University: Tribhuvan University
Course: Basic Chemistry I
Course No.: CHE-101
Full Marks: 100
Pass Marks: 35
Nature: Theory
Note: Practical Chemistry I (CHE-102) is not included here.
1. Atomic Structure
1.1 Fundamental Particles
| Particle |
Charge |
Relative Mass |
Location |
| Electron |
−1 |
1/1836 |
Outside nucleus |
| Proton |
+1 |
1 |
Nucleus |
| Neutron |
0 |
1 |
Nucleus |
1.2 Rutherford Nuclear Model
Rutherford proposed that an atom contains a small, dense, positively
charged nucleus surrounded by electrons and that most of the atomic
volume is empty space.
1.3 Bohr's Atomic Model
- Electrons move in permitted stationary orbits.
- Each orbit has definite energy.
- Electrons do not radiate energy while in a stationary orbit.
- Energy is absorbed or emitted when an electron changes orbit.
ΔE = E₂ − E₁ = hν
1.4 de Broglie Equation
λ = h / mv
where:
λ = wavelength
h = Planck constant
m = mass
v = velocity
1.5 Heisenberg Uncertainty Principle
Δx × Δp ≥ h / 4π
It is impossible to determine simultaneously the exact position
and exact momentum of a microscopic particle.
1.6 Quantum Numbers
| Quantum number |
Symbol |
Meaning |
| Principal |
n |
Shell and approximate energy |
| Azimuthal |
l |
Subshell and orbital shape |
| Magnetic |
m |
Orientation of orbital |
| Spin |
s |
Electron spin |
1.7 Aufbau Principle
Electrons occupy orbitals in order of increasing energy.
1s
↓
2s
↓
2p
↓
3s
↓
3p
↓
4s
↓
3d
↓
4p
↓
5s
↓
4d
↓
5p
1.8 Hund's Rule
Degenerate orbitals are singly occupied with parallel spins before
pairing occurs.
1.9 Pauli Exclusion Principle
No two electrons in an atom can possess the same set of four
quantum numbers.
Exam focus:
Explain Bohr's model, derive the de Broglie equation, explain
quantum numbers, and discuss Heisenberg uncertainty principle.
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2. Nuclear Chemistry
2.1 Radioactivity
Radioactivity is the spontaneous disintegration of unstable atomic
nuclei accompanied by emission of radiation.
2.2 Alpha Decay
²³⁸₉₂U → ²³⁴₉₀Th + ⁴₂He
2.3 Beta Decay
n → p + e⁻ + ν̄
2.4 Gamma Emission
Gamma emission involves release of high-energy electromagnetic
radiation from an excited nucleus without changing atomic or mass
number.
2.5 Radioactive Decay Law
N = N₀e⁻ᵏᵗ
ln(N₀/N) = kt
t½ = 0.693/k
2.6 Nuclear Fission
A heavy nucleus splits into smaller nuclei with release of energy
and neutrons.
2.7 Nuclear Fusion
Two light nuclei combine to form a heavier nucleus with release
of very large amounts of energy.
Applications of Radioisotopes
- Medical diagnosis
- Cancer treatment
- Tracer studies
- Age determination
- Industrial thickness measurement
- Agricultural research
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3. Periodic Classification and Periodic Properties
3.1 Modern Periodic Law
The physical and chemical properties of elements are periodic
functions of their atomic numbers.
3.2 Atomic Radius
Atomic radius generally decreases from left to right across a
period because effective nuclear charge increases.
Atomic radius increases down a group because additional electron
shells are added.
3.3 Ionization Energy
Ionization energy is the minimum energy required to remove the most
loosely bound electron from an isolated gaseous atom.
It generally increases across a period and decreases down a group.
3.4 Electron Affinity
Electron affinity refers to the energy change when an electron is
added to a gaseous atom.
3.5 Electronegativity
Electronegativity is the tendency of an atom in a molecule to
attract the shared electron pair toward itself.
3.6 Effective Nuclear Charge
Zeff ≈ Z − shielding effect
3.7 Periodic Trends
| Property |
Across period |
Down group |
| Atomic radius |
Decreases |
Increases |
| Ionization energy |
Generally increases |
Decreases |
| Electronegativity |
Generally increases |
Decreases |
| Metallic character |
Decreases |
Increases |
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4. Chemical Bonding
4.1 Ionic Bond
An ionic bond results from electrostatic attraction between
oppositely charged ions.
Na → Na⁺ + e⁻
Cl + e⁻ → Cl⁻
Na⁺ + Cl⁻ → NaCl
4.2 Covalent Bond
A covalent bond is formed by sharing of electron pairs between
atoms.
4.3 Lewis Concept
Lewis structures represent valence electrons and bonding electron
pairs around atoms.
4.4 VSEPR Theory
Electron pairs around a central atom arrange themselves to minimize
electron-pair repulsion.
| Species |
Approximate geometry |
| BeCl₂ |
Linear |
| BF₃ |
Trigonal planar |
| CH₄ |
Tetrahedral |
| NH₃ |
Trigonal pyramidal |
| H₂O |
Bent |
4.5 Hybridization
| Hybridization |
Geometry |
Example |
| sp |
Linear |
BeCl₂ |
| sp² |
Trigonal planar |
BF₃ |
| sp³ |
Tetrahedral |
CH₄ |
| sp³d |
Trigonal bipyramidal |
PCl₅ |
| sp³d² |
Octahedral |
SF₆ |
4.6 Molecular Orbital Theory
Atomic orbitals combine to form bonding and antibonding molecular
orbitals.
Bond order = 1/2 (Nb − Na)
Nb = electrons in bonding molecular orbitals
Na = electrons in antibonding molecular orbitals
4.7 Hydrogen Bonding
Hydrogen bonding occurs when hydrogen bonded to a highly
electronegative atom interacts with a lone pair on another
electronegative atom.
Examples include H₂O, HF and NH₃.
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5. Acids, Bases and Buffers
5.1 Arrhenius Concept
An Arrhenius acid produces H⁺ in aqueous solution, while an
Arrhenius base produces OH⁻.
5.2 Brønsted-Lowry Concept
An acid is a proton donor and a base is a proton acceptor.
HCl + H₂O → H₃O⁺ + Cl⁻
NH₃ + H₂O ⇌ NH₄⁺ + OH⁻
5.3 Lewis Concept
A Lewis acid accepts an electron pair and a Lewis base donates an
electron pair.
BF₃ + :NH₃ → F₃B←NH₃
5.4 pH
pH = −log[H⁺]
pOH = −log[OH⁻]
pH + pOH = 14 at 25°C
5.5 Buffer Solution
A buffer resists significant change in pH when small quantities of
acid or base are added.
Acidic Buffer
Weak acid + its salt with a strong base.
pH = pKa + log([salt]/[acid])
Basic Buffer
Weak base + its salt with a strong acid.
pOH = pKb + log([salt]/[base])
Common Ion Effect
Suppression of ionization of a weak electrolyte by addition of a
strong electrolyte containing a common ion.
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6. Principles of Qualitative and Quantitative Analysis
6.1 Qualitative Analysis
Qualitative analysis identifies the ions or chemical species
present in a sample.
6.2 Quantitative Analysis
Quantitative analysis determines the amount or concentration of
a substance.
6.3 Gravimetric Analysis
Sample
↓
Precipitation
↓
Filtration
↓
Washing
↓
Drying / Ignition
↓
Weighing
↓
Calculation
6.4 Volumetric Analysis
Volumetric analysis determines the concentration of an analyte by
measuring the volume of a standard solution required for reaction.
M₁V₁ / n₁ = M₂V₂ / n₂
6.5 Acid-Base Titration
HCl + NaOH → NaCl + H₂O
6.6 Oxidation-Reduction Titration
Redox titration is based on electron transfer between oxidizing
and reducing agents.
6.7 Indicators
- Phenolphthalein
- Methyl orange
- Starch
- Redox indicators
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7. Structure and Properties of Organic Compounds
7.1 Classification
- Open-chain compounds
- Closed-chain compounds
- Aromatic compounds
- Heterocyclic compounds
7.2 Functional Groups
| Functional group |
Class |
| −OH |
Alcohol |
| −CHO |
Aldehyde |
| >C=O |
Ketone |
| −COOH |
Carboxylic acid |
| −NH₂ |
Amine |
| −X |
Halo compound |
7.3 Homologous Series
A homologous series is a family of organic compounds having the
same functional group and general formula, with successive members
differing by −CH₂−.
7.4 Electrophiles and Nucleophiles
Electrophile: electron-deficient species that
accepts an electron pair.
Nucleophile: electron-rich species that donates
an electron pair to an electrophile.
Examples
| Electrophiles |
Nucleophiles |
| H⁺ |
OH⁻ |
| NO₂⁺ |
CN⁻ |
| BF₃ |
NH₃ |
| Carbocations |
RO⁻ |
7.5 Inductive Effect
The inductive effect is the permanent displacement of sigma
electron density caused by electronegativity differences.
Electron-withdrawing groups show −I effect while alkyl groups
generally show +I effect.
7.6 Resonance
Resonance occurs when a molecule cannot be represented adequately
by a single Lewis structure and is represented by contributing
structures.
O₃ ↔ resonance hybrid
In aromatic systems:
π electrons are delocalized over the conjugated framework.
7.7 Hyperconjugation
Hyperconjugation is delocalization involving a σ bond, commonly a
C−H bond adjacent to a π system or positively charged carbon.
7.8 Carbocation Stability
Benzylic / allylic > 3° > 2° > 1° > methyl
Resonance stabilization makes benzylic and allylic carbocations
particularly stable.
7.9 Free Radical Stability
Benzylic / allylic > 3° > 2° > 1° > methyl
Exam focus:
Explain inductive effect, resonance, hyperconjugation and their
influence on stability of reactive intermediates.
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8. Alkanes and Free-Radical Reactions
8.1 General Formula
CₙH₂ₙ₊₂
8.2 Preparation by Hydrogenation
CH₂=CH₂ + H₂
Ni / Pt / Pd
→
CH₃−CH₃
8.3 Wurtz Reaction
2R−X + 2Na
dry ether
→
R−R + 2NaX
Wurtz reaction is useful mainly for preparation of symmetrical
higher alkanes.
8.4 Decarboxylation
R−COONa + NaOH
CaO, heat
→
R−H + Na₂CO₃
8.5 Free-Radical Chlorination of Methane
CH₄ + Cl₂
hv
→
CH₃Cl + HCl
Mechanism
Step 1: Initiation
Cl₂ --hv--> 2 Cl•
Step 2: Propagation
Cl• + CH₄ → HCl + CH₃•
CH₃• + Cl₂ → CH₃Cl + Cl•
Step 3: Termination
Cl• + Cl• → Cl₂
CH₃• + Cl• → CH₃Cl
CH₃• + CH₃• → C₂H₆
8.6 Relative Reactivity of Hydrogen
Hydrogen abstraction is influenced by the stability of the radical
formed.
3° H > 2° H > 1° H > methyl H
8.7 Combustion
CH₄ + 2O₂ → CO₂ + 2H₂O + heat
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9. Stereochemistry
9.1 Stereoisomerism
Stereoisomers have the same molecular formula and connectivity but
differ in three-dimensional arrangement.
9.2 Geometrical Isomerism
Geometrical isomerism occurs because rotation around a double bond
is restricted.
cis-2-butene
CH₃ CH₃
\ /
C = C
/ \
H H
9.3 Optical Isomerism
A chiral molecule is not superimposable on its mirror image.
9.4 Enantiomers
Enantiomers are non-superimposable mirror images.
9.5 Diastereomers
Diastereomers are stereoisomers that are not mirror images.
9.6 Optical Activity
- Dextrorotatory: rotates plane-polarized light clockwise.
- Levorotatory: rotates plane-polarized light anticlockwise.
9.7 R/S Configuration
- Assign priorities according to atomic number.
- Place the lowest priority group away from the observer.
- Trace 1 → 2 → 3.
- Clockwise = R.
- Anticlockwise = S.
9.8 Conformational Isomerism
Conformers are produced by rotation about single σ bonds.
Ethane
- Staggered conformation is more stable.
- Eclipsed conformation is less stable due to torsional strain.
Butane
The anti conformation is generally more stable than gauche because
bulky methyl groups are farther apart.
Exam focus:
Explain enantiomers, diastereomers, chirality, optical activity,
R/S configuration and conformational analysis.
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10. Alkyl Halides: SN1, SN2, E1 and E2 Mechanisms
10.1 General Structure
R−X
X = F, Cl, Br or I
10.2 Preparation from Alcohols
ROH + HX → RX + H₂O
10.3 Reactivity of Leaving Groups
I⁻ > Br⁻ > Cl⁻ >> F⁻
10.4 SN2 Mechanism
SN2 is a bimolecular nucleophilic substitution reaction occurring
through a single concerted step.
CH₃Br + OH⁻ → CH₃OH + Br⁻
Nu⁻ attacks the carbon from the backside.
Nu⁻
↓
C — Br
↑
simultaneous bond formation
and bond breaking
→ C — Nu + Br⁻
Characteristics
- One-step mechanism
- No carbocation intermediate
- Second-order reaction
- Rate = k[RX][Nu⁻]
- Backside attack
- Inversion of configuration
- Favored by primary substrates
- Polar aprotic solvents favor SN2
10.5 SN1 Mechanism
SN1 occurs through formation of a carbocation intermediate.
(CH₃)₃C−Br + H₂O
→
(CH₃)₃C−OH + HBr
Step 1: Carbocation formation
(CH₃)₃C−Br
→
(CH₃)₃C⁺ + Br⁻
Slow / rate-determining step
Step 2: Nucleophilic attack
(CH₃)₃C⁺ + H₂O
→
(CH₃)₃C−OH₂⁺
Step 3: Deprotonation
(CH₃)₃C−OH₂⁺
→
(CH₃)₃C−OH + H⁺
Characteristics
- Two-step reaction
- Carbocation intermediate
- First-order rate law
- Rate = k[RX]
- Favored by tertiary substrates
- Polar protic solvents favor SN1
- Rearrangement may occur
- Can give racemization at a chiral center
10.6 E1 Mechanism
E1 elimination occurs through a carbocation intermediate.
Step 1:
R−CH₂−CH(X)−R
→
R−CH₂−C⁺H−R + X⁻
Step 2:
Base removes β-H
C−H electrons form C=C
→ Alkene
E1 commonly competes with SN1 because both begin with carbocation
formation.
10.7 E2 Mechanism
E2 is a one-step bimolecular elimination reaction in which proton
abstraction and leaving-group departure occur simultaneously.
Base removes β-H
↓
C−H electrons form C=C
↓
C−X bond breaks
↓
Alkene + X⁻
The preferred transition state has the β-C−H and C−X bonds
approximately anti-periplanar. :contentReference[oaicite:2]{index=2}
10.8 Zaitsev Rule
In many elimination reactions, the more substituted alkene is
formed preferentially because it is generally more stable.
CH₃−CHBr−CH₂−CH₃
alc. KOH, heat
→
CH₃−CH=CH−CH₃ + CH₂=CH−CH₂−CH₃
2-butene = major product
10.9 SN1 vs SN2 vs E1 vs E2
| Feature |
SN1 |
SN2 |
E1 |
E2 |
| Steps |
2 |
1 |
2 |
1 |
| Intermediate |
Carbocation |
None |
Carbocation |
None |
| Rate |
k[RX] |
k[RX][Nu] |
k[RX] |
k[RX][Base] |
| Favored substrate |
3° |
Methyl/1° |
3° |
2°/3° commonly |
| Main product |
Substitution |
Substitution |
Alkene |
Alkene |
Master rule:
Primary + strong nucleophile → SN2 is commonly favored.
Tertiary + weak nucleophile / polar protic medium → SN1/E1.
Strong base + suitable substrate → E2 becomes important.
Actual product depends on substrate, nucleophile/base, solvent,
temperature and stereochemical requirements. :contentReference[oaicite:3]{index=3}
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11. Alcohols and Ethers
11.1 Classification of Alcohols
- Primary alcohol
- Secondary alcohol
- Tertiary alcohol
11.2 Preparation by Hydration of Alkene
CH₂=CH₂ + H₂O
H⁺
→
CH₃CH₂OH
11.3 Reaction with Sodium
2ROH + 2Na → 2RONa + H₂↑
11.4 Oxidation
Primary alcohol
→ Aldehyde
→ Carboxylic acid
Secondary alcohol
→ Ketone
Tertiary alcohol
→ resistant to mild oxidation
11.5 Dehydration of Alcohol
CH₃CH₂OH
conc. H₂SO₄, heat
→
CH₂=CH₂ + H₂O
Mechanistic idea for secondary/tertiary alcohols
1. Protonation of −OH
ROH + H⁺ → ROH₂⁺
2. Water leaves
ROH₂⁺ → R⁺ + H₂O
3. β-H removal
Base removes β-H
→ C=C formation
Primary alcohols often undergo dehydration through pathways that
avoid a free primary carbocation, whereas secondary and tertiary
alcohols can undergo E1-type pathways under suitable acidic
conditions.
11.6 Ether Formation: Williamson Synthesis
RONa + R'−X
→
R−O−R' + NaX
Mechanism
RO⁻ attacks the carbon bearing the leaving group
from the backside.
RO⁻ + R'−X
→
R−O−R' + X⁻
SN2 mechanism
Primary alkyl halides are particularly suitable for Williamson
ether synthesis because SN2 displacement is favored.
11.7 Cleavage of Ethers by HI
R−O−R' + HI
→
RI + R'OH
With excess HI:
R−O−R' + 2HI
→
RI + R'I + H₂O
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12. Alkenes
12.1 General Formula
CₙH₂ₙ
12.2 Preparation by Dehydrohalogenation
R−CH₂−CH₂−X
alc. KOH
→
R−CH=CH₂ + KX + H₂O
12.3 Electrophilic Addition
The π bond of an alkene is electron-rich and attacks an electrophile.
Electrophilic addition is therefore a major reaction type of alkenes.
12.4 Addition of HX
CH₃−CH=CH₂ + HBr
→
CH₃−CHBr−CH₃
Mechanism
Step 1:
π electrons attack H⁺
CH₃−CH=CH₂ + H⁺
→
carbocation
The more stable carbocation is preferentially formed.
Step 2:
Br⁻ attacks carbocation
carbocation + Br⁻
→
2-bromopropane
12.5 Markovnikov's Rule
In addition of HX to an unsymmetrical alkene under ordinary ionic
conditions, hydrogen generally adds to the carbon already bearing
more hydrogen, while X becomes attached to the more substituted
carbon.
12.6 Peroxide Effect
In the presence of peroxides, HBr can undergo radical addition giving
the anti-Markovnikov product.
Initiation:
ROOR → 2RO•
RO• + HBr → ROH + Br•
Propagation:
Br• + alkene
→ carbon radical
carbon radical + HBr
→ product + Br•
The Br• radical is regenerated.
The peroxide effect is characteristic of HBr in the standard
undergraduate treatment. It should not be generalized to HCl or HI.
12.7 Halogenation
CH₂=CH₂ + Br₂
CCl₄
→
BrCH₂−CH₂Br
Mechanism
Alkene π bond attacks Br₂
↓
Bromonium ion
↓
Br⁻ attacks from opposite side
↓
Vicinal dibromide
Overall:
anti addition
12.8 Hydration
CH₃−CH=CH₂ + H₂O
H⁺
→
CH₃−CHOH−CH₃
12.9 Hydroboration-Oxidation
Alkene
1. BH₃·THF
2. H₂O₂ / OH⁻
→
Alcohol
Hydroboration-oxidation gives anti-Markovnikov hydration with
overall syn addition of H and OH.
12.10 Ozonolysis
RCH=CHR'
1. O₃
2. Zn/H₂O
→
RCHO + R'CHO
Ozonolysis cleaves the carbon-carbon double bond and is useful for
locating the position of unsaturation.
12.11 Polymerization
n CH₂=CH₂
→
(−CH₂−CH₂−)ₙ
polyethylene
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13. Alkynes
13.1 General Formula
CₙH₂ₙ₋₂
13.2 Preparation by Double Dehydrohalogenation
Vicinal / geminal dihalide
↓
strong base
↓
Alkyne
13.3 Hydrogenation
RC≡CR'
+ H₂
Pd / Pt / Ni
→
RCH=CHR'
Further hydrogenation can produce the alkane.
13.4 Lindlar Reduction
RC≡CR'
H₂ / Lindlar catalyst
→
cis-RCH=CHR'
13.5 Dissolving Metal Reduction
RC≡CR'
Na / NH₃(l)
→
trans-RCH=CHR'
13.6 Addition of HX
RC≡CH + HBr
→
vinyl bromide
→
gem-dibromide
13.7 Hydration of Alkyne
RC≡CH
HgSO₄ / H₂SO₄ / H₂O
→
enol
→
carbonyl compound
13.8 Hydroboration-Oxidation
Terminal alkyne
1. bulky borane
2. H₂O₂ / OH⁻
→
aldehyde
13.9 Acidity of Terminal Alkynes
Terminal alkynes are relatively acidic because the conjugate base
places negative charge on an sp-hybridized carbon.
RC≡CH + NaNH₂
→
RC≡C⁻Na⁺ + NH₃
13.10 Acetylide Ion as Nucleophile
RC≡C⁻ + R'−X
→
RC≡C−R' + X⁻
This is an SN2 reaction and works particularly well with methyl and
primary alkyl halides.
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14. Gaseous State
14.1 Gas Laws
Boyle's law:
PV = constant
Charles' law:
V/T = constant
Avogadro's law:
V/n = constant
14.2 Ideal Gas Equation
PV = nRT
14.3 Dalton's Law
Ptotal = P₁ + P₂ + P₃ + ...
14.4 Kinetic Molecular Theory
- Gas molecules are in continuous random motion.
- Their own volume is negligible compared with container volume.
- Intermolecular forces are negligible for an ideal gas.
- Collisions are elastic.
- Average kinetic energy depends on absolute temperature.
14.5 van der Waals Equation
(P + an²/V²)(V − nb) = nRT
The constants a and b account for intermolecular attraction and
finite molecular volume respectively.
14.6 Critical Phenomena
At the critical temperature, a gas cannot be liquefied merely by
increasing pressure.
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15. Liquid and Solid States
15.1 Properties of Liquids
- Surface tension
- Viscosity
- Vapour pressure
- Boiling point
- Evaporation
15.2 Surface Tension
Surface tension is the tendency of a liquid surface to behave as
an elastic membrane due to intermolecular forces.
15.3 Viscosity
Viscosity is the resistance of a liquid to flow.
15.4 Solids
Solids have definite shape and volume because particles are held
relatively strongly in an ordered or disordered structure.
Types of Crystalline Solids
- Ionic solids
- Covalent/network solids
- Molecular solids
- Metallic solids
Unit Cell
A unit cell is the smallest repeating structural unit of a crystal
lattice.
Bragg's Law
nλ = 2d sinθ
Bragg's law is used in X-ray diffraction to study crystal
structures.
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16. Chemical Equilibrium
16.1 Dynamic Equilibrium
Chemical equilibrium is a dynamic state in which forward and
reverse reactions occur at equal rates and concentrations remain
constant.
16.2 Equilibrium Constant
aA + bB ⇌ cC + dD
Kc = [C]ᶜ[D]ᵈ / [A]ᵃ[B]ᵇ
16.3 Le Chatelier's Principle
When a system at equilibrium is disturbed, it shifts in a direction
that tends to oppose the disturbance.
Effect of Concentration
Increasing the concentration of a reactant generally shifts
equilibrium toward products.
Effect of Pressure
For gaseous equilibria, increasing pressure favors the side with
fewer moles of gas.
Effect of Temperature
For an exothermic reaction, increasing temperature favors the
reverse direction. For an endothermic reaction, increasing
temperature favors the forward direction.
Relation between Kp and Kc
Kp = Kc(RT)^Δn
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17. Ionic Equilibrium
17.1 Strong and Weak Electrolytes
Strong electrolytes ionize almost completely, while weak electrolytes
ionize only partially in solution.
17.2 Acid Dissociation Constant
HA + H₂O ⇌ H₃O⁺ + A⁻
Ka = [H⁺][A⁻]/[HA]
17.3 Base Dissociation Constant
BOH ⇌ B⁺ + OH⁻
Kb = [B⁺][OH⁻]/[BOH]
17.4 Ionic Product of Water
Kw = [H⁺][OH⁻]
At 25°C:
Kw = 1.0 × 10⁻¹⁴
17.5 Henderson-Hasselbalch Equation
pH = pKa + log([A⁻]/[HA])
17.6 Solubility Product
For a sparingly soluble salt, the solubility product is the product
of ionic concentrations raised to their stoichiometric powers.
AgCl(s) ⇌ Ag⁺ + Cl⁻
Ksp = [Ag⁺][Cl⁻]
17.7 Common Ion Effect
Addition of a common ion decreases the solubility or ionization of
a weak electrolyte.
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18. Colligative Properties
Colligative properties depend primarily on the number of dissolved
solute particles rather than their chemical identity.
18.1 Relative Lowering of Vapour Pressure
(P° − P)/P° = Xsolute
18.2 Elevation of Boiling Point
ΔTb = Kb m
18.3 Depression of Freezing Point
ΔTf = Kf m
18.4 Osmotic Pressure
π = CRT
For electrolytes:
π = iCRT
18.5 van't Hoff Factor
i = observed colligative property /
calculated colligative property
The van't Hoff factor accounts for association or dissociation of
solute particles.
18.6 Applications
- Determination of molar mass
- Osmosis and reverse osmosis
- Antifreeze solutions
- Physiological solutions
- Food preservation
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19. Chemical Kinetics
19.1 Rate of Reaction
Rate = change in concentration / change in time
19.2 Rate Law
aA + bB → products
Rate = k[A]ᵐ[B]ⁿ
m and n are determined experimentally and need not equal the
stoichiometric coefficients.
19.3 Order of Reaction
Overall order is the sum of powers of concentration terms in the
experimentally determined rate law.
19.4 Zero-Order Reaction
[A]t = [A]₀ − kt
t½ = [A]₀ / 2k
19.5 First-Order Reaction
ln([A]₀/[A]) = kt
k = 2.303/t log([A]₀/[A])
t½ = 0.693/k
19.6 Second-Order Reaction
1/[A] − 1/[A]₀ = kt
t½ = 1/(k[A]₀)
19.7 Arrhenius Equation
k = Ae⁻ᴱᵃ/ᴿᵀ
ln k = ln A − Ea/RT
A is the frequency factor and Ea is the activation energy.
19.8 Two-Temperature Form
log(k₂/k₁)
=
Ea / 2.303R
×
(T₂ − T₁)/(T₁T₂)
19.9 Activation Energy
Activation energy is the minimum energy barrier that reacting
molecules must overcome to reach the transition state.
19.10 Collision Theory
According to collision theory, molecules must collide with suitable
orientation and sufficient energy to produce reaction.
19.11 Catalyst
A catalyst provides an alternative reaction pathway with lower
activation energy and increases reaction rate without being
permanently consumed.
Exam focus:
Derive integrated rate equations for zero-, first- and second-order
reactions and explain Arrhenius equation and activation energy.
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20. Thermochemistry and Thermodynamics
20.1 System and Surroundings
- System: part of universe under study.
- Surroundings: everything outside the system.
- Boundary: separates system from surroundings.
20.2 Types of System
- Open system
- Closed system
- Isolated system
20.3 First Law of Thermodynamics
ΔU = q + w
Energy can neither be created nor destroyed; it can only be
transformed from one form to another.
20.4 Enthalpy
H = U + PV
At constant pressure, heat exchanged is related to enthalpy change.
20.5 Hess's Law
The enthalpy change of a reaction is independent of the pathway and
depends only on initial and final states.
20.6 Bond Enthalpy
ΔH ≈ Σ bond energies of bonds broken
−
Σ bond energies of bonds formed
20.7 Entropy
Entropy is a thermodynamic state function related to the dispersal
of energy and the number of accessible microscopic arrangements.
ΔS = qrev / T
20.8 Second Law of Thermodynamics
For a spontaneous process, the entropy of the universe increases.
ΔSuniverse = ΔSsystem + ΔSsurroundings
For spontaneous process:
ΔSuniverse > 0
20.9 Gibbs Free Energy
ΔG = ΔH − TΔS
| ΔG |
Meaning |
| Negative |
Spontaneous in the specified conditions |
| Positive |
Non-spontaneous in the specified conditions |
| Zero |
Equilibrium |
20.10 Relation between Free Energy and Equilibrium
ΔG° = −RT ln K
20.11 Carnot Cycle
Isothermal expansion
↓
Adiabatic expansion
↓
Isothermal compression
↓
Adiabatic compression
↓
Initial state
20.12 Carnot Efficiency
η = 1 − T₂/T₁
T₁ is the temperature of the hot reservoir and T₂ is the
temperature of the cold reservoir.
20.13 Spontaneity and Temperature
| ΔH |
ΔS |
Spontaneity |
| − |
+ |
Spontaneous at all temperatures |
| + |
− |
Non-spontaneous at all temperatures |
| − |
− |
Depends on temperature |
| + |
+ |
Depends on temperature |
Exam focus:
First law, Hess's law, entropy, second law, Gibbs free energy,
Carnot cycle, spontaneity and numerical problems.
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21. Important Reactions, Formulae and Exam Strategy
21.1 Must-Know Organic Reactions
| Reaction |
Important reagent / condition |
| Wurtz reaction |
Na / dry ether |
| Free-radical halogenation |
Cl₂ / hν |
| SN2 |
Strong nucleophile, suitable primary substrate |
| SN1 |
Stable carbocation, polar protic medium |
| E2 |
Strong base |
| Alcohol dehydration |
Conc. H₂SO₄ / heat |
| Williamson ether synthesis |
RO⁻ + primary R−X |
| HX addition |
Markovnikov orientation normally |
| HBr peroxide effect |
Anti-Markovnikov radical addition |
| Halogen addition |
Br₂ / inert solvent |
| Hydroboration oxidation |
BH₃·THF; H₂O₂/OH⁻ |
| Ozonolysis |
O₃ followed by reductive work-up |
| Lindlar reduction |
cis-alkene |
| Na/NH₃ reduction |
trans-alkene |
21.2 Mechanisms You Must Practice Drawing
- Free-radical chlorination of methane
- SN1 mechanism
- SN2 mechanism
- E1 mechanism
- E2 mechanism
- Acid-catalyzed dehydration of alcohol
- Williamson ether synthesis
- Electrophilic addition of HBr to alkene
- Peroxide effect of HBr
- Bromination of alkene through bromonium ion
- Hydroboration-oxidation
21.3 Important Physical Chemistry Formulae
PV = nRT
Kp = Kc(RT)^Δn
ΔTb = Kb m
ΔTf = Kf m
π = iCRT
ln([A]₀/[A]) = kt
t½(first order) = 0.693/k
k = Ae⁻ᴱᵃ/ᴿᵀ
ΔU = q + w
H = U + PV
ΔG = ΔH − TΔS
ΔG° = −RT ln K
η = 1 − T₂/T₁
nλ = 2d sinθ
21.4 High-Value 10-Mark Questions
- Discuss Bohr's atomic model and explain its limitations.
- Explain quantum numbers and electronic configuration.
- Discuss periodic trends in atomic radius, ionization energy,
electron affinity and electronegativity.
- Explain VSEPR theory and hybridization with suitable examples.
- Explain molecular orbital theory and calculate bond order.
- Explain SN1 and SN2 mechanisms with comparison.
- Explain E1 and E2 mechanisms and discuss factors affecting
elimination.
- Explain free-radical halogenation of alkanes with initiation,
propagation and termination steps.
- Discuss electrophilic addition reactions of alkenes with
mechanisms.
- Explain Markovnikov's rule and peroxide effect.
- Discuss stereochemistry including optical and geometrical
isomerism.
- Derive integrated rate equations for different orders of
reactions.
- Explain Arrhenius equation and activation energy.
- Discuss first and second laws of thermodynamics.
- Explain Gibbs free energy and its relation to spontaneity and
equilibrium.
21.5 Important 5-Mark Questions
- Heisenberg uncertainty principle
- de Broglie hypothesis
- Quantum numbers
- Hund's rule
- Effective nuclear charge
- VSEPR theory
- Hybridization
- Hydrogen bonding
- Inductive effect
- Resonance
- Hyperconjugation
- Carbocation stability
- SN1 mechanism
- SN2 mechanism
- E1 mechanism
- E2 mechanism
- Zaitsev rule
- Markovnikov rule
- Peroxide effect
- Ozonolysis
- Hydroboration oxidation
- Williamson synthesis
- Arrhenius equation
- Hess's law
- Entropy
- Gibbs free energy
21.6 How to Write a 10-Mark Chemistry Answer
For theory:
1. Definition / introduction
2. Principle or theory
3. Explanation
4. Equation / derivation
5. Diagram or structure where appropriate
6. Examples
7. Applications / significance
8. Limitations if relevant
9. Short conclusion
For an organic reaction:
1. Starting compound
2. Reagent and conditions
3. Major product
4. Mechanism
5. Reactive intermediate
6. Electron movement
7. Regioselectivity
8. Stereochemical outcome
9. Factors affecting the reaction
21.7 Organic Chemistry Master Revision
ALKANE
↓
Free-radical substitution
ALKYL HALIDE
↓
SN1 / SN2
↓
Substitution
ALKYL HALIDE
↓
E1 / E2
↓
Alkene
ALCOHOL
↓
Oxidation / substitution / dehydration
ALKENE
↓
Electrophilic addition
↓
Alcohol / Haloalkane / Dihalide / etc.
ALKYNE
↓
Addition / reduction / hydration
REACTION MECHANISM
↓
Identify electron-rich site
↓
Identify electron-poor site
↓
Identify leaving group
↓
Draw electron movement
↓
Identify intermediate
↓
Determine major product
Final exam reminder:
In Organic Chemistry, do not memorize only the final product.
Learn:
Reagent → attacking species → electron movement →
intermediate → product → stereochemistry.
This approach makes it much easier to solve unfamiliar reaction
questions rather than only reproducing memorized equations.
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