — modern long-form periodic tables, the position of hydrogen (sometimes shown with both Group 1 and 17), and the predicted properties of the synthetic super-heavy elements (113-118). The 8th period is theoretically possible — what would it look like?
  • Research the Curtin-Hammett principle and stereochemistry of organic reactions — when a reaction proceeds through two interconverting intermediates, the product ratio depends on the relative free energies of the transition states, NOT the intermediates. This subtle principle is essential for olympiad-level organic mechanism problems.

Where else this chapter is tested

CBSE board isn't the only one — other exams test this chapter too.

Questions students ask

The real ones — pulled from the Q&A community and tutor sessions.

EMPIRICAL FORMULA gives the SIMPLEST WHOLE-NUMBER RATIO of atoms in a compound. MOLECULAR FORMULA gives the ACTUAL NUMBER of atoms of each element in one molecule. Relationship: Molecular formula = n × Empirical formula, where n = Molecular mass / Empirical formula mass. Example: Glucose — empirical formula = CH₂O (ratio C:H:O = 1:2:1). Molecular mass = 180, empirical formula mass = 30, so n = 6. Molecular formula = C₆H₁₂O₆. Another example: Hydrogen peroxide — empirical formula = HO; molecular formula = H₂O₂ (n=2).

Water molecules form HYDROGEN BONDS between the O of one molecule and the H of adjacent molecules. In LIQUID WATER, these bonds are dynamic — continuously forming and breaking — so molecules pack relatively closely. In ICE, hydrogen bonds form a RIGID OPEN LATTICE (hexagonal cage structure) in which each water molecule is hydrogen-bonded to exactly 4 others at fixed positions. This open cage structure has MORE EMPTY SPACE than liquid water — so ice occupies MORE VOLUME (is LESS DENSE) than liquid water. Since ice is less dense than water, it FLOATS. This anomalous property is biologically critical — it means lakes freeze from the top, insulating the water below and allowing aquatic life to survive winter.
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