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🔰 Chapter 1 — Foundations
Chemistry Glossary Ions & Charges Chemical Bonding Periodic Table Blocks Full Periodic Table
⚗️ Chapter 2 — Core Chemistry
Mole Concept Reaction Types Acids & Bases Solutions & Concentration Gas Laws Pressure
🔥 Chapter 3 — Physical Chemistry
Thermochemistry Reaction Kinetics Chemical Equilibrium Ionic Equilibrium Reactivity Series
⚡ Chapter 4 — Electrochemistry
Electrochemistry (Redox) Electrochemical Series Electrochemistry Calculations Nuclear Chemistry
🏭 Chapter 5 — Industrial Chemistry
Catalytic Activity Magnetic Properties Extraction of Iron Properties of Pure Iron Iron Oxides Alloys
🔬 Chapter 6 — Analytical Chemistry
Detection of Basic Radicals Quantitative Analysis Lab Techniques Spectroscopy
⬡ Chapter 7 — Organic Chemistry
What are Hydrocarbons? IUPAC Nomenclature Isomerism Functional Groups Compound Library Organic Reactions Polymers Aromatic Chemistry & Alkynes Hydrocarbon Derivatives Cyclic Hydrocarbons Alcohols & Phenols Organic Synthesis
🔧 Tools & Reference
Hydrocarbon Calculator Alkane Isomer Builder ⚡ Interactive Tools Periodic Table Blocks Full Periodic Table
Press ESC to close · Click a result to jump
H
Hydrogen
Nonmetal

State at RT: Gas
1Atomic Number
1.008Atomic Mass
1Period / Group
1Protons
0Neutrons (common)
1Electrons
Electron Configuration 1s¹
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v12.1  ·  Complete Chemistry Encyclopedia

Master Chemistry

The ultimate interactive encyclopedia — organic, functional groups, equilibrium, bonding, nuclear, electrochemistry, and 9 live calculation tools.

45Topic Sections
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Chapter 01
Organic Chemistry
Hydrocarbons, IUPAC naming, isomerism, the compound library, and organic functional groups — the language of carbon-based molecules.
14 Sections
// Deep Learning

What are Hydrocarbons?

Hydrocarbons are organic compounds consisting entirely of Carbon (C) and Hydrogen (H) atoms — nothing else. They form the backbone of fossil fuels, polymers, and countless synthetic materials. Understanding hydrocarbons is the foundation of all organic chemistry.

⬡ Alkanes — Saturated

Contain the maximum possible hydrogen atoms. All C–C bonds are single bonds (σ bonds only) — no π bonds. This makes them chemically stable and unreactive at room temperature.

Formula: CnH2n+2

React only in: combustion (burning) and halogenation (substitution with Cl₂/Br₂ under UV light). Both require breaking the strong C–H bond first.

⬡ Alkenes & Alkynes — Unsaturated

Contain double (alkenes) or triple (alkynes) C–C bonds. The π bond electrons are above and below the bond axis — they are loosely held and highly reactive. These π electrons are attacked by electrophiles in addition reactions.

Alkene: CnH2n  ·  Alkyne: CnH2n−2

React with: H₂ (hydrogenation), Br₂ (bromine water test), HX (hydrohalogenation), H₂O (hydration to alcohol).

⬡ The n=1 Exception

Both alkenes and alkynes cannot exist at n=1. A double or triple bond requires at least two carbon atoms — you need two carbons to share a double bond between them.

n=1: Methane (CH₄) only — no ethene or ethyne equivalent
n=2: Ethene (C₂H₄) and Ethyne (C₂H₂) are the minimum

Physical Properties & Trends

🌡️ Boiling Point Trend

As the carbon chain gets longer, boiling point increases. More carbons = larger surface area = stronger van der Waals (dispersion) forces between molecules = more energy needed to separate them.

  • Methane (CH₄): bp −162°C (gas)
  • Pentane (C₅H₁₂): bp 36°C (liquid)
  • Decane (C₁₀H₂₂): bp 174°C (liquid)
  • Icosane (C₂₀H₄₂): bp 343°C (solid wax)

🔀 Effect of Branching

Branched isomers have lower boiling points than straight-chain isomers. Branching makes the molecule more spherical, reducing surface area contact between molecules, so less energy is needed to separate them.

  • n-Pentane: bp 36°C (straight)
  • Isopentane: bp 28°C (one branch)
  • Neopentane: bp 10°C (most branched)

All three are C₅H₁₂ but have very different boiling points.

💧 Solubility & State

All hydrocarbons are non-polar — they do not mix with water ("like dissolves like"). They dissolve freely in non-polar organic solvents.

  • C₁–C₄: gases at room temperature
  • C₅–C₁₇: liquids (petrol, kerosene, diesel)
  • C₁₈+: waxy solids (paraffin wax, bitumen)

This is why crude oil is separated by fractional distillation — each fraction boils at a different temperature range.

🔥 Combustion — The Key Reaction

All hydrocarbons burn in oxygen. Complete combustion (excess O₂) gives only CO₂ and H₂O. Incomplete combustion (limited O₂) gives CO and/or carbon soot — both toxic/polluting.

C₄H₁₀ + 6½O₂ → 4CO₂ + 5H₂O (complete)
2C₄H₁₀ + 9O₂ → 8CO + 10H₂O (incomplete)

🧪 Bromine Water Test

A quick test to distinguish saturated from unsaturated hydrocarbons:

  • Add orange/brown bromine water (Br₂(aq)) to the compound
  • Decolourises (turns colourless) → unsaturated (alkene or alkyne present — addition reaction occurs)
  • Stays orange/brown → saturated (alkane — no reaction)

⚡ Degree of Unsaturation

The degree of unsaturation (DoU) tells you how many double bonds or rings are in a molecule. Calculate it from the molecular formula CnHm:

DoU = (2n + 2 − m) ÷ 2

DoU=0 → alkane · DoU=1 → one ring or one C=C · DoU=2 → one C≡C or two C=C · DoU=4 → benzene ring

// Formula Engine

Hydrocarbon Calculator

Enter any value of n to instantly see the molecular formula, compound name, and series rules for all three hydrocarbon families.

MethaneParent compound
Saturated · Alkane

Formula & Series

CH4
General Rule: CnH2n+2
Bonds: Single (σ) only · Suffix: -ane
Unsaturated · Alkene

Formula & Series

General Rule: CnH2n
Bonds: One C=C double bond · Suffix: -ene
Highly Unsaturated · Alkyne

Formula & Series

General Rule: CnH2n−2
Bonds: One C≡C triple bond · Suffix: -yne
// Naming Science

IUPAC Nomenclature

IUPAC rules ensure every molecule has one unique, unambiguous systematic name understood by chemists worldwide. Follow these five steps in order — every time.

Find the Parent Chain

Look at the whole molecule and trace the longest continuous chain of carbon atoms — this is your parent chain and gives the base name.

1CMeth-
2CEth-
3CProp-
4CBut-
5CPent-
6CHex-
7CHept-
8COct-
9CNon-
10CDec-
⚠️
Multiple bonds must be included: If there is a C=C or C≡C bond, your chain must pass through it — even if a longer chain exists that skips it.
⚠️
Tie-breaker rule: If two chains have equal length, choose the one that gives the greatest number of substituents (branches).
Suffix: Single bonds → -ane · One double bond → -ene · One triple bond → -yne
Example 1 — AlkaneCH₃–CH₂–CH₂–CH₃ → 4 carbons → Parent: But-Butane
Example 2 — AlkeneCH₃–CH₂–CH=CH₂ → 4 carbons (includes C=C) → Parent: But-But-1-ene
Common Mistake ✗Choosing a 5-carbon chain that skips a C=C when a 4-carbon chain through the C=C exists — always include the multiple bond.

The Lowest Locant Rule

Once you have the parent chain, number its carbons from one end to the other. You must choose the direction that gives the lowest set of locants (position numbers).

1️⃣
Multiple bonds get priority: Number from the end that gives the C=C or C≡C the lowest position number first.
2️⃣
No multiple bonds? Number from the end nearest the first branch (substituent).
3️⃣
Compare sets: If you get {2,3} from one end and {4,5} from the other — use {2,3}. Compare the first point of difference.
Example — Branched Alkane CH₃–CH(CH₃)–CH₂–CH₂–CH₃

From left → branch at carbon 2 → locant set: {2}
From right → branch at carbon 4 → locant set: {4}
✅ Number from left → branch is at C2 → 2-methylpentane
Example — Alkene CH₂=CH–CH₂–CH₃

From left → double bond starts at C1But-1-ene
From right → double bond starts at C3 → But-3-ene ✗
Always pick the direction giving the double bond the lowest number.
Common Mistake ✗Naming CH₃–CH=CH–CH₃ as "But-3-ene" — the correct name is But-2-ene (number from the end closer to the double bond).

Name the Substituents (Branches)

Any group attached to the main chain (but not part of it) is a substituent. These are named using the carbon count of the branch + the suffix "-yl".

–CH₃
Methyl
–C₂H₅
Ethyl
–C₃H₇
Propyl
–C₄H₉
Butyl
–F
Fluoro
–Cl
Chloro
–Br
Bromo
–I
Iodo
✖️
Multiple identical substituents: Use prefixes — di- (×2), tri- (×3), tetra- (×4). Each still needs its own locant number.
📌
Example: Two –CH₃ on carbon 2 → write 2,2-dimethyl not "2-methyl-2-methyl"
Halogen ExampleCH₃–CHCl–CH₂–CH₃ → 4-carbon chain, Cl on C2 → 2-chlorobutane
Two Methyls ExampleCH₃–C(CH₃)₂–CH₂–CH₃ → 4-carbon chain, two methyls on C2 → 2,2-dimethylbutane

Alphabetical Priority

When two or more different substituents are present, list them in the name in strict alphabetical order based on the substituent name alone.

Alphabetise the substituent name itself: bromo, chloro, ethyl, fluoro, iodo, methyl, propyl…
Ignore multiplying prefixes (di-, tri-, tetra-) when alphabetising. "dimethyl" is alphabetised as "methyl" (m), not "d".
Do NOT ignore prefixes that are part of the substituent name itself — iso-, cyclo-, neo- are included in alphabetisation.
Example 1 — Ethyl vs Methyl A molecule with an ethyl group at C3 and a methyl group at C2:

E (ethyl) comes before M (methyl) alphabetically.
✅ Correct: 3-ethyl-2-methylpentane
✗ Wrong: 2-methyl-3-ethylpentane
Example 2 — Dimethyl vs Ethyl A molecule with two methyls (at C2, C4) and one ethyl (at C3):

Ignore "di-" → alphabetise "ethyl" vs "methyl" → E before M
✅ Correct: 3-ethyl-2,4-dimethylhexane
Example 3 — Halogens Bromo (B) comes before Chloro (C) comes before Methyl (M):
✅ Correct: 2-bromo-3-chloro-4-methylpentane

Final Assembly — Writing the Name

You have all the pieces. Now assemble them in this exact format:

[locant]-[substituent]-[parent chain + suffix]
📌
Use commas to separate two numbers: 2,3- not 2 3-
📌
Use hyphens to separate numbers from words: 2-methyl not 2 methyl
📌
For alkenes/alkynes, place the double bond locant before the suffix: but-2-ene or pent-1-yne
📌
The entire name is written as one word — no spaces.
Full Worked Example — Step by Step Molecule: CH₃–CH(C₂H₅)–CH(CH₃)–CH₂–CH₃

Step 1 — Longest chain: 5 carbons → pent-
Step 2 — Number: branches at C2 (ethyl) and C3 (methyl) from left gives {2,3}; from right gives {3,4} → number from left
Step 3 — Substituents: –C₂H₅ at C2 (ethyl), –CH₃ at C3 (methyl)
Step 4 — Alphabetical: ethyl (E) before methyl (M)
Step 5 — Assemble: 2-ethyl-3-methylpentane
More Examples 2,2-dimethylpentane  ·  3-ethyl-2-methylhexane  ·  2-bromo-but-1-ene  ·  4,4-dichloropentane

📋 Suffix Quick Reference

  • -ane → only single bonds (alkane)
  • -ene → one C=C double bond (alkene)
  • -yne → one C≡C triple bond (alkyne)
  • -diene → two C=C bonds (e.g. buta-1,3-diene)
  • -ol → alcohol (–OH group)
  • -al → aldehyde (–CHO group)
  • -one → ketone (C=O group)
  • -oic acid → carboxylic acid (–COOH)

❌ Most Common Mistakes

  • Choosing the longest chain but missing the double bond
  • Numbering from the wrong end (giving high locants)
  • Writing "2-methyl-3-ethyl" instead of alphabetical "3-ethyl-2-methyl"
  • Forgetting commas between numbers: writing "23-dimethyl" instead of "2,3-dimethyl"
  • Including di-/tri- when alphabetising substituents
  • Putting a space in the name (it must be one continuous word)

🧠 Memory Trick for Root Names

My  Excellent  Puppy  Bites  People
Happily  Helping  Old  Neighbours  Daily

Meth · Eth · Prop · But · Pent · Hex · Hept · Oct · Non · Dec

// Structure Logic

Isomerism: Same Formula, Different Structure

Isomers share the exact same molecular formula but differ in how their atoms are arranged — either in bonding order or in 3D space. The same atoms, rearranged, can produce dramatically different chemicals with different smells, melting points, and biological effects.

Type I

Structural Isomers

Atoms are bonded in a different sequence. They have the same molecular formula but different structural (displayed) formulas. Three sub-types:

  • Chain isomers: Same atoms, different carbon skeleton branching.
    n-Butane vs Isobutane — both C₄H₁₀
    n-Butane: CH₃–CH₂–CH₂–CH₃ (straight chain)
    Isobutane: CH₃–CH(CH₃)–CH₃ (branched)
  • Position isomers: Same functional group, different position on the chain.
    1-Butene vs 2-Butene — both C₄H₈
    1-Butene: C=C at carbon 1  ·  2-Butene: C=C at carbon 2
  • Functional group isomers: Different functional groups, same formula.
    Ethanol vs Dimethyl Ether — both C₂H₆O
    CH₃CH₂OH (alcohol) vs CH₃–O–CH₃ (ether)
Type II

Stereoisomers (3D)

Same bonding sequence, but atoms are arranged differently in 3D space. They cannot be interconverted without breaking bonds. Two types:

  • Geometric (Cis/Trans): Only possible when there is a C=C double bond (no free rotation) and each carbon of the double bond has two different groups attached.
    Cis: the same groups are on the same side of the double bond
    Trans: the same groups are on opposite sides

    e.g. cis-but-2-ene vs trans-but-2-ene
  • Optical Isomers (Enantiomers): A carbon with 4 different groups attached is called a chiral centre. It produces two non-superimposable mirror images — like your left and right hands.
    • Both enantiomers have identical physical properties (bp, mp, density)
    • They differ in how they rotate plane-polarised light (+/−)
    • Critically different in biological systems — receptors are chiral!

Geometric Isomerism — Cis & Trans Explained

🔒 Why double bonds don't rotate

A C=C bond consists of a σ (sigma) bond AND a π (pi) bond. The π bond locks the two carbons in place — they cannot rotate freely. This is why groups on either side of a double bond are fixed in space, making cis/trans isomers stable and distinct compounds.

Single bonds (C–C) rotate freely → no geometric isomers possible.

✅ Conditions for cis/trans isomers

Both conditions must be true:

  • There must be a C=C double bond (restricted rotation)
  • Each carbon of the double bond must have two different groups — if either carbon has two identical groups, no geometric isomers exist

CH₂=CH₂ → NO (each C has 2×H)
CH₃–CH=CH–CH₃ → YES (each C has H and CH₃)

⚗️ Properties differ between cis & trans

Cis-but-2-ene and trans-but-2-ene are genuinely different compounds:

  • Different boiling points (cis bp: 3.7°C · trans bp: 0.9°C)
  • Different dipole moments (cis is polar, trans may cancel)
  • Different reactivity with certain reagents

Optical Isomerism — Chiral Centres

🖐️ What is a chiral centre?

A chiral carbon (asymmetric carbon) is a carbon atom bonded to four completely different atoms or groups. It is marked with an asterisk: C*.

Example: CH₃–C*H(OH)–COOH
(Lactic acid — the C* has: H, OH, CH₃, COOH)

The two mirror-image arrangements cannot be superimposed on each other, just like a left and right hand look identical in a mirror but are not the same object.

💊 Why it matters in drugs

Many drug molecules contain chiral centres. The two enantiomers can have very different effects in the body because biological receptors are also chiral and only fit one "hand" of the molecule.

  • Thalidomide: one enantiomer treated morning sickness, the other caused severe birth defects
  • Ibuprofen: only the S-enantiomer is active; the body converts R→S
  • Amino acids: only L-forms are used in living proteins

💡 Counting optical isomers

Maximum number of optical isomers = 2ⁿ where n = number of chiral centres.

  • 1 chiral centre → 2 isomers (1 pair of enantiomers)
  • 2 chiral centres → up to 4 isomers (2 pairs)
  • 3 chiral centres → up to 8 isomers

Note: sometimes internal symmetry reduces this number (meso compounds).

Counting Structural Isomers — Worked Example

🔢 How many structural isomers does C₄H₁₀ have?

Step 1: Start with the straight chain: CH₃–CH₂–CH₂–CH₃ → n-Butane

Step 2: Try branching — take one CH₃ off the chain and attach it to C2: CH₃–CH(CH₃)–CH₃ → 2-Methylpropane (Isobutane)

Step 3: Any more unique structures? No — any other arrangement repeats one of the above.

✅ C₄H₁₀ has exactly 2 structural isomers.

C₅H₁₂ has 3 isomers · C₆H₁₄ has 5 isomers · C₇H₁₆ has 9 isomers — branching possibilities grow rapidly!

💡 Why Isomerism Matters

C₅H₁₂ alone has 3 structural isomers with different boiling points and reactivities. In pharmaceuticals, the wrong isomer can be the difference between a medicine and a poison — Thalidomide being the famous tragic example. This is why modern drug synthesis must be stereospecific — producing only the correct enantiomer.

⚗️ Interactive Isomer Builder

Pick a compound type and carbon count to instantly see every structural isomer with IUPAC names and condensed formulas.

Select a compound type and carbon count above.
// Alkane Isomer Engine

Alkane Isomer Builder

Enter a carbon count and instantly generate every possible structural isomer of that alkane — complete with IUPAC names, molecular formulas, and condensed structures. Powered by a recursive carbon skeleton algorithm.

How it works: The algorithm builds all unique rooted trees of n carbon atoms, then de-duplicates using canonical labelling. Each skeleton is then converted to a condensed structure and named using IUPAC rules.
⚗️ Alkane Isomer Generator
C₄H₁₀
// Reference Grimoire

Hydrocarbon Library (C1 – C10)

Complete homologous series of the first ten members with systematic IUPAC names.

nPrefix AlkaneFormula AlkeneFormula AlkyneFormula
// Organic Families

Organic Functional Groups

Functional groups are specific atom arrangements within organic molecules that determine their characteristic chemical reactivity — they are the "active sites" of organic chemistry. Knowing them lets you predict how any organic compound will behave.

–OH
Alcohol
Suffix: -ol

Hydroxyl group. Polar, forms H-bonds → high boiling points. Reacts with acids to form esters (esterification).

CH₃OH — Methanol
C₂H₅OH — Ethanol
–CHO
Aldehyde
Suffix: -al

Terminal carbonyl (C=O). Easily oxidised to carboxylic acid. Gives positive Tollens' test (silver mirror).

HCHO — Methanal
CH₃CHO — Ethanal
C=O
Ketone
Suffix: -one

Internal carbonyl flanked by two C-groups. Cannot be easily oxidised. Negative Tollens' test. Used as solvents.

CH₃COCH₃ — Propanone
CH₃COC₂H₅ — Butanone
–COOH
Carboxylic Acid
Suffix: -oic acid

Both carbonyl and hydroxyl. Weak acid, donates H⁺. Reacts with alcohols (esterification) and bases (neutralisation).

HCOOH — Methanoic acid
CH₃COOH — Ethanoic acid
–COO–
Ester
-yl ...oate

Formed from acid + alcohol (esterification, loses H₂O). Fruity odours, used in flavourings. Hydrolysis reverses to acid + alcohol.

CH₃COOC₂H₅ — Ethyl ethanoate
HCOOCH₃ — Methyl methanoate
–NH₂
Amine
Suffix: -amine

Nitrogen with lone pair. Acts as a base — accepts H⁺. Fishy odour. Essential in amino acids, proteins, and drugs.

CH₃NH₂ — Methylamine
C₆H₅NH₂ — Aniline
R–O–R
Ether
Prefix: alkoxy-

Oxygen bridging two C-chains. Relatively unreactive, non-polar. Excellent organic solvents. Named as alkoxy derivatives.

CH₃OCH₃ — Methoxymethane
C₂H₅OC₂H₅ — Ethoxyethane
–CONH₂
Amide
Suffix: -amide

Carbonyl bonded to nitrogen. Very stable — the peptide bond in proteins is an amide bond. Used in nylon and paracetamol.

HCONH₂ — Methanamide
CH₃CONH₂ — Ethanamide
R–X
Alkyl Halide
X = Cl, Br, I, F

Halogen attached to a carbon chain. Undergoes nucleophilic substitution (SN1/SN2) and elimination reactions. Used as solvents and intermediates.

CH₃Cl — Chloromethane
C₄H₉Cl — 2-chlorobutane
R–SH
Thiol
Suffix: -thiol

Sulfur analogue of alcohol. Very strong odour (responsible for garlic and skunk smell). Oxidised to disulfide bonds in proteins.

CH₃SH — Methanethiol
C₄H₉SH — 1-butanethiol
R–C≡N
Nitrile
Suffix: -nitrile

Triple bond between carbon and nitrogen. Polar and high-boiling. Hydrolysed to carboxylic acids; reduced to amines. Used in pharmaceuticals.

CH₃CN — Ethanenitrile
C₂H₅CN — Propanenitrile
C₆H₅–
Aromatic
Benzene ring

Cyclic, planar, delocalised π electrons satisfying Hückel's rule (4n+2 π e⁻). Undergoes electrophilic aromatic substitution (EAS) rather than addition.

C₆H₆ — Benzene
C₆H₅CH₃ — Toluene
R–S–R
Sulfide
Prefix: thio-

Sulfur bridging two carbon chains — the sulfur analogue of an ether. Less reactive than thiols. Oxidised to sulfoxides and sulfones. Found in methionine (amino acid).

CH₃–S–CH₃ — Dimethyl sulfide
C₂H₅–S–C₂H₅ — Diethyl sulfide
RC–O–CR
Anhydride
Suffix: -ic anhydride

Two acyl groups joined via an oxygen. Formed by dehydration of two carboxylic acid molecules. More reactive than esters — reacts readily with alcohols, amines, and water.

CH₃CO–O–COCH₃ — Acetic anhydride
C₄H₂O₃ — Maleic anhydride
R–COX
Acyl Halide
Suffix: -oyl halide

The most reactive acyl derivative — carbonyl directly bonded to a halogen. Reacts vigorously with water, alcohols, and amines. Used to introduce acyl groups in synthesis.

CH₃COCl — Ethanoyl chloride
C₆H₅COCl — Benzoyl chloride

🔬 Oxidation Series

Carbon's oxidation state increases:
Alkane → Alcohol → Aldehyde → Carboxylic Acid
Each step adds oxygen or removes hydrogen. Ketones cannot be further oxidised without breaking C–C bonds.

⚗️ Key Reactions

  • Esterification: Alcohol + Acid → Ester + H₂O
  • Saponification: Ester + NaOH → Alcohol + Salt
  • Oxidation: Alcohol → Aldehyde/Ketone → Carboxylic Acid
  • Reduction: Acid → Aldehyde → Alcohol

🧪 Identification Tests

  • Tollens': Silver mirror → Aldehyde ✓
  • Fehling's: Red ppt → Aldehyde ✓
  • Na metal: H₂ gas → Alcohol or Acid ✓
  • Litmus: Red → Carboxylic Acid ✓
  • PCl₅: HCl fumes → –OH or –COOH ✓
// Reaction Mechanisms

Organic Reactions

Organic reactions transform one functional group into another. Knowing the mechanism — which bonds break and form — lets you design synthesis routes and predict products.

Energy Profile Curves

Exothermic Reaction
R P ‡TS Ea −ΔH
Products at lower energy than reactants. ΔH is negative.
Endothermic Reaction
R P ‡TS +ΔH
Products at higher energy than reactants. ΔH is positive.

Major Reaction Types

Addition

Electrophilic Addition

Alkenes/alkynes add atoms across the double/triple bond. The π bond breaks, two new σ bonds form.

CH₂=CH₂ + H₂ → CH₃–CH₃
CH₂=CH₂ + Br₂ → CH₂Br–CH₂Br
CH₂=CH₂ + H₂O (H⁺) → CH₃CH₂OH
CH₃–CH=CH₂ + HBr → CH₃–CHBr–CH₃ (major, Markovnikov)
Markovnikov's Rule: H adds to the carbon with more hydrogens (asymmetric alkenes only).
Substitution

Free Radical Substitution

Alkanes react with halogens (UV light). A H atom is replaced by a halogen atom via radical chain mechanism.

CH₄ + Cl₂ (UV) → CH₃Cl + HCl
CH₄ + Cl₂ → CH₂Cl₂ + HCl (further)
📋 3 Steps: Initiation (Cl₂ → 2Cl•) → Propagation → Termination
Elimination

Dehydration / Dehydrohalogenation

Removal of a small molecule (H₂O or HX) from adjacent carbons to form a double bond.

CH₃CH₂OH (H₂SO₄, 180°C) → CH₂=CH₂ + H₂O
CH₃CHBrCH₃ + KOH (alc) → CH₃CH=CH₂ + KBr + H₂O
🌡️ Zaitsev's Rule: Predominant alkene has the most substituted double bond.
Esterification

Acid + Alcohol → Ester

A carboxylic acid reacts with an alcohol under acid catalyst to form an ester and water (condensation). Reversible equilibrium.

CH₃COOH + C₂H₅OH ⇌ CH₃COOC₂H₅ + H₂O
HCOOH + CH₃OH ⇌ HCOOCH₃ + H₂O
⚗️ Use conc. H₂SO₄ as catalyst. Remove H₂O to push equilibrium right.
Oxidation

Controlled Oxidation

Oxidising agents (K₂Cr₂O₇/H₂SO₄ or KMnO₄) selectively oxidise alcohols. Primary → Aldehyde → Carboxylic Acid. Secondary → Ketone.

1° Alcohol [O] → Aldehyde [O] → Carboxylic Acid
2° Alcohol [O] → Ketone (stops here)
3° Alcohol → No oxidation with mild [O]
🟠 K₂Cr₂O₇ turns orange → green when alcohol is oxidised.
Combustion

Complete & Incomplete

Organic molecules + O₂ → releases energy. Complete combustion gives CO₂ + H₂O. Limited O₂ gives CO or C (soot).

C₃H₈ + 5O₂ → 3CO₂ + 4H₂O (complete)
2C₃H₈ + 7O₂ → 6CO + 8H₂O (incomplete)
⚠️ CO is odourless, toxic — binds haemoglobin 200× more strongly than O₂.

🔬 Reaction Conditions Summary

  • Halogenation (alkane): UV light, room temp
  • Addition (alkene): Room temp, no catalyst needed for Br₂
  • Hydration: Steam, H₃PO₄ catalyst, 300°C, 70 atm
  • Dehydration: Conc. H₂SO₄, 180°C
  • Esterification: Conc. H₂SO₄, reflux

🧲 Testing for Unsaturation

  • Bromine water: Decolourises → double/triple bond present
  • KMnO₄: Purple → colourless → unsaturation present
  • Both negative → saturated (alkane)

📊 Reaction Selectivity

Regioselectivity: where reaction occurs (Markovnikov)
Stereoselectivity: which face is attacked (syn vs anti addition)
Chemoselectivity: which functional group reacts first

// Giant Molecules

Polymers

Polymers are giant molecules (macromolecules) formed by joining thousands of small monomer units. They dominate modern materials science — from packaging to DNA to spider silk.

Addition Polymerisation

Chain Growth — No Byproduct

Monomers with C=C double bonds open their bonds to join. No atoms are lost — the monomer formula equals the repeat unit formula. Requires initiator (free radical or catalyst).

n CH₂=CH₂ → (–CH₂–CH₂–)ₙ
MonomerPolymerUses
Ethene CH₂=CH₂Polyethylene (PE)Bags, bottles
Propene CH₂=CHCH₃Polypropylene (PP)Ropes, carpets
Chloroethene CH₂=CHClPVCPipes, flooring
Tetrafluoroethene CF₂=CF₂PTFE (Teflon)Non-stick coatings
Styrene C₈H₈Polystyrene (PS)Foam, packaging
Condensation Polymerisation

Step Growth — Byproduct Released

Two different functional groups react and release a small molecule (usually H₂O or HCl) with each bond formed. Monomers need two reactive groups each (bifunctional).

Diol + Diacid → Polyester + n H₂O
MonomersPolymerBond
Diamine + DiacidNylon-6,6–CO–NH– (amide)
Diol + DiacidPolyester (PET)–COO– (ester)
Amino acidsProteinsPeptide bond
NucleotidesDNA / RNAPhosphodiester

🔥 Thermoplastics vs Thermosets

  • Thermoplastics: Soften on heating, harden on cooling — recyclable. (PE, PP, PVC, Nylon)
  • Thermosets: Set permanently on heating (cross-linked), cannot be remelted. (Bakelite, epoxy resin)
  • Elastomers: Elastic polymers that snap back (rubber, silicone)

🌍 Environmental Impact

  • Most synthetic polymers are non-biodegradable
  • Photodegradation breaks them into microplastics
  • Biopolymers (PLA, PHA) from renewable sources offer alternatives
  • Recycling codes ♻️ 1–7 identify polymer type

🧬 Biological Polymers

  • Proteins: amino acid monomers, peptide bonds
  • DNA: nucleotide monomers, phosphodiester bonds
  • Starch / Cellulose: glucose monomers, glycosidic bonds
  • All are condensation polymers
// EAS · NAS · Alkynes

Aromatic Chemistry

Benzene's delocalized π system drives a unique preference for substitution over addition. This section covers aromaticity, EAS and NAS mechanisms, directing effects, preparation of benzene, and alkyne chemistry.

Structure & Aromaticity
H H H H H H C₆H₆

Benzene Structure

Six carbon atoms in a planar ring, each bonded to one hydrogen. The π electrons are fully delocalized across all six carbons — not fixed alternating double bonds.

Bond lengths are all equal at 1.40 Å — intermediate between a single (1.54 Å) and double (1.34 Å) bond.

6 π electrons Planar (sp²) Resonance energy ~150 kJ/mol Bond angle 120°
4n + 2

Hückel's Rule

A cyclic, planar, fully conjugated molecule is aromatic if it has 4n + 2 π electrons (n = 0, 1, 2…). Benzene has 6 π electrons (n=1) → aromatic ✅. This extraordinary stability is why benzene strongly prefers substitution over addition.

Electrophilic Aromatic Substitution (EAS)
Nitration
EAS — introduces —NO₂
C₆H₆ + HNO₃ → C₆H₅NO₂ + H₂O
Reagents: conc. HNO₃ / conc. H₂SO₄, 50 °C

H₂SO₄ protonates HNO₃ to generate the nitronium ion (NO₂⁺), the electrophile that attacks the ring.

Halogenation
EAS — introduces —X
C₆H₆ + Cl₂ → C₆H₅Cl + HCl
Reagents: Cl₂ or Br₂ / Lewis acid (FeCl₃ or FeBr₃)

The Lewis acid catalyst polarises the halogen molecule, generating a powerful electrophile (Cl⁺ equivalent) that can attack the ring.

Sulfonation
EAS — introduces —SO₃H
C₆H₆ + H₂SO₄ (fuming) → C₆H₅SO₃H + H₂O
Reagents: fuming H₂SO₄ (oleum), heat

The electrophile is SO₃. Unlike other EAS reactions, sulfonation is reversible — the sulfonic acid group can be removed with steam.

Friedel-Crafts Alkylation
EAS — introduces alkyl group
C₆H₆ + RCl → C₆H₅R + HCl
Reagents: alkyl halide / AlCl₃ (Lewis acid)

AlCl₃ generates a carbocation (R⁺) electrophile. Prone to polyalkylation since the product is more reactive than benzene.

Why Addition Reactions are Rare
Addition would destroy aromaticity

Adding across a double bond breaks the conjugated π system. The molecule loses ~150 kJ/mol of resonance stabilization — a huge energy cost. Substitution avoids this by restoring the ring after attack.

Exception: Hydrogenation

Benzene can undergo addition under forcing conditions — e.g., H₂ / Ni catalyst at high pressure and temperature — yielding cyclohexane. But this requires far harsher conditions than a simple alkene.

C₆H₆ + 3H₂ → C₆H₁₂ (Ni, Δ, high P)
Directing Effects

Substituent Directing Effects in EAS

SubstituentTypeDirects toEffect on rateExample
—OH, —ORElectron-donatingortho / paraActivates (faster)Phenol
—NH₂, —NHRElectron-donatingortho / paraActivates (much faster)Aniline
—CH₃, alkylElectron-donating (inductive)ortho / paraActivates (slightly)Toluene
—NO₂Electron-withdrawingmetaDeactivates (slower)Nitrobenzene
—COOH, —CHOElectron-withdrawingmetaDeactivatesBenzoic acid
—SO₃HElectron-withdrawingmetaDeactivatesBenzenesulfonic acid
—X (halogens)Mixed (–I inductive, +M mesomeric)ortho / paraDeactivates (ring) but o/p directorChlorobenzene
Preparation of Benzene
🏭

Industrial vs Laboratory: Industrially, benzene is obtained mainly from petroleum reforming and coal tar distillation. In the lab, it is synthesised via specific organic reactions.

Catalytic Reforming (Industrial)
Petroleum → Benzene — main industrial source
C₆H₁₂ → C₆H₆ + 3H₂ (Pt/Al₂O₃, 500°C)
Cyclohexane / Pt catalyst, ~500 °C

Naphtha fractions undergo dehydrogenation over a platinum-alumina catalyst. Accounts for the majority of global benzene production.

Coal Tar Distillation (Industrial)
Historic source — still used
Coal → (destructive distillation) → coal tar → C₆H₆
Fractional distillation of light oil fraction (bp 80 °C)

When coal is heated without air, a complex coal tar mixture forms. Fractional distillation yields benzene, toluene, and xylenes. The historic original source of benzene (Faraday, 1825).

Decarboxylation of Benzoic Acid
Laboratory preparation
C₆H₅COOH → C₆H₆ + CO₂ (CaO/NaOH, Δ)
Benzoic acid + soda lime (CaO + NaOH), strong heating

The carboxyl group (—COOH) is removed as CO₂ in the presence of soda lime. A classic lab method — benzoic acid is cheap and readily available.

Wurtz–Fittig Reaction
Laboratory preparation
C₆H₅Br + 2Na + BrCH₃ → C₆H₅CH₃ + 2NaBr
Aryl halide + alkyl halide + Na metal, dry ether

An aryl halide treated with an alkyl halide and sodium metal forms an arene. A modification of the Wurtz reaction involving aryl radicals or carbanions.

Reduction of Phenol
Laboratory preparation
C₆H₅OH → C₆H₆ + ZnO (Zn dust, Δ)
Phenol vapour passed over hot zinc dust

Phenol is reduced to benzene by passing its vapour over heated zinc dust. The —OH group is removed and replaced by —H. Zinc is oxidised to ZnO.

Fittig Reaction
Laboratory preparation
2 C₆H₅Br + 2Na → C₆H₅-C₆H₅ + 2NaBr
Bromobenzene + Na metal, dry ether

Two aryl halides couple using sodium metal, forming a biaryl (biphenyl). Important for making biphenyl used in pharmaceuticals and liquid crystals.

Nucleophilic Aromatic Substitution (NAS)
ℹ️

When does NAS occur? NAS only proceeds when strong electron-withdrawing groups (like —NO₂) are ortho/para to the leaving group, making the ring electron-poor enough to accept a nucleophile.

Addition-Elimination (Meisenheimer)
NAS — activated arenes
ArX + Nu⁻ → [Ar(Nu)(X)]⁻ → ArNu + X⁻
Requires: strong EWG (—NO₂) at ortho/para; good leaving group (F, Cl)

The nucleophile first adds to the ring forming a carbanion intermediate called the Meisenheimer complex. The leaving group then departs, restoring aromaticity. Fluorine is the best leaving group in NAS despite being a poor one in SN2.

SNAr: 2,4-Dinitrochlorobenzene
NAS — classic example
2,4-(NO₂)₂C₆H₃Cl + OH⁻ → 2,4-(NO₂)₂C₆H₃OH + Cl⁻
Reagents: NaOH (aq), heat

The two nitro groups at positions 2 and 4 strongly activate the ring toward nucleophilic attack at C1. Hydroxide displaces chloride via the Meisenheimer complex.

Alkynes — Structure & Bonding
H C C H 1.20 Å

Alkyne Structure (Ethyne)

Carbon atoms in alkynes are sp hybridised — two sp orbitals form σ bonds (linear, 180°), leaving two unhybridised p orbitals each that overlap to form two π bonds alongside the σ bond: a triple bond total.

The triple bond is shorter (1.20 Å) and stronger (~839 kJ/mol) than a double bond. The linear geometry means all four atoms H–C≡C–H are collinear.

sp hybridised Bond angle 180° Triple bond 1.20 Å 1σ + 2π bonds Linear geometry
CₙH₂ₙ₋₂

Homologous Series

Alkynes follow the general formula CₙH₂ₙ₋₂. The simplest is ethyne (acetylene), C₂H₂. Terminal alkynes have the triple bond at the end of the chain (—C≡CH); internal alkynes have it in the middle (R—C≡C—R'). Terminal alkynes are weakly acidic due to the sp C—H bond.

Acidic Properties of Terminal Alkynes
Why are terminal alkynes acidic?

The sp C—H bond in terminal alkynes (R–C≡C–H) has more s-character (50%) than sp² (33%) or sp³ (25%). Greater s-character means the electrons are held closer to the nucleus → the bond is more polar → H is more easily lost as H⁺.

pKₐ ≈ 25 (terminal alkyne) vs 44 (alkane) vs 10 (phenol) vs −1 (HCl)

Reaction with Strong Base / Metal

RC≡CH + NaNH₂ → RC≡CNa + NH₃

2RC≡CH + 2Na → 2RC≡CNa + H₂↑

Terminal alkynes react with sodamide (NaNH₂) or sodium metal to form sodium acetylides (alkynide salts). These are strong nucleophiles — useful for extending carbon chains via SN2 on haloalkanes.

Addition Reactions of Alkynes
Catalytic Hydrogenation
Addition of H₂ — full or partial
RC≡CR' + H₂ → cis-RC(H)=C(H)R' → RCH₂CH₂R'
Full: H₂/Pd–C; Partial (cis-alkene): Lindlar's catalyst

Full hydrogenation over Pd/C gives the alkane. Lindlar's catalyst (poisoned Pd) stops at the cis-alkene. Birch reduction (Na/liq. NH₃) gives the trans-alkene instead.

Halogenation
Addition of X₂ — two steps possible
RC≡CR' + Br₂ → RC(Br)=C(Br)R' + Br₂ → RCBr₂-CBr₂R'
Br₂ in CCl₄ (no light) — decolourises bromine water

Bromine adds across the triple bond in two steps. First equivalent gives a dibromoalkene (trans, anti addition); second gives the tetrabromoalkane. Decolourisation is a positive test for unsaturation.

Hydration (Markovnikov)
Addition of H₂O → carbonyl compound
RC≡CH + H₂O → RC(=O)CH₃ (H₂SO₄/HgSO₄, Δ)
Dil. H₂SO₄ / HgSO₄ catalyst (Kucherov reaction)

Water adds across the triple bond following Markovnikov's rule via an enol intermediate. The enol immediately tautomerises to the more stable ketone. Ethyne gives acetaldehyde since both carbons are equivalent.

Cyclic Trimerisation
Ethyne → Benzene
3 C₂H₂ → C₆H₆ (activated C, 600°C)
Ethyne passed over activated charcoal at 600 °C (Berthelot reaction)

Three molecules of ethyne trimerize to form benzene at high temperature. One of the first synthetic routes to benzene — a conceptual link between alkynes and aromatic chemistry.

// Functional Group Chemistry

Hydrocarbon Derivatives

Hydrocarbon derivatives are organic compounds formed by replacing one or more hydrogen atoms with functional groups. Each class has characteristic reactions governed by the electronic nature of the functional group.

Functional Group Overview

Hydrocarbon Derivative Classes

ClassFunctional GroupGeneral FormulaExampleKey Reaction Type
Haloalkanes—X (F, Cl, Br, I)R—XCH₃ClNucleophilic substitution
Alcohols—OHR—OHCH₃CH₂OHOxidation, esterification
Ethers—O—R—O—R'(CH₃)₂ORelatively inert
Aldehydes—CHORCHOHCHO (methanal)Nucleophilic addition
KetonesC=ORCOR'CH₃COCH₃Nucleophilic addition
Carboxylic Acids—COOHRCOOHCH₃COOHEsterification, decarboxylation
Esters—COO—RCOOR'CH₃COOC₂H₅Hydrolysis, transesterification
Amines—NH₂RNH₂CH₃NH₂Nucleophilic, basic reactions
Amides—CONH₂RCONH₂CH₃CONH₂Hydrolysis
Nitriles—C≡NRCNCH₃CNHydrolysis, reduction
Haloalkanes (Alkyl Halides)
🔑

Key feature: The C—X bond is polar (carbon is δ+) making the carbon susceptible to attack by nucleophiles. Reactivity order: R—I > R—Br > R—Cl > R—F. SN1 favoured by tertiary halides; SN2 by primary halides.

Preparation — From Alcohols
Substitution of —OH by —X
ROH + HBr → RBr + H₂O
HX (conc.) / heat; or PCl₃, PCl₅, SOCl₂ for chlorides

Alcohols react with hydrogen halides to form haloalkanes. SOCl₂ (thionyl chloride) is preferred for chlorides as it gives clean reaction with only gaseous by-products (SO₂ + HCl).

SN2 — Nucleophilic Substitution
Bimolecular — primary halides
R-X + Nu⁻ → R-Nu + X⁻
Strong nucleophile (OH⁻, CN⁻, NH₃), polar aprotic solvent

One-step backside attack — nucleophile attacks from opposite side to leaving group. Results in inversion of configuration (Walden inversion). Rate = k[RX][Nu⁻]. Favoured by primary substrates.

SN1 — Nucleophilic Substitution
Unimolecular — tertiary halides
R₃CX → R₃C⁺ + X⁻ → R₃C-Nu
Polar protic solvent (water, ethanol); weak nucleophile

Two-step mechanism: rate-determining ionisation forms a carbocation, then rapid nucleophile attack. Rate = k[RX] only. Gives racemic mixture (planar carbocation attacked from both sides).

Elimination (E2)
Dehydrohalogenation → alkene
CH₃CH₂Br + KOH → CH₂=CH₂ + KBr + H₂O
Strong base (KOH), hot ethanol (not aqueous)

A base removes a β-hydrogen while the halide leaves, forming an alkene. Hot alcoholic KOH favours elimination; cold aqueous KOH favours substitution. The more substituted alkene is the major product (Zaitsev's rule).

Alcohols
🍶

Classification: Primary (1°) — one alkyl group on C—OH; Secondary (2°) — two; Tertiary (3°) — three. This affects oxidation behaviour: 1° → aldehyde → acid; 2° → ketone (stops); 3° resists oxidation.

Oxidation
1° → aldehyde → acid  |  2° → ketone
RCH₂OH → RCHO → RCOOH (K₂Cr₂O₇/H⁺)
K₂Cr₂O₇ / H₂SO₄ (acidified dichromate) or KMnO₄

Primary alcohols oxidise to aldehydes (with limited oxidant) or carboxylic acids (excess oxidant). Secondary alcohols oxidise to ketones and stop. Tertiary alcohols cannot be oxidised without breaking C—C bonds.

Esterification (Fischer)
Alcohol + carboxylic acid → ester
ROH + R'COOH ⇌ R'COOR + H₂O (H⁺, Δ)
Conc. H₂SO₄ catalyst, heat, reversible equilibrium

Acid-catalysed reversible reaction. Yield improved by using excess of one reagent, removing water, or using a dehydrating agent. The oxygen in the ester comes from the alcohol (shown by isotope labelling).

Dehydration → Alkene
Elimination — intramolecular
CH₃CH₂OH → CH₂=CH₂ + H₂O (conc. H₂SO₄, 170°C)
Conc. H₂SO₄, 170 °C (excess acid); 140 °C gives ether

At high temperature, conc. H₂SO₄ acts as a dehydrating agent, removing water across adjacent C—H and C—OH bonds to give an alkene. At lower temperature (140 °C), intermolecular dehydration gives an ether.

Reaction with Na Metal
Acidic O—H bond
2ROH + 2Na → 2RONa + H₂↑
Sodium metal (solid), room temperature

Alcohols react with sodium (less vigorously than water) releasing hydrogen gas and forming a sodium alkoxide (RONa). This shows alcohols are weakly acidic. Reactivity: 1° > 2° > 3° for this reaction.

Aldehydes & Ketones (Carbonyl Compounds)
Nucleophilic Addition — HCN
Gives cyanohydrin (hydroxynitrile)
RCHO + HCN → RCH(OH)CN
KCN / HCl (aq), or NaCN then HCl

CN⁻ attacks the electrophilic carbonyl carbon, followed by protonation. Extends the carbon chain by one — useful in synthesis. Aldehydes react faster than ketones due to less steric hindrance.

Reduction → Alcohol
Aldehyde → 1° alcohol  |  Ketone → 2° alcohol
RCHO → RCH₂OH (NaBH₄ or LiAlH₄)
NaBH₄ in ethanol (mild); LiAlH₄ in dry ether (powerful)

Hydride (H⁻) is delivered to the carbonyl carbon. Aldehydes give primary alcohols; ketones give secondary alcohols. LiAlH₄ also reduces carboxylic acids and esters; NaBH₄ is more selective.

2,4-DNPH Test (Brady's Test)
Identification of carbonyl compounds
RCHO + 2,4-DNPH → orange/yellow precipitate
2,4-dinitrophenylhydrazine reagent (Brady's reagent)

Aldehydes and ketones react with 2,4-DNPH to form an orange or yellow crystalline hydrazone precipitate. A positive test confirms a C=O group. The melting point of the precipitate can identify the specific compound.

Tollens' & Fehling's Tests
Distinguishing aldehydes from ketones
RCHO + 2[Ag(NH₃)₂]⁺ + 2OH⁻ → RCOO⁻ + 2Ag↓ + 4NH₃
Tollens': silver mirror. Fehling's: brick-red Cu₂O precipitate

Aldehydes are oxidised by Tollens' reagent (silver mirror) and Fehling's solution (red precipitate). Ketones are not oxidised — key distinction. Fehling's also distinguishes aliphatic from aromatic aldehydes.

Carboxylic Acids
Acidic Properties
Weak acid — partial dissociation
RCOOH ⇌ RCOO⁻ + H⁺   pKₐ ≈ 4–5
Aqueous solution; stronger than alcohols/phenols, weaker than mineral acids

React with metals (H₂↑), carbonates (CO₂↑), and bases to form salts. The carboxylate ion (RCOO⁻) is stabilised by resonance — negative charge spread over both oxygens.

Esterification
Acid + alcohol → ester + water
CH₃COOH + C₂H₅OH ⇌ CH₃COOC₂H₅ + H₂O
Conc. H₂SO₄ catalyst, reflux, reversible

Ethanoic acid + ethanol → ethyl ethanoate (fruity smell). Reversible — equilibrium mixture. Yield improved by excess alcohol, removing water, or adding drying agent.

Reduction to Alcohol
Requires powerful reducing agent
RCOOH → RCH₂OH (LiAlH₄, dry ether)
LiAlH₄ in dry ether (NaBH₄ alone cannot reduce —COOH)

Carboxylic acids are harder to reduce than aldehydes/ketones. LiAlH₄ directly gives the primary alcohol in one step. NaBH₄ alone is insufficient for the —COOH group.

Decarboxylation
Loss of CO₂
RCOONa + NaOH → RH + Na₂CO₃ (CaO, Δ)
Sodium salt + soda lime (NaOH/CaO), strong heat

The carboxyl group is removed as CO₂, shortening the carbon chain by one. Classic lab: sodium ethanoate + soda lime → methane. Used industrially to produce simpler hydrocarbons from fatty acid salts.

Esters
Hydrolysis (Acid)
Acid-catalysed — reversible
RCOOR' + H₂O ⇌ RCOOH + R'OH (H⁺, Δ)
Dilute H₂SO₄ or HCl, reflux — reverse of Fischer esterification

Acid hydrolysis is the exact reverse of esterification. Equilibrium mixture — excess water pushes it toward hydrolysis. Gives carboxylic acid + alcohol.

Hydrolysis (Base) — Saponification
Base-catalysed — irreversible
RCOOR' + NaOH → RCOONa + R'OH
NaOH (aq), reflux — goes to completion

Base hydrolysis is irreversible — the carboxylate salt (soap) formed is stable and does not react back with the alcohol. This is the basis of saponification (soap making from fats/oils + NaOH).

Amines
Basic Properties
Lone pair on N acts as base
RNH₂ + H₂O ⇌ RNH₃⁺ + OH⁻
Aqueous solution — weak base (pKb ≈ 3–4)

Amines are basic due to the lone pair on nitrogen. Alkyl groups (electron-donating) increase basicity compared to NH₃. Aromatic amines (aniline) are much weaker bases — the lone pair is delocalised into the ring.

Preparation — Reduction of Nitrile
Nitrile → primary amine
RCN + 2H₂ → RCH₂NH₂ (Ni, Δ)
H₂ / Ni catalyst; or LiAlH₄ in dry ether

Nitriles are reduced to primary amines, extending the carbon chain. LiAlH₄ in ether is the lab method; catalytic hydrogenation is used industrially.

Reaction with Acyl Chlorides
Forms amide (acylation)
RNH₂ + R'COCl → R'CONHR + HCl
Room temperature, no catalyst needed

Amines (as nucleophiles) attack acyl chlorides to form amides. Very fast, exothermic reaction. Used in pharmaceutical synthesis (forming peptide-like bonds).

Diazotisation (Aromatic Amines)
ArNH₂ → diazonium salt
ArNH₂ + NaNO₂ + HCl → ArN₂⁺Cl⁻ + 2H₂O (0–5°C)
NaNO₂ / HCl, 0–5 °C (must keep cold — salt decomposes above 10 °C)

Primary aromatic amines form stable diazonium salts at 0–5 °C. These are versatile intermediates — coupling with phenols/amines gives azo dyes; Sandmeyer reactions give halides, —CN, —OH.

Amides & Nitriles
Amide Preparation
From acid + amine or acyl chloride + amine
CH₃COOH + NH₃ → CH₃CONH₂ + H₂O (Δ)
Ammonium salt heated strongly; or acyl chloride + NH₃ (fast, room temp)

The amide bond (—CO—NH—) is the basis of peptide bonds in proteins and nylon. Acyl chlorides react immediately with ammonia — much faster route than heating ammonium salts.

Amide Hydrolysis
Acid or base hydrolysis → acid + amine
RCONH₂ + H₂O → RCOOH + NH₃ (H⁺ or OH⁻, Δ)
Dilute acid or alkali, prolonged reflux (amide bond is strong)

Amides hydrolyse slowly under reflux. Base hydrolysis gives carboxylate salt + ammonia gas — which turns damp red litmus blue (useful identification test).

Nitrile from Haloalkanes
SN2 — carbon chain extension
RBr + KCN → RCN + KBr (ethanol, Δ)
KCN in ethanol, heat — use KCN not HCN (safer)

CN⁻ is an excellent nucleophile — displaces halide via SN2, adding one carbon to the chain. Important synthetic step for making longer-chain carboxylic acids or amines.

Nitrile Hydrolysis → Carboxylic Acid
Via amide intermediate
RCN + H₂O → RCONH₂ + H₂O → RCOOH + NH₄⁺
Dilute acid, prolonged reflux; goes via amide

Nitriles hydrolyse to amides, then to carboxylic acids. Gives a carboxylic acid with one more carbon than the starting alcohol/halide — useful chain extension in synthesis.

// Ring Structures & Conformations

Cyclic Hydrocarbons

Cyclic hydrocarbons are ring-shaped molecules where carbon atoms form a closed loop. They are divided into alicyclic (non-aromatic) and aromatic classes. Ring size and saturation determine stability, physical properties, and reactivity.

What Are Cyclic Hydrocarbons?
🔄

Cyclic hydrocarbons are divided into alicyclic (non-aromatic — cycloalkanes, cycloalkenes) and aromatic (benzene and derivatives). Ring size and saturation determine physical properties, stability, and reactivity.

Ring Structures
C C C 60°
Cyclopropane
C₃H₆ · 3-membered
high strain
C C C C 90°
Cyclobutane
C₄H₈ · 4-membered
moderate strain
C C C C C 108°
Cyclopentane
C₅H₁₀ · 5-membered
nearly strain-free
C C C C C C 111°
Cyclohexane
C₆H₁₂ · 6-membered
strain-free (chair)
High angle strain Strain-free / minimal Transannular / torsional strain
Cyclohexane Conformations
axial bonds (dashed)
Chair Conformation
Most stable — no angle or torsional strain
⚡ flagpole flagpole H clash
Boat Conformation
Less stable — flagpole H–H repulsion

Cyclohexane rapidly interconverts between chair conformations at room temperature. Large substituents (e.g. —C(CH₃)₃) prefer the equatorial position to avoid 1,3-diaxial steric clashes.

Ring Strain & Stability

Cycloalkane Ring Strain (Baeyer Strain Theory)

RingFormulaBond AngleDeviation from sp³ (109.5°)StabilityNotes
Cyclopropane (3)C₃H₆60°−49.5°Very unstableBanana bonds, reacts like alkene
Cyclobutane (4)C₄H₈90°−19.5°UnstablePuckered to reduce torsional strain
Cyclopentane (5)C₅H₁₀108°−1.5°Nearly strain-freeEnvelope conformation
Cyclohexane (6)C₆H₁₂111°+1.5°Strain-free (chair)Chair conformation; most stable
Cycloheptane (7)C₇H₁₄128°+18.5°Moderate strainTorsional + transannular strain
Cyclooctane (8)C₈H₁₆135°+25.5°Medium ring strainTransannular H–H repulsion
Reactions
Ring-Opening of Cyclopropane
Addition — unique to small rings
C₃H₆ + Br₂ → BrCH₂CH₂CH₂Br
Br₂ (aq or CCl₄), room temperature — no catalyst needed

Cyclopropane's extreme angle strain makes it react like an alkene — the ring opens via electrophilic addition. Bromine water is decolourised. Larger rings do not undergo ring-opening addition.

Combustion
Complete oxidation
C₆H₁₂ + 9O₂ → 6CO₂ + 6H₂O
Excess O₂, ignition

Cycloalkanes burn in excess oxygen to give CO₂ and H₂O. The enthalpy of combustion per CH₂ unit is slightly higher for strained rings — direct calorimetric evidence for ring strain.

Halogenation of Cyclohexane
Free-radical substitution (not addition)
C₆H₁₂ + Cl₂ → C₆H₁₁Cl + HCl (UV)
Cl₂ / UV light (hν), gas phase

Unstrained cycloalkanes (C5+) undergo free-radical substitution rather than ring-opening addition — just like open-chain alkanes. All H atoms are equivalent in cyclohexane, so only one monosubstituted product forms.

Hydrogenation of Cycloalkenes
Addition across the double bond
C₆H₁₀ + H₂ → C₆H₁₂ (Ni, Δ)
H₂ / Ni or Pt catalyst, heat

Cycloalkenes undergo catalytic hydrogenation at the double bond to give cycloalkanes — ring remains intact. Cyclohexene → cyclohexane. Heat of hydrogenation is higher for strained rings, reflecting stored ring energy.

General Formulae Summary

Cyclic Hydrocarbon Formulae & Properties

TypeGeneral FormulaDegrees of UnsaturationTypical ReactionsExample
CycloalkaneCₙH₂ₙ1 (ring only)Substitution (radical), combustionCyclohexane C₆H₁₂
CycloalkeneCₙH₂ₙ₋₂2 (ring + one C=C)Electrophilic addition, hydrogenationCyclohexene C₆H₁₀
CycloalkadieneCₙH₂ₙ₋₄3 (ring + two C=C)Addition, Diels-Alder (conjugated)1,3-Cyclohexadiene C₆H₈
Arene (benzene)CₙH₂ₙ₋₆4 (ring + 3 delocalised)EAS (substitution preferred)Benzene C₆H₆
Small ring (strained)CₙH₂ₙ (n=3,4)1Ring-opening addition (like alkenes)Cyclopropane C₃H₆
// Hydroxyl Group Chemistry

Alcohols & Phenols

Alcohols contain —OH bonded to a saturated sp³ carbon; phenols have —OH bonded directly to a benzene ring. This structural difference dramatically changes acidity, reactivity, and chemical behaviour.

What Are Alcohols?
🍶

Alcohols contain one or more hydroxyl groups (—OH) bonded to a saturated sp³ carbon. General formula for monohydric alcohols: CₙH₂ₙ₊₁OH. The C—O—H bond angle is ~108.5°. Alcohols are polar and capable of hydrogen bonding — giving them higher boiling points than comparable alkanes.

C C O H H H H H H-bond 108.5°

Ethanol — C₂H₅OH

The hydroxyl group (—OH) is the defining functional group. Oxygen is sp³ hybridised with two lone pairs, making the C—O—H angle ~108.5°.

Hydrogen bonding between —OH groups raises the boiling point dramatically: ethanol bp = 78 °C vs ethane bp = −89 °C (similar MW, no H-bonding).

—OH functional group sp³ oxygen H-bonding bp 78 °C Miscible with water
Nomenclature of Alcohols

IUPAC Nomenclature — Examples

Molecular FormulaStructural FormulaIUPAC NameCommon NameNotes
CH₄OCH₃—OHMethanolWood alcoholSimplest alcohol, toxic
C₂H₆OCH₃CH₂—OHEthanolGrain alcoholBeverages, fuel, solvent
C₃H₈OCH₃CH₂CH₂—OHPropan-1-oln-Propanol—OH on C1
C₃H₈OCH₃CH(OH)CH₃Propan-2-olIsopropanol (IPA)—OH on C2, secondary
C₄H₁₀O(CH₃)₃C—OH2-Methylpropan-2-oltert-ButanolTertiary, branched
C₂H₆O₂HO—CH₂CH₂—OHEthane-1,2-diolEthylene glycolDihydric, antifreeze
C₃H₈O₃HOCH₂CH(OH)CH₂OHPropane-1,2,3-triolGlycerolTrihydric, in fats/oils
Chemical Properties of Alcohols
Reaction with Sodium
Acidic O—H bond
2ROH + 2Na → 2RONa + H₂↑
Sodium metal, room temperature — less vigorous than water

Alcohols react with sodium to release hydrogen gas and form sodium alkoxides (RONa). Reactivity: 1° > 2° > 3° (steric hindrance). This confirms the weakly acidic nature of the O—H bond (pKₐ ~16–18).

Oxidation
1° → aldehyde → acid  |  2° → ketone  |  3° → no reaction
RCH₂OH → RCHO → RCOOH (K₂Cr₂O₇/H⁺, Δ)
Acidified K₂Cr₂O₇ or KMnO₄; orange → green colour change

Primary alcohols oxidise stepwise to aldehydes then carboxylic acids. Distilling the aldehyde removes it before further oxidation. Secondary alcohols stop at ketones. Tertiary alcohols cannot be oxidised without C—C bond cleavage.

Dehydration → Alkene
Elimination — conc. H₂SO₄
CH₃CH₂OH → CH₂=CH₂ + H₂O (conc. H₂SO₄, 170°C)
Conc. H₂SO₄, 170 °C → alkene; 140 °C → ether (intermolecular)

At 170 °C: intramolecular dehydration gives alkene. At 140 °C: two alcohol molecules lose water to give an ether. The more substituted (Zaitsev) alkene is the major product from secondary/tertiary alcohols.

Esterification
Alcohol + carboxylic acid ⇌ ester + water
ROH + R'COOH ⇌ R'COOR + H₂O (H⁺, Δ)
Conc. H₂SO₄ catalyst, reflux — reversible equilibrium

The oxygen in the ester comes from the alcohol (proven by ¹⁸O isotope labelling). Yield improved by excess alcohol, removing water, or using a drying agent.

Lucas Test — Distinguishing 1°, 2°, 3°

Lucas Test (ZnCl₂ / conc. HCl)

Alcohol TypeObservationTimeReason
Tertiary (3°)Immediate cloudiness / turbidity< 1 minStable 3° carbocation — fast SN1
Secondary (2°)Cloudiness within 5 min~5 minLess stable 2° carbocation — slower SN1
Primary (1°)No turbidity at room temperatureNo reaction1° doesn't form carbocation easily — only reacts on heating
Phenols
⚗️

Phenols are compounds where —OH is attached directly to a benzene ring. The lone pairs on oxygen delocalise into the ring, making phenols significantly more acidic than alcohols (pKₐ ~10 vs ~16). The ring is activated toward EAS at ortho and para positions.

OH H H H H H ortho ortho para

Phenol (C₆H₅OH)

The —OH group is bonded directly to the aromatic ring. The oxygen lone pairs delocalise into the π system, weakening the O—H bond and making phenol acidic (pKₐ ≈ 10) — much stronger acid than alcohols (pKₐ ≈ 16).

The ring is activated — electron density increases at the ortho and para positions, directing EAS to those positions.

pKₐ ≈ 10 Stronger acid than alcohols o/p director Ring activation bp 182 °C
Chemical Properties of Phenols
Acidity — Reaction with NaOH
Phenol is a weak acid — reacts with strong base
C₆H₅OH + NaOH → C₆H₅ONa + H₂O
NaOH(aq), room temperature — unlike alcohols which don't react with NaOH

Phenol reacts with NaOH to form sodium phenoxide (soluble). Alcohols do NOT react with NaOH — this is the key chemical distinction. Phenol is acidic enough to react with carbonates too.

EAS — Bromination
No Lewis acid needed — ring is highly activated
C₆H₅OH + 3Br₂(aq) → C₆H₂Br₃OH↓ + 3HBr
Bromine water (no FeBr₃ needed) — immediate white precipitate

Phenol reacts instantly with bromine water to give 2,4,6-tribromophenol as a white precipitate. All three activated positions are substituted simultaneously. Used as a qualitative test for phenol.

EAS — Nitration
Mild conditions — dilute HNO₃ sufficient
C₆H₅OH + HNO₃ → ortho + para-nitrophenol (dil., r.t.)
Dilute HNO₃, room temperature — no H₂SO₄ needed

Phenol reacts with dilute nitric acid (no catalyst needed) to give a mixture of ortho- and para-nitrophenol. Concentrated HNO₃/H₂SO₄ gives 2,4,6-trinitrophenol (picric acid). Much milder than for benzene.

FeCl₃ Test for Phenols
Identification — colour test
C₆H₅OH + FeCl₃ → violet/purple complex
Aqueous FeCl₃ solution, room temperature

Phenols form a characteristic violet or purple complex with iron(III) chloride solution. Alcohols give no colour with FeCl₃. This is a key identification test to distinguish phenols from alcohols.

Reaction with Na Metal
More vigorous than alcohols
2C₆H₅OH + 2Na → 2C₆H₅ONa + H₂↑
Sodium metal — reacts faster than alcohols due to higher acidity

Like alcohols, phenol reacts with sodium to release H₂ and form sodium phenoxide. The reaction is more vigorous because phenol is a stronger acid. The phenoxide ion is stabilised by resonance with the ring.

Kolbe–Schmitt Reaction
Carboxylation — industrial synthesis of aspirin precursor
C₆H₅ONa + CO₂ → HO-C₆H₄-COONa (125°C, 5 atm)
Sodium phenoxide + CO₂, 125 °C, 5 atm — gives sodium salicylate

Sodium phenoxide reacts with CO₂ under pressure to give sodium salicylate, which on acidification gives salicylic acid — the precursor to aspirin. Classic industrial process in pharma.

Alcohol vs Phenol — Key Differences

Comparison: Alcohols vs Phenols

PropertyAlcohols (R—OH)Phenols (Ar—OH)
—OH attached toSaturated sp³ carbonAromatic ring (sp²)
Acidity (pKₐ)~16–18 (weak)~10 (much stronger)
Reaction with NaOHNo reactionReacts → sodium phenoxide
Reaction with Na₂CO₃No reactionReacts → CO₂ not evolved
FeCl₃ testNo colourViolet / purple colour
Bromine waterNo reaction (saturated)Immediate white ppt (tribromophenol)
OxidationOxidised by K₂Cr₂O₇Ring resists simple oxidation
EsterificationEasy (+ RCOOH / H⁺)Requires acyl chloride / anhydride
Lone pair delocalisationNo (sp³ O)Yes — into aromatic π system
// Named Reactions & Strategy

Organic Synthesis

Organic synthesis is the art of building target molecules from simpler starting materials by choosing the right sequence of reactions. Understanding retrosynthetic analysis — working backwards from the target — is the key skill.

Retrosynthetic Analysis

Target Molecule
Product (TM)
⟹ (retrosynthetic arrow)
Precursor A + Precursor B
Starting Materials
1Identify the key bond to form in the last step (most complex bond in the TM)
2Choose a reaction that forms that bond — set your disconnection
3Work backwards until you reach commercially available starting materials
4Consider selectivity: regioselectivity (where?), stereoselectivity (which face?)

Named Reactions

Grignard Reaction C–C Bond Formation
R–X + Mg → R–MgX  →  R–MgX + C=O → R–C–OH
Reagents: Alkyl halide, Mg metal (dry ether)
Product: Alcohol (primary from HCHO, secondary from RCHO, tertiary from ketone)
Condition: Anhydrous — water destroys Grignard reagent
Friedel-Crafts Alkylation Aromatic Substitution
ArH + R–Cl → Ar–R + HCl
Reagents: Alkyl halide + AlCl₃ (Lewis acid catalyst)
Product: Alkylbenzene
Limitation: Carbocation rearrangement may occur; over-alkylation possible
Friedel-Crafts Acylation Aromatic Substitution
ArH + RCOCl → Ar–CO–R + HCl
Reagents: Acyl halide + AlCl₃
Product: Aryl ketone (no rearrangement — preferred over alkylation)
Follow-up: Reduce ketone with Clemmensen or Wolff–Kishner to get alkylbenzene cleanly
Aldol Condensation C–C Bond Formation
2 CH₃CHO → CH₃CH(OH)CH₂CHO → CH₃CH=CHCHO + H₂O
Reagents: Aldehyde or ketone with α-hydrogen; dilute NaOH (base catalyst)
Product: β-hydroxy carbonyl (aldol) then α,β-unsaturated carbonyl (condensation)
Key: Enolate attacks carbonyl carbon of second molecule
Diels-Alder Reaction Cycloaddition
Diene + Dienophile → Cyclohexene (6-membered ring)
Reagents: Conjugated diene (s-cis conformation) + electron-poor dienophile
Product: Cyclohexene — stereospecific (syn addition, endo rule)
Key: [4+2] concerted pericyclic reaction — no intermediates
Wittig Reaction C=C Bond Formation
R₂C=O + Ph₃P=CR'₂ → R₂C=CR'₂ + Ph₃P=O
Reagents: Carbonyl compound + phosphorus ylide (Ph₃P=CR'₂)
Product: Alkene with precise double bond position (no ambiguity)
Advantage: Unlike elimination, the C=C is formed exactly where you want it
Williamson Ether Synthesis C–O Bond Formation
R–O⁻ + R'–X → R–O–R' + X⁻
Reagents: Alkoxide (from alcohol + NaH or Na) + primary alkyl halide
Product: Asymmetric or symmetric ether
Mechanism: SN2 — use primary alkyl halide to avoid E2 competition
Esterification (Fischer) Condensation
R–COOH + R'–OH ⇌ R–COO–R' + H₂O
Reagents: Carboxylic acid + alcohol, H⁺ catalyst (H₂SO₄)
Product: Ester + water (reversible — drive forward by removing water)
Mechanism: Nucleophilic acyl substitution via tetrahedral intermediate
SN2 Substitution Nucleophilic Sub.
Nu⁻ + R–X → Nu–R + X⁻ (backside attack)
Best with: Primary alkyl halides, strong nucleophiles (OH⁻, CN⁻, I⁻)
Stereochemistry: Inversion of configuration (Walden inversion)
Rate: Depends on both nucleophile and substrate (bimolecular)
SN1 Substitution Nucleophilic Sub.
R–X → R⁺ + X⁻ → R⁺ + Nu⁻ → R–Nu
Best with: Tertiary > secondary alkyl halides, polar protic solvents
Stereochemistry: Racemic mixture (flat carbocation attacks from both sides)
Rate: Depends only on substrate (unimolecular) — first-order kinetics
E2 Elimination Elimination
R–CHBr–CH₂ + KOH(alc) → R–CH=CH₂ + KBr + H₂O
Reagents: Strong base in alcoholic solution (KOH/ethanol, NaOEt)
Regioselectivity: Zaitsev's rule — more substituted (more stable) alkene preferred
Mechanism: Concerted — anti periplanar H and X required (trans elimination)
Markovnikov Addition Electrophilic Addition
CH₃–CH=CH₂ + HBr → CH₃–CH₂–CH₂Br (minor, anti-Markovnikov) or CH₃–CHBr–CH₃ (major, Markovnikov)
Rule: H adds to the carbon that already has more H atoms (forms more stable 2° carbocation vs 1°)
Anti-Markovnikov: Hydroboration-oxidation (BH₃/THF then H₂O₂/NaOH) — H adds to less substituted C
Why propene? Ethene (CH₂=CH₂) is symmetric — Markovnikov's rule only matters with asymmetric alkenes where the two carbons differ

SN1 / SN2 / E1 / E2 Comparison

Factor SN1 SN2 E1 E2
Substrate3° > 2°1° > 2°3° > 2°3° > 2° > 1°
Nucleophile/BaseWeak NuStrong NuWeak baseStrong base
SolventPolar proticPolar aproticPolar proticPolar aprotic / alc.
Mechanism2 steps (carbocation)1 step (concerted)2 steps1 step (concerted)
StereochemistryRacemisationInversionRacemisationAnti periplanar
Kinetics1st order2nd order1st order2nd order
RearrangementYesNoYesNo

Protecting Groups

Why Protect?

When a molecule has two reactive functional groups and you want to react only one, the other must be temporarily protected. Then you react the exposed group, and finally deprotect to reveal the original group.

–OH → –OTMS → react elsewhere → –OH

Common Protecting Groups

  • Alcohols: TMS ether, THP ether, benzyl ether
  • Carboxylic acids: Methyl ester, benzyl ester
  • Amines: Boc (t-butyloxycarbonyl), Cbz
  • Aldehydes/Ketones: Acetal (1,3-dioxolane)

Synthetic Strategy Tips

  • Build the carbon skeleton first, then add functional groups
  • Plan stereochemistry at each step — early control is easier
  • Always check atom economy (waste minimisation)
  • Consider convergent synthesis for large targets
⚗️
Chapter 02
General Chemistry
Ions, moles, thermochemistry, nuclear, bonding, reactions, acids, electrochemistry, gas laws, equilibrium, and solutions.
28 Sections
// Quick Reference

Chemistry Glossary

Core chemistry terms and their meanings — the essential vocabulary for understanding all branches of chemistry.

01

Atom

The smallest unit of an element that retains its chemical properties. Composed of protons, neutrons, and electrons.

02

Molecule

Two or more atoms chemically bonded together. Ex: H₂O, CO₂, O₂

03

Element

A pure substance made of only one kind of atom. Cannot be broken down by chemical means. Ex: Hydrogen (H), Oxygen (O)

04

Compound

A substance formed when two or more different elements combine chemically in a fixed ratio. Ex: NaCl, H₂O, CO₂

05

Mixture

A physical combination of two or more substances that are not chemically bonded. Can be separated physically. Ex: Air (N₂, O₂, CO₂…), sand + water

06

Ion

An atom or molecule that carries an electric charge due to gaining or losing electrons. Ex: Na⁺, Cl⁻, SO₄²⁻

07

Cation

A positively charged ion formed by the loss of electrons. Ex: Na⁺ (sodium loses 1e⁻), Ca²⁺

08

Anion

A negatively charged ion formed by the gain of electrons. Ex: Cl⁻ (chlorine gains 1e⁻), O²⁻

09

Acid

A substance that donates protons (H⁺) or produces hydrogen ions in aqueous solution. pH < 7. Ex: HCl, H₂SO₄, CH₃COOH

10

Base

A substance that accepts protons or produces hydroxide ions (OH⁻) in aqueous solution. pH > 7. Ex: NaOH, KOH, NH₃

11

Salt

An ionic compound formed by the reaction of an acid and a base (neutralisation). Ex: NaCl, CaSO₄, K₂CO₃

12

Solution

A homogeneous mixture where a solute is uniformly dissolved in a solvent. Ex: Salt water, sugar water

13

Solute

The substance that is dissolved in a solution. Present in lesser amount. Ex: Salt in salt water

14

Solvent

The substance that dissolves the solute to form a solution. Present in greater amount. Ex: Water (universal solvent)

15

Reaction

A process in which substances (reactants) undergo chemical change to form new substances (products). Bonds break and form. Ex: A + B → C

16

pH

A scale (0–14) that measures the acidity or basicity of a solution. pH = −log[H⁺]. pH 7 = neutral, <7 = acidic, >7 = basic.

17

Catalyst

A substance that increases the rate of a chemical reaction without being consumed. Lowers activation energy. Ex: MnO₂, enzymes, Pt

18

Electrolyte

A substance that produces ions when dissolved in water, allowing the solution to conduct electricity. Ex: NaCl, HCl, KOH

Chemistry Abbreviations & Full Forms

pHPotential of Hydrogen
DNADeoxyribonucleic Acid
RNARibonucleic Acid
ATPAdenosine Triphosphate
LPGLiquefied Petroleum Gas
CNGCompressed Natural Gas
PVCPolyvinyl Chloride
DDTDichloro Diphenyl Trichloroethane
TNTTrinitrotoluene
BHCBenzene Hexachloride
STPStandard Temperature & Pressure (0°C, 1 atm)
RTPRoom Temperature & Pressure (25°C, 1 atm)
EMFElectromotive Force
KMnO₄Potassium Permanganate
K₂Cr₂O₇Potassium Dichromate
Na₂S₂O₃Sodium Thiosulphate (Hypo)
CaSO₄·2H₂OCalcium Sulphate Dihydrate (Gypsum)
MgSO₄·7H₂OMagnesium Sulphate (Epsom Salt)
Na₂CO₃·10H₂OSodium Carbonate Decahydrate (Washing Soda)
CaSO₄·½H₂OCalcium Sulphate Hemihydrate (Plaster of Paris)
CuSO₄·5H₂OCopper Sulphate Pentahydrate (Blue Vitriol)
FeSO₄·7H₂OFerrous Sulphate Heptahydrate (Green Vitriol)
Pb(NO₃)₂Lead Nitrate
Na₃PO₄Sodium Phosphate
// Metal Activity

Reactivity Series

The reactivity series ranks metals (and hydrogen) from most reactive to least reactive. A more reactive metal can displace a less reactive one from its compound in solution.

▲ Most Reactive
1
19K
PotassiumReacts violently with cold water, releases H₂
2
11Na
SodiumReacts vigorously with cold water
3
3Li
LithiumReacts with cold water, less vigorously than Na
4
20Ca
CalciumReacts with cold water, forms Ca(OH)₂
5
12Mg
MagnesiumReacts with hot water and steam
6
13Al
AluminiumReacts with steam, protected by oxide layer
7
6C
CarbonNon-metal; used as reducing agent in extraction
8
30Zn
ZincReacts with steam; used in galvanising
9
26Fe
IronReacts with steam; rusts in air/water
10
28Ni
NickelReacts slowly with steam; used in batteries
11
50Sn
TinReacts with steam only
12
82Pb
LeadBarely reacts with water; below hydrogen
1H
HydrogenReference point; not a metal
13
29Cu
CopperDoes not react with water; used in wiring
14
80Hg
MercuryLiquid metal; very low reactivity, used in thermometers
15
47Ag
SilverVery unreactive; tarnishes in H₂S
16
79Au
GoldVirtually inert; found native in nature
17
78Pt
PlatinumMost unreactive metal; used as catalyst
▼ Least Reactive
✅ Displacement Rule

A more reactive metal displaces a less reactive one from its salt solution.

Zn + CuSO₄ → ZnSO₄ + Cu
Fe + CuSO₄ → FeSO₄ + Cu
💧 Reaction with Water

K, Na, Li, and Ca react with cold water. Mg reacts with hot water/steam. Metals below Mg react only with steam or dilute acids.

2Na + 2H₂O → 2NaOH + H₂↑
Mg + H₂O(steam) → MgO + H₂
⚗️ Extraction Method
K, Na, Li, Ca, Mg, AlElectrolysis
C, Zn, Fe, Ni, Sn, PbReduction with Carbon (coke)
Cu, Hg, Ag, Au, PtFound native or simple heating
🧪 Reaction with Dilute Acids

Metals above hydrogen react with dilute acids to produce a salt + hydrogen gas.

Zn + H₂SO₄ → ZnSO₄ + H₂↑
Fe + 2HCl → FeCl₂ + H₂↑

Metals below H (Cu, Hg, Ag, Au, Pt) do NOT react with dilute acids.

// Ionic Reference

Ions & Charges

Common cations (positive ions) and anions (negative ions) organized by charge. The building blocks of ionic compounds.

⊕ Cations — Positive Ions

1+

LithiumLi⁺
PotassiumK⁺
SodiumNa⁺
SilverAg⁺
HydrogenH⁺
Ammonium(NH₄)⁺
Copper ICu⁺

2+

MagnesiumMg²⁺
CalciumCa²⁺
BariumBa²⁺
ZincZn²⁺
Lead IIPb²⁺
Copper IICu²⁺
Iron IIFe²⁺
NickelNi²⁺

3+

AluminumAl³⁺
AntimonySb³⁺
BoronB³⁺
Iron IIIFe³⁺
ChromiumCr³⁺
⊖ Anions — Negative Ions

1−

FluorideF⁻
ChlorideCl⁻
BromideBr⁻
IodideI⁻
Nitrate(NO₃)⁻
Nitrite(NO₂)⁻
Bicarbonate(HCO₃)⁻
Hydroxide(OH)⁻
Permanganate(MnO₄)⁻
Aluminate(AlO₂)⁻
Cyanate(CNO)⁻
Acetate(CH₃COO)⁻

2−

OxideO²⁻
SulphideS²⁻
Sulphate(SO₄)²⁻
Sulphite(SO₃)²⁻
Carbonate(CO₃)²⁻
Dichromate(Cr₂O₇)²⁻
Zincate(ZnO₂)²⁻
Silicate(SiO₃)²⁻

3−

NitrideN³⁻
PhosphideP³⁻
Phosphate(PO₄)³⁻
Arsenate(AsO₄)³⁻

Atomic Mass Reference

SymbolHLiNNaSKCClO
Mass17142332391235.516
SymbolAlCaPSiAgFeBaMgCu
Mass27403128107561372463.5

Common Polyatomic Ions

Multi-atom ions that behave as a single charged unit in ionic compounds.

⊕ Positive Polyatomic
AmmoniumNH₄⁺
HydroniumH₃O⁺
⊖ 1− Anions
AcetateC₂H₃O₂⁻
AzideN₃⁻
BenzoateC₇H₅O₂⁻
BromateBrO₃⁻
ChlorateClO₃⁻
ChloriteClO₂⁻
CyanideCN⁻
Dihydrogen phosphateH₂PO₄⁻
Hydrogen carbonateHCO₃⁻
Hydrogen sulfideHS⁻
Hydrogen sulfiteHSO₃⁻
Hydrogen sulfateHSO₄⁻
HydroxideOH⁻
HypochloriteClO⁻
IodateIO₃⁻
NitrateNO₃⁻
NitriteNO₂⁻
PerchlorateClO₄⁻
PermanganateMnO₄⁻
ThiocyanateSCN⁻
⊖ 2− Anions
CarbonateCO₃²⁻
ChromateCrO₄²⁻
DichromateCr₂O₇²⁻
Hydrogen phosphateHPO₄²⁻
OxalateC₂O₄²⁻
PeroxideO₂²⁻
SilicateSiO₃²⁻
SulfateSO₄²⁻
SulfiteSO₃²⁻
TartrateC₄H₄O₆²⁻
ThiosulfateS₂O₃²⁻
⊖ 3− Anions
ArsenateAsO₄³⁻
ArseniteAsO₃³⁻
BorateBO₃³⁻
PhosphatePO₄³⁻
PhosphitePO₃³⁻
CitrateC₆H₅O₇³⁻
// Counting Matter

The Mole Concept

The mole is chemistry's counting unit — a "mole" means 6.02 × 10²³ particles (Avogadro's number). Cover the unknown quantity in each triangle to find the formula to use.

💡 Real-World Scale

1 mole of rice grains would cover Earth to ~75 metres depth. Yet 1 mole of carbon weighs just 12 grams — that's why the mole bridges atomic-scale counting and lab-scale measurement.

NO. OF
PARTICLES
MOLES
6.02×10²³
Particles ↔ Moles
MASS
(g)
MOLES
MOLAR
MASS
Mass ↔ Moles
VOLUME
(L)
MOLES
22.4 L/mol
Volume ↔ Moles (STP)

Stoichiometry — Mole Ratios

The coefficients in a balanced equation give the mole ratio of each substance. Use them as a bridge to convert between moles of any reactant or product.

1
Write & balance the equation — e.g. N₂ + 3H₂ → 2NH₃
2
Convert mass → moles: n = mass ÷ molar mass
3
Apply mole ratio from the equation coefficients.
4
Convert moles → mass / volume / particles as required.

📐 Example

How many moles of NH₃ form from 6 mol H₂?
Ratio: 3 mol H₂ : 2 mol NH₃ → 6 mol H₂ × (2/3) = 4 mol NH₃

Limiting & Excess Reagents

The limiting reagent is the reactant that runs out first and determines the maximum yield. The other reactant is in excess.

1
Convert all reactants to moles.
2
Divide each by its coefficient in the balanced equation.
3
Smallest result = limiting reagent. Use it to calculate theoretical yield.
4
% Yield = (Actual Yield ÷ Theoretical Yield) × 100

⚗️ Worked Example

2H₂ + O₂ → 2H₂O. You have 5 mol H₂ and 2 mol O₂.
H₂: 5÷2 = 2.5  |  O₂: 2÷1 = 2.0
O₂ is limiting → 2 mol O₂ × 2 = 4 mol H₂O formed.

📊 % Yield Formula

% Yield = (Actual ÷ Theoretical) × 100

Always ≤ 100%. Losses occur from incomplete reactions, side reactions, or transfer losses.

Empirical & Molecular Formulae

Empirical Formula

Simplest whole-number ratio of atoms. e.g. CH₂O (glucose simplified). Found from % composition data.

Molecular Formula

Actual number of atoms. e.g. C₆H₁₂O₆ (glucose). = Empirical × n, where n = Molar Mass ÷ Empirical Mass.

1
Assume 100 g sample → % values become grams directly.
2
Divide each mass by its molar mass to get moles of each element.
3
Divide all by the smallest mole value to get the simplest ratio.
4
Multiply by n if given molar mass to get molecular formula: n = Mᵣ ÷ Empirical Mass

Concentration & Molarity

C = n ÷ V
C
Concentration (mol/L)
n
Moles (mol)
V
Volume (L)

🧪 Dilution Formula

C₁V₁ = C₂V₂

Moles of solute stay constant when diluting. Multiply initial concentration × volume = final concentration × volume.

💡 Key Units

  • mol/L = M = molarity
  • Volume must be in litres
  • 1 mL = 0.001 L
  • ppm = mg per litre (dilute aq.)

⚗️ Titration Link

At equivalence point: moles acid = moles base (for 1:1 reactions). Use C = n ÷ V to find unknown concentration from titre volume.

Energy Unit Conversions

CALORIE
× 4.18
JOULE
JOULE
÷ 4.18
CALORIE

🔥 Why 4.18?

1 calorie = energy to raise 1g water by 1°C = 4.18 joules. Always check which unit is expected before solving.

SI Units

The International System of Units (SI) defines 7 base units from which all other measurement units are derived.

Base Units
QuantitySI UnitSymbol
Lengthmetrem
Masskilogramkg
Timeseconds
Electric CurrentampereA
TemperaturekelvinK
Amount of Substancemolemol
Luminous Intensitycandelacd
Common Derived Units
QuantityUnitSymbol
ForcenewtonN
EnergyjouleJ
PowerwattW
PressurepascalPa
FrequencyhertzHz
Electric ChargecoulombC
VoltagevoltV
Speed / Velocitymetre/secondm/s

🌡️ Temperature Conversions

K = °C + 273.15  |  °C = K − 273.15  |  °F = (°C × 9/5) + 32
Always use Kelvin in gas law and thermodynamic calculations — never Celsius.

// Energy & Heat

Thermochemistry

Thermochemistry studies heat changes in chemical reactions. Every reaction either releases or absorbs energy — understanding this predicts spontaneity and drives industrial design.

Exothermic Reactions

Release heat to surroundings. ΔH is negative. Products at lower energy than reactants. Examples: combustion, neutralisation, rusting of iron.

Endothermic Reactions

Absorb heat from surroundings. ΔH is positive. Products at higher energy. Examples: photosynthesis, dissolving NH₄NO₃, thermal decomposition.

Enthalpy (ΔH)

ΔH = Hproducts − Hreactants. Measured at 25°C and 1 atm (standard conditions). We can only measure changes, never absolute enthalpy.

Types of Systems

Open System
Mass TransferYES
Heat TransferYES

e.g. Boiling pot without a lid

Closed System
Mass TransferNO
Heat TransferYES

e.g. A sealed container

Isolated System
Mass TransferNO
Heat TransferNO

e.g. A perfect thermos

Heat Formula

Q = m × c × ΔT
Q
Heat energy (J)
m
Mass (g)
c
Specific heat capacity
ΔT
Temp change (T₂−T₁)

Exothermic vs. Endothermic

PropertyExothermicEndothermic
ΔH− VE+ VE
HeatReleases energyAbsorbs energy
ΔTRises (+)Drops (−)
Energy diagramProducts lower than reactantsProducts higher than reactants
// Nuclear Physics

Nuclear Chemistry

Nuclear chemistry deals with atomic nuclei transformations — releasing enormous energy via E = mc². Underpins nuclear energy, medical imaging (PET scans), cancer radiation therapy, and radiocarbon dating.

Atomic Notation

XAZ
A
Mass Number — Total protons + neutrons
Z
Atomic Number — Protons (= electrons in neutral atom)
N
Neutrons — N = A − Z

Mass–Energy Equivalence

E = mc²
E
Energy (Joules)
m
Mass (kg)
c
Speed of light (3×10⁸ m/s)

Nuclear Binding Energy

1
Calculate Mass: (no. protons × proton mass) + (no. neutrons × neutron mass)
2
Mass Defect: Δm = Calculated Mass − Actual Atomic Weight
3
N.B.E: Mass Defect × 931 (MeV)
4
Specific N.B.E per Nucleon: N.B.E ÷ Mass Number

Nuclear Unit Conversions

AMU
× 1.66×10⁻²⁷
KG
EV
× 1.602×10⁻¹⁹
JOULE
MEV
× 1×10⁶
EV
CALORIE
× 4.18
JOULE

Alpha, Beta & Gamma Radiation

Propertyα Alphaβ Betaγ Gamma
Symbolαβγ
Nature₂He⁴ nucleus₋₁e⁰ electronElectromagnetic
Mass4× proton1/1800 protonMassless
Charge+VE−VENone
PenetrationWeakMediumVery High
IonizationVery HighHighLow
E/B fieldLow deflectionLarge deflectionUnaffected

Half-Life Time

H.L.P = Total Time ÷ No. of Periods
Step 1
Identify: Initial Mass, Remaining Mass, Total Time, H.L.P.
Step 2
No. of Periods = Total Time ÷ H.L.P. Each period halves the mass.
Step 3
Remaining = Initial Mass ÷ 2ⁿ (n = no. of periods).
Example
100g, H.L.P = 5yr, Time = 20yr → 4 periods → 100 ÷ 16 = 6.25g
// Bond Theory

Chemical Bonding

Chemical bonds are the forces that hold atoms together to form molecules and compounds. The type of bond that forms depends on the electronegativity difference between the atoms involved. Understanding bonds explains why water is liquid at room temperature, why metals conduct electricity, and why NaCl dissolves in water but not in oil.

⊕⊖
Ionic Bond

Electron transfer metal → non-metal. ΔEN > 1.7.

  • Forms crystal lattice
  • High melting/boiling points
  • Conducts when dissolved
  • e.g. NaCl, MgO, CaCl₂
⬡⬡
Covalent Bond

Shared electrons between non-metals. ΔEN < 1.7.

  • Single, double, or triple bonds
  • Lower melting/boiling points
  • Poor conductors generally
  • e.g. H₂O, CO₂, CH₄, N₂
⚙️
Metallic Bond

Sea of delocalized electrons around positive ion lattice.

  • Excellent conductors
  • Malleable & ductile
  • High melting points
  • e.g. Cu, Fe, Al, Au

Electronegativity Rules

  • ΔEN = 0 → Non-polar covalent (H₂, O₂)
  • ΔEN 0.1–1.7 → Polar covalent (H₂O, HCl)
  • ΔEN > 1.7 → Ionic bond (NaCl)

Bond Polarity

Electrons spend more time near the more electronegative atom, creating δ+ and δ− partial charges — giving H₂O its unusual surface tension and boiling point.

Lewis Dot Structures

Dots = valence electrons. Pairs between atoms = bonds. Octet rule: atoms seek 8 valence electrons (H seeks 2). Lone pairs don't bond directly.

// Chemical Reactions

Types of Reactions

Recognising the type of reaction lets you predict products and balance equations — the core skill of general chemistry.

Type 01

Synthesis (Combination)

Two or more substances combine into one product.

A + B → AB
2H₂ + O₂ → 2H₂O
Type 02

Decomposition

One compound breaks into two or more simpler substances.

AB → A + B
2H₂O → 2H₂ + O₂
Type 03

Single Displacement

One element replaces another in a compound. Activity series determines feasibility.

Zn + 2HCl → ZnCl₂ + H₂↑
Type 04

Double Displacement

Two compounds exchange partners — yields precipitate or water.

NaCl + AgNO₃ → AgCl↓ + NaNO₃
Type 05

Combustion

Substance + O₂ → energy. Hydrocarbons → CO₂ + H₂O.

CH₄ + 2O₂ → CO₂ + 2H₂O + energy
Type 06

Neutralization

Acid + Base → Salt + Water. H⁺ + OH⁻ → H₂O.

HCl + NaOH → NaCl + H₂O

Anatomy of a Chemical Equation

2H2(g) + O2(g) 2H2O(l)
Coefficient
Number before formula. Multiplies all atoms in that formula.
Subscript
Small number after symbol. Fixed — never change to balance.
Reaction Arrow →
Separates reactants (left) from products (right).
State Symbols
(s) solid   (l) liquid   (g) gas   (aq) aqueous
Reactants
Left side of arrow. Starting materials consumed.
Products
Right side of arrow. Substances formed.

How to Balance Equations

1
Write the unbalanced equation. Identify all reactants and products with correct formulas. C₂H₆ + O₂ → H₂O + CO₂
2
Count atoms on each side. Count H and O last. Never change subscripts — only add coefficients.
3
Add coefficients to balance. Use fractions if needed. C₂H₆ + 7/2 O₂ → 3H₂O + 2CO₂
4
Clear fractions by multiplying all coefficients by the denominator. 2C₂H₆ + 7O₂ → 6H₂O + 4CO₂
5
Verify: recount every atom on both sides. Atoms in = Atoms out. ✓

Balancing Order Trick

Follow this order when balancing — it avoids backtracking. Always leave H and O until last.

STEP 1
Metals
STEP 2
Non-Metals
STEP 3
Carbon
STEP 4
Hydrogen
STEP 5
Oxygen

📐 Worked Example — 2Al + 3H₂SO₄ → Al₂(SO₄)₃ + 3H₂

Metals: 1 Al left → 2 needed (×2).  Non-metals: 1 S left → 3 needed (×3 H₂SO₄).  Hydrogen: 6H left → 6H right (×3 H₂).  Oxygen: 12O each side ✓  → Balanced!

// pH Chemistry

Acids & Bases

Acids donate protons (H⁺); bases accept protons or donate OH⁻. The pH scale measures acidity logarithmically from 0–14.

◀ Acidic (pH < 7)◆ Neutral (pH = 7)Basic (pH > 7) ▶

Real-World pH Examples

Battery AcidpH 0
Conc. Sulfuric AcidpH 1
Lemon Juice, VinegarpH 2
Orange Juice, SodapH 3
Tomato Juice, Acid RainpH 4
Black Coffee, BananaspH 5
Urine, MilkpH 6
Pure WaterpH 7
Sea Water, EggspH 8
Toothpaste, BoraxpH 9
Milk of MagnesiapH 10
Ammonia SolutionpH 11
Limewater Ca(OH)₂pH 12
Bleach, Oven CleanerpH 13
Liquid Drain CleanerpH 14
Acids

Donate H⁺. pH < 7. Taste sour.

  • Strong: HCl, H₂SO₄, HNO₃, HBr, HI
  • Weak: CH₃COOH, H₂CO₃, H₃PO₄
  • pH = −log[H⁺]   Turn blue litmus red
Bases

Accept H⁺ or donate OH⁻. pH > 7. Feel slippery.

  • Strong: NaOH, KOH, Ca(OH)₂, Ba(OH)₂
  • Weak: NH₃, Mg(OH)₂
  • pOH = −log[OH⁻]   pH + pOH = 14

Neutralization

H⁺ + OH⁻ → H₂O. Resulting salt may be acidic, basic, or neutral depending on the relative strengths of original acid and base.

Indicators

  • Litmus: red in acid, blue in base
  • Phenolphthalein: colourless → pink at pH 8.3
  • Methyl orange: red → yellow at pH 4.4
  • Universal: full colour pH spectrum

Buffers

Resist pH change when small amounts of acid/base are added. Weak acid + conjugate base. Blood uses HCO₃⁻/H₂CO₃ to maintain pH ≈ 7.4.

Relative Acid & Base Strength

Conjugate acid-base pairs — stronger acids have weaker conjugate bases. Acid strength increases downward ↓ on the left; base strength increases upward ↑ on the right.

ACID
negligible
OH⁻
HS⁻
weak ↓ stronger
H₂O
HPO₄²⁻
HCO₃⁻
NH₄⁺
HCN
H₂PO₄⁻
HSO₃⁻
H₂S
H₂CO₃
CH₃CO₂H
HF
H₃PO₄
H₂SO₃
HSO₄⁻
strong
H₃O⁺
HNO₃
H₂SO₄
HCl
HBr
← Acid strength
Base strength →
BASE (Conjugate)
strong ↑ stronger
O²⁻
S²⁻
weak
OH⁻
PO₄³⁻
CO₃²⁻
NH₃
CN⁻
HPO₄²⁻
SO₃²⁻
HS⁻
HCO₃⁻
CH₃CO₂⁻
F⁻
H₂PO₄⁻
HSO₃⁻
SO₄²⁻
negligible
H₂O
NO₃⁻
HSO₄⁻
Cl⁻
Br⁻

Important Compounds & Formulas

🧪 Acids
Hydrochloric AcidHCl
Sulphuric AcidH₂SO₄
Nitric AcidHNO₃
Carbonic AcidH₂CO₃
Acetic AcidCH₃COOH
Phosphoric AcidH₃PO₄
🧪 Bases
Sodium HydroxideNaOH
Potassium HydroxideKOH
Calcium HydroxideCa(OH)₂
Ammonium HydroxideNH₄OH
Magnesium HydroxideMg(OH)₂
AmmoniaNH₃
🧂 Salts
Sodium Chloride (Table Salt)NaCl
Sodium Carbonate (Washing Soda)Na₂CO₃·10H₂O
Sodium Bicarbonate (Baking Soda)NaHCO₃
Calcium Carbonate (Marble/Chalk)CaCO₃
Plaster of ParisCaSO₄·½H₂O
GypsumCaSO₄·2H₂O
Ammonium ChlorideNH₄Cl
⚗️ Common Oxides
Carbon DioxideCO₂
Carbon MonoxideCO
Sulphur DioxideSO₂
Nitrogen DioxideNO₂
WaterH₂O
Hydrogen PeroxideH₂O₂
Zinc OxideZnO
Aluminium OxideAl₂O₃
Copper Sulphate (Blue Vitriol)CuSO₄·5H₂O
Ferrous Sulphate (Green Vitriol)FeSO₄·7H₂O
🏭 Acids & Their Uses
Cleaning bathrooms / steel picklingHCl
Fertiliser manufacture (NH₄NO₃)HNO₃
Dye, paint & explosives industriesH₂SO₄
Removing rust stainsOxalic acid
Food preservative / descalingCH₃COOH
Softening hard waterNa₂CO₃
🌍 Key Science Facts
Bleaching powderCaOCl₂
QuicklimeCaO
Slaked limeCa(OH)₂
Epsom saltMgSO₄·7H₂O
Gas for fruit ripeningC₂H₄ (ethylene)
Main greenhouse gasCO₂
Most abundant metal in crustAl
Metal that ignites in airNa
// Redox & Cells

Electrochemistry

Electrochemistry studies the relationship between chemical reactions and electrical energy — including oxidation-reduction and electrochemical cells.

OIL
Oxidation Is Loss
|
RIG
Reduction Is Gain

Half Reactions

Oxidation (Anode)

Loses electrons. Oxidation number increases. In galvanic cells: Anode is .

Zn → Zn²⁺ + 2e⁻

Reduction (Cathode)

Gains electrons. Oxidation number decreases. In galvanic cells: Cathode is +.

Cu²⁺ + 2e⁻ → Cu

Galvanic Cell

Chemical energy → electricity spontaneously (ΔG < 0). Salt bridge maintains neutrality. e.g. Zn-Cu Daniell cell.

Electrolytic Cell

Uses electricity to drive non-spontaneous reactions (ΔG > 0). Used in electroplating, refining copper, producing aluminium.

Oxidation Numbers

  • Pure elements = 0
  • Monoatomic ions = their charge
  • O = −2 (peroxides = −1)
  • H = +1 (hydrides = −1)
  • Neutral compound sum = 0

Oxidation vs. Reduction — Full Comparison

Property Oxidation Reduction
ElectronsLossGain
OxygenGainLoss
HydrogenLossGain
Oxidation NumberIncreases ↑Decreases ↓
Electrode (electrolysis)Anode (+)Cathode (−)
AgentReducing agent (gives e⁻)Oxidising agent (takes e⁻)

Real-World Redox Reactions

🔩 Rusting of Iron

Fe → Fe²⁺ + 2e⁻ (oxidation). O₂ + 4H⁺ + 4e⁻ → 2H₂O (reduction). Overall: 4Fe + 3O₂ → 2Fe₂O₃. Requires both O₂ and H₂O.

🔥 Combustion

Carbon in fuel is oxidised (gains O₂). CH₄ + 2O₂ → CO₂ + H₂O. Carbon oxidation state goes from −4 to +4 — maximum oxidation.

🌿 Respiration

C₆H₁₂O₆ + 6O₂ → 6CO₂ + 6H₂O + ATP. Glucose (C) is oxidised; oxygen is reduced. Biological redox chain in mitochondria.

🔋 Batteries

Spontaneous redox reactions generate electrical current. Zn anode oxidises (Zn → Zn²⁺ + 2e⁻); MnO₂ cathode is reduced. e⁻ flow through circuit = current.

// Reactivity Ranking

Electrochemical Series

The electrochemical series ranks metals (and non-metals) by their standard electrode potential (E°) — measured against the standard hydrogen electrode (SHE = 0.00 V). More negative E° = stronger reducing agent. More positive E° = stronger oxidising agent.

Half-Reaction (Reduction) E° (V) Reducing Strength
Li⁺ + e⁻ → Li−3.04⬆ Strongest Reducing Agent
K⁺ + e⁻ → K−2.93Very strong reducer
Ca²⁺ + 2e⁻ → Ca−2.87
Na⁺ + e⁻ → Na−2.71
Mg²⁺ + 2e⁻ → Mg−2.37
Al³⁺ + 3e⁻ → Al−1.66
Zn²⁺ + 2e⁻ → Zn−0.76
Fe²⁺ + 2e⁻ → Fe−0.44
Ni²⁺ + 2e⁻ → Ni−0.25
Pb²⁺ + 2e⁻ → Pb−0.13
2H⁺ + 2e⁻ → H₂0.00← Standard (SHE)
Cu²⁺ + 2e⁻ → Cu+0.34
I₂ + 2e⁻ → 2I⁻+0.54
Fe³⁺ + e⁻ → Fe²⁺+0.77
Ag⁺ + e⁻ → Ag+0.80
Br₂ + 2e⁻ → 2Br⁻+1.07
O₂ + 4H⁺ + 4e⁻ → 2H₂O+1.23
Cr₂O₇²⁻ + 14H⁺ + 6e⁻ → 2Cr³⁺ + 7H₂O+1.33
Cl₂ + 2e⁻ → 2Cl⁻+1.36
MnO₄⁻ + 8H⁺ + 5e⁻ → Mn²⁺ + 4H₂O+1.51
F₂ + 2e⁻ → 2F⁻+2.87⬇ Strongest Oxidising Agent
⚡ Cell EMF Calculation
E°cell = E°cathode − E°anode

If E°cell > 0, the reaction is spontaneous.
If E°cell < 0, the reaction is non-spontaneous.

Zn-Cu cell:
E° = +0.34 − (−0.76) = +1.10 V
🔮 Predicting Reactions

A metal higher in the series (more negative E°) will displace a metal lower in the series from solution.

Zn + CuSO₄ → ZnSO₄ + Cu ✓
Cu + ZnSO₄ → No reaction ✗

Zn is above Cu → Zn displaces Cu²⁺
🛡️ Reactivity Series

The activity series for metals in order of reactivity with water and acids:

K > Na > Li > Ca (react with cold water)
Mg > Al > Zn > Fe (react with acids)
Ni > Sn > Pb > H₂
Cu > Hg > Ag > Au > Pt (unreactive)
// Quantitative Electrochemistry

Electrochemistry Calculations

The quantitative side of electrochemistry — connecting cell potential to Gibbs free energy, equilibrium constants, and reaction spontaneity through the Nernst equation and Faraday's laws.

Standard Cell Potential

E°cell
cell = E°cathode − E°anode
Standard electrode potentials are measured vs. the Standard Hydrogen Electrode (SHE = 0.00 V) at 25°C, 1 M, 1 atm.
E°cell > 0 → Spontaneous (ΔG < 0)
E°cell < 0 → Non-spontaneous (ΔG > 0)
Example: Zn–Cu Daniell Cell
Cathode (reduction): Cu²⁺ + 2e⁻ → Cu   E° = +0.34 V
Anode (oxidation): Zn → Zn²⁺ + 2e⁻   E° = −0.76 V
E°cell = +0.34 − (−0.76) = +1.10 V
Positive → spontaneous. Electrons flow from Zn (anode) to Cu (cathode).

Gibbs Free Energy & Equilibrium

ΔG° = −nFE°
ΔG°Standard Gibbs free energy (J)
nMoles of electrons transferred
FFaraday's constant = 96,485 C/mol
Standard cell potential (V)
ΔG° = −RT ln K
RGas constant = 8.314 J/mol·K
TTemperature in Kelvin
KEquilibrium constant
E° = (RT/nF) ln K
At 25°C:simplifies to:
E° = (0.0592/n) log KThis is the most used form

🔗 The Grand Relationship

All three quantities are linked: ΔG° = −nFE° = −RT ln K. If you know any one of them, you can find the other two. A spontaneous reaction (ΔG° < 0) has E° > 0 and K > 1 — products are favoured at equilibrium.

The Nernst Equation

E = E° − (RT / nF) · ln Q
At 25°C (298 K):   E = E° − (0.0592 / n) · log Q
ECell potential under non-standard conditions
Standard cell potential
nNumber of moles of electrons transferred
QReaction quotient = [products]/[reactants] at current conditions
FFaraday constant = 96,485 C mol⁻¹

When Q = 1 (Standard)

E = E°. All concentrations are 1 M, all pressures 1 atm — standard conditions. The equation reduces to just E°.

When Q < 1

−ln Q > 0, so E > E°. More reactants than products pushes the cell forward — higher driving force.

When Q = K (Equilibrium)

E = 0. The cell is at equilibrium and can no longer do work. This is a dead battery. E = 0 when Q = K.

Faraday's Laws of Electrolysis

First Law
m = (M × I × t) / (n × F)
The mass of substance deposited at an electrode is proportional to the charge passed (Q = I × t).
m = mass deposited (g)
M = molar mass (g/mol)
I = current (Amperes)
t = time (seconds)
n = electrons per ion
F = 96,485 C/mol
Second Law
m₁/m₂ = E₁/E₂
When the same charge passes through different electrolytes, the masses deposited are proportional to their equivalent weights (E = M/n).
E (equivalent weight) = M / n
Passing 1 Faraday deposits 1 equivalent of any substance
1 Faraday = 96,485 C = charge of 1 mol of electrons
⚡ Worked Example
How much copper deposits when 2 A flows for 30 minutes through CuSO₄ solution? (Cu molar mass = 63.5, n = 2)
1 Q = I × t = 2 A × (30 × 60 s) = 3600 C
2 moles of e⁻ = 3600 / 96485 = 0.0373 mol
3 moles of Cu = 0.0373 / 2 = 0.0187 mol (2 e⁻ per Cu²⁺)
4 mass = 0.0187 × 63.5 = 1.19 g Cu deposited

Quick Reference: Key Constants

Faraday (F)
=
96,485 C mol⁻¹
At 25°C
RT/F =
0.02569 V
Nernst factor
2.303RT/F =
0.05916 V
1 Coulomb
=
1 Ampere × 1 second
// Gas Behavior

The Gas Laws

Mathematical relationships between pressure (P), volume (V), temperature (T) and moles (n) for ideal gases.

Boyle's Law

P & V

P₁V₁ = P₂V₂

At constant T: P and V are inversely proportional.

Charles's Law

V & T

V₁/T₁ = V₂/T₂

At constant P: V and T are directly proportional. T in Kelvin.

Gay-Lussac's Law

P & T

P₁/T₁ = P₂/T₂

At constant V: P and T are directly proportional. T in Kelvin.

Combined Gas Law

P, V & T

P₁V₁/T₁ = P₂V₂/T₂

Merges Boyle's, Charles's and Gay-Lussac's. n constant.

Ideal Gas Law

PV = nRT

PV = nRT

R = 8.314 J/(mol·K). n = moles. Assumes ideal behaviour.

Avogadro's Law

V & n

V₁/n₁ = V₂/n₂

Equal volumes at same T, P → equal moles. 1 mol = 22.4 L at STP.

⚡ Interactive Gas Law Calculator
Fill known values and click Calculate.
// Dynamic Balance

Chemical Equilibrium

A reversible reaction reaches equilibrium when the rate of forward reaction equals the rate of reverse reaction — concentrations become constant but both reactions continue. This is dynamic, not static equilibrium.

Equilibrium Constant (Kc)

For: aA + bB ⇌ cC + dD
Kc = [C]ᶜ[D]ᵈ / [A]ᵃ[B]ᵇ
Kc is the ratio of product concentrations to reactant concentrations at equilibrium, each raised to the power of their stoichiometric coefficient. Pure solids and liquids are excluded from the expression.
Kc ≫ 1
Equilibrium favours products. Reaction goes nearly to completion. e.g. Kc = 10⁶
Kc ≈ 1
Equilibrium mixture has comparable amounts of reactants and products.
Kc ≪ 1
Equilibrium favours reactants. Reaction barely proceeds forward. e.g. Kc = 10⁻⁶

Le Chatelier's Principle

⚖️ Le Chatelier's Principle

When a system at equilibrium is subjected to a stress (change in concentration, pressure, or temperature), the equilibrium shifts in the direction that opposes the stress and partially restores equilibrium.

Stress: [Reactant] ↑

Add Reactant

Equilibrium shifts forward (→) to consume the extra reactant and form more products.
Stress: [Product] ↑

Add Product

Equilibrium shifts backward (←) to consume the extra product and form more reactants.
Stress: Pressure ↑

Increase Pressure

Shifts toward the side with fewer moles of gas to reduce pressure. No effect if equal moles each side.
Stress: Temperature ↑

Increase Temperature

Shifts in the endothermic direction to absorb the extra heat. Opposite if T decreases.
Catalyst Added

Add Catalyst

No shift in equilibrium position. Only speeds up both forward and reverse reactions equally — reaches equilibrium faster.
Dilution

Add Solvent (Dilute)

Shifts toward the side with more moles of solute (aqueous reactions) to increase concentration.

ICE Table Method

The ICE (Initial–Change–Equilibrium) table is the standard method for calculating equilibrium concentrations when you know initial conditions and Kc.

Example: N₂(g) + 3H₂(g) ⇌ 2NH₃(g) — Haber Process
N₂3H₂2NH₃
I — Initial1.000 M3.000 M0.000 M
C — Change−x−3x+2x
E — Equilibrium1−x3−3x2x

Reaction Quotient (Q)

Q has the same form as Kc but uses current (not equilibrium) concentrations. If Q < Kc: reaction shifts forward. If Q > Kc: reaction shifts backward. If Q = Kc: at equilibrium.

Kp vs Kc

Kp uses partial pressures instead of concentrations (for gas phase reactions). Kp = Kc(RT)^Δn where Δn = moles of gaseous products − moles of gaseous reactants.

Industrial Applications

  • Haber Process: N₂ + 3H₂ ⇌ 2NH₃ (450°C, 200 atm, Fe catalyst)
  • Contact Process: 2SO₂ + O₂ ⇌ 2SO₃ (H₂SO₄ production)
  • Compromise conditions balance yield vs reaction rate.
// Solution Chemistry

Solutions & Concentration

Solutions are homogeneous mixtures. Concentration measures how much solute is present relative to the solution or solvent.

Concentration Formulas

NO. OF
MOLES
MOLARITY
VOLUME
(L)
Molarity (mol/L)
NO. OF
MOLES
MOLALITY
(mol/kg)
MASS
SOLVENT kg
Molality (mol/kg)
MASS
SOLUTE g
MOLARITY
V(L) ×
M.MASS
Mass of Solute

Percentage Calculations

Mass / Mass %

% = (Solute Mass ÷ Solution Mass) × 100
Solution Mass = Solute + Solvent

Volume / Volume %

% = (Solute Vol ÷ Solution Vol) × 100
Solution Vol = Solute Vol + Solvent Vol

Percentage of Yield

% = (Actual Yield ÷ Theoretical Yield) × 100
Actual yield is always ≤ theoretical yield

Freezing Point Depression

ΔTf = Conc. of Particles × (−1.86)
Adding a solute lowers the freezing point of a solvent. The cryoscopic constant for water is −1.86 °C·kg/mol. More particles = greater depression.

Metric Prefixes

Unit
× 10³
Milli
Milli
× 10³
Micro
Micro
× 10³
Nano
Milli
× 10⁻³
Unit

All Concentration Terms

01 — Molarity (M)
Moles of solute per litre of solution
M = moles of solute / volume (L)
Most common unit in lab chemistry. Changes with temperature.
02 — Molality (m)
Moles of solute per kilogram of solvent
m = moles of solute / weight of solvent (kg)
Temperature-independent. Used for colligative properties.
03 — Normality (N)
Gram equivalents of solute per litre of solution
N = gram equivalents / volume (L)
Useful for acid-base and redox reactions. N = M × n-factor.
04 — Formality (F)
Gram formula masses of ionic solute per litre
F = weight (g) / (formula weight × volume (L))
Used for ionic solutes that fully dissociate. Similar to molarity.
05 — Mole Fraction (Xₐ)
Moles of one component divided by total moles in solution
Xₐ = nₐ / (nₐ + n_B)
Dimensionless (0 to 1). Sum of all mole fractions = 1.
06 — Parts per Million (ppm)
Mass of solute per million parts of solvent
ppm = (mass of solute / mass of solvent) × 10⁶
Used for very dilute solutions — water quality, pollutants, trace elements.

Common Chemical Formula List

WaterH₂O
GlucoseC₆H₁₂O₆
EthanolC₂H₅OH
AmmoniaNH₃
MethaneCH₄
AspirinC₉H₈O₄
BenzeneC₆H₆
Acetic Acid (Vinegar)CH₃COOH
Sulfuric AcidH₂SO₄
Sodium HydroxideNaOH
Calcium CarbonateCaCO₃
Table SaltNaCl
Baking SodaNaHCO₃
BleachNaOCl
Hydrogen PeroxideH₂O₂
AcetoneCH₃COCH₃
Propane (LPG)C₃H₈
ButaneC₄H₁₀
Sucrose (Sugar)C₁₂H₂₂O₁₁
CaffeineC₈H₁₀N₄O₂
Citric AcidC₆H₈O₇
UreaCO(NH₂)₂
MethanolCH₃OH
Potassium PermanganateKMnO₄
Copper SulfateCuSO₄
Carbon DioxideCO₂
Nitrogen GasN₂
Oxygen GasO₂
Dry IceCO₂(s)
Silver NitrateAgNO₃
Calcium Oxide (Quicklime)CaO
Ferric Oxide (Rust)Fe₂O₃
// Rate of Reaction

Reaction Kinetics

Kinetics studies how fast reactions occur and what factors control that speed. Understanding rate is essential for industrial chemistry, drug design, and predicting reaction feasibility.

Collision Theory

For a reaction to occur, particles must collide with sufficient energy (≥ activation energy) and with the correct orientation. Increasing either factor increases the rate.

⚡ Activation Energy (Eₐ)

Minimum energy needed for a collision to result in reaction. Lower Eₐ = faster reaction. Catalysts work by providing an alternative pathway with lower Eₐ.

📐 Effective Collision

Must have: (1) energy ≥ Eₐ and (2) correct geometric orientation. Even high-energy collisions fail if molecules approach at the wrong angle.

📊 Maxwell-Boltzmann

Not all particles have the same energy. The distribution curve shows most particles cluster around average energy — only the tail exceeds Eₐ and reacts.

Factors Affecting Rate

🌡️ Temperature

Increases rate

Higher T → particles move faster → more collisions, more exceed Eₐ. A 10°C rise roughly doubles the rate for many reactions.

💧 Concentration

Increases rate

More particles per unit volume → more frequent collisions → higher rate. Doubles concentration can more than double rate depending on order.

🪨 Surface Area

Increases rate

Smaller particle size → greater surface area exposed → more collision sites. Powder reacts faster than a lump of the same mass.

⚗️ Catalyst

Increases rate

Provides an alternative reaction pathway with lower Eₐ. Not consumed in the reaction. Homogeneous (same phase) or heterogeneous (different phase).

🔴 Pressure

Gases only

Increased pressure = particles closer together = more collisions per second. Equivalent to increasing concentration for gas-phase reactions.

💡 Light

Photochemical

UV/visible light can provide activation energy for photochemical reactions. e.g. halogen + alkane reactions initiated by UV light.

Rate Expression

Rate = k[A]ᵐ[B]ⁿ
k
Rate constant (temp. dependent)
[A],[B]
Concentrations of reactants
m, n
Orders (found experimentally, not from equation)

Overall Order

Sum of all individual orders: m + n. Zero order: rate independent of [A]. First order: rate ∝ [A]. Second order: rate ∝ [A]².

Arrhenius Equation

k = Ae^(−Eₐ/RT)

Links rate constant to temperature. A = frequency factor. R = 8.314 J/(mol·K). As T↑, k↑, rate↑.

Half-Life (t½)

Time for [reactant] to halve. First order: t½ = ln2/k (constant). Second order: t½ = 1/(k[A]₀) — depends on initial concentration.

// Practical Chemistry

Lab Techniques

Core practical skills used to separate, purify, and identify substances. These techniques underpin every branch of chemistry and are essential exam content.

🔽 Filtration

Separates an insoluble solid from a liquid. Mixture poured through filter paper in a funnel. The solid (residue) stays on the filter; the liquid (filtrate) passes through.

💧 Evaporation & Crystallisation

Dissolve solid in hot solvent. Evaporate slowly to form pure crystals. Filter, wash with cold solvent, dry. Used to purify salts.

🌀 Distillation

Separates liquids by boiling point. Heat mixture → vapour rises → condenses in condenser → collected as distillate. Fractional distillation uses a fractionating column for close boiling points.

⚗️ Chromatography

Separates mixtures based on how far components travel through a stationary phase carried by a mobile phase. Rf = distance moved by spot ÷ distance moved by solvent.

🧲 Solvent Extraction

Separates compounds using two immiscible solvents (e.g. water + ethyl acetate). The compound partitions into the solvent it's more soluble in. Used in a separating funnel.

🔥 Reflux

Heats a reaction mixture at its boiling point without losing solvent. Vapour condenses in a vertical condenser and falls back. Used for slow reactions needing prolonged heating.

Titration Setup & Method

1
Rinse burette with the solution it will contain. Fill with standard solution (known concentration). Record initial reading.
2
Pipette a known volume of the other solution into a conical flask. Add 2–3 drops of indicator.
3
Add from burette slowly, swirling constantly. Near the endpoint, add dropwise. Stop at the permanent colour change.
4
Record final reading. Titre = final − initial. Repeat until concordant results (within 0.10 cm³). Average the concordant titres.
5
Calculate: n = C × V. Use mole ratio from balanced equation to find unknown concentration.

Chromatography Types

TypeMobile PhaseStationary PhaseUse
TLCSolvent (liquid)Silica on platePurity check, identify compounds
PaperSolvent (liquid)Water on paperSeparate coloured mixtures, amino acids
GCInert gas (N₂, He)Liquid on solidSeparate volatile compounds, food/forensics
HPLCSolvent (high pressure)Solid columnPharmaceuticals, large biomolecules

📐 Rf Value

Rf = distance travelled by spot ÷ distance travelled by solvent front

Always between 0 and 1. Same compound always gives the same Rf under the same conditions. Used to identify unknowns by comparison.

// Analytical Chemistry

Spectroscopy

Spectroscopy uses the interaction of electromagnetic radiation with matter to identify substances and determine structure. Three techniques dominate chemistry: IR, Mass Spec, and NMR.

Mass Spectrometry

Molecules are ionised and fragmented. The detector records mass-to-charge ratio (m/z) of each fragment. Used to find molecular mass and deduce structure.

Molecular Ion Peak (M⁺)

The rightmost peak = molecular mass of the compound. The M+1 peak indicates presence of ¹³C isotopes. M+2 indicates Cl or Br (characteristic isotope pattern).

Fragmentation

Molecule breaks at weakest bonds. Each fragment gives a peak at its m/z. Common fragments: m/z 15 (CH₃⁺), 29 (C₂H₅⁺), 45 (OC₂H₅⁺), 77 (C₆H₅⁺ phenyl).

Base Peak

The tallest peak — most stable/abundant fragment. Used as reference (set to 100%). Does not have to be the molecular ion peak.

Infrared Spectroscopy (IR)

Bonds absorb IR at characteristic frequencies (wavenumbers, cm⁻¹). Identifying absorption peaks reveals which functional groups are present.

BondWavenumber (cm⁻¹)Functional GroupNotes
O–H (alcohol)3200–3550AlcoholBroad, strong
O–H (acid)2500–3300Carboxylic acidVery broad
N–H3300–3500Amine / AmideMedium, 1 or 2 peaks
C–H2850–3100Alkane/AlkeneMedium
C≡N2200–2260NitrileStrong, sharp
C≡C2100–2260AlkyneWeak/absent if symmetric
C=O1630–1820Aldehyde/Ketone/Ester/AcidStrong, sharp
C=C1620–1680AlkeneMedium
C–O1000–1300Alcohol / Ester / EtherStrong

NMR Spectroscopy

¹H NMR detects hydrogen environments in a molecule. Each unique H environment gives a signal. Chemical shift (δ, ppm) indicates the electronic environment of each H.

Chemical Shift (δ)

TMS (tetramethylsilane) = 0 ppm reference. Electron-withdrawing groups shift signals downfield (higher δ). e.g. –CHO ≈ 9–10 ppm, –COOH ≈ 10–12 ppm, –CH₃ ≈ 0.9 ppm.

Splitting (n+1 rule)

A signal is split into n+1 peaks by n adjacent H atoms. Doublet = 1 neighbour. Triplet = 2 neighbours. Quartet = 3 neighbours. Singlet = no neighbours.

Integration

Area under each peak ∝ number of H atoms in that environment. Ratios identify how many H each signal represents. Combined with splitting → full structure.

🔑 Approach to Solving NMR Problems

① Find molecular formula (from mass spec M⁺) → calculate degrees of unsaturation. ② Count distinct signals = number of unique H environments. ③ Use integration for ratios. ④ Use splitting pattern (n+1) to find neighbours. ⑤ Match δ values to functional group table to confirm structure.

// Magnetism in Chemistry

Magnetic Properties

The magnetic behaviour of a substance is determined by how electrons are arranged in its atoms or ions. Unpaired electrons are the key: each unpaired electron acts as a tiny magnet, and their collective effect determines whether a material is attracted to, repelled by, or unaffected by a magnetic field.

🧲 Diamagnetism

All electrons are paired. Paired electrons have opposite spins that cancel out each other's magnetic moment. Result: the substance is weakly repelled by a magnetic field. Most non-metals and main-group compounds with complete subshells are diamagnetic.

Examples: He, N₂, NaCl, H₂O, Cu⁺ (d¹⁰), Zn²⁺ (d¹⁰)

Note: Cu²⁺ is d⁹ (1 unpaired e⁻) → paramagnetic, not diamagnetic.

🧲 Paramagnetism

One or more unpaired electrons are present. Each unpaired electron produces a net magnetic moment. The substance is weakly attracted to a magnetic field but loses magnetism when the field is removed (moments are randomly oriented without a field).

Examples: O₂, Fe³⁺ (5 unpaired d-electrons), Ti³⁺ (1 unpaired), Mn²⁺ (5 unpaired)

🧲 Ferromagnetism

A special form of paramagnetism found in Fe, Co, and Ni. In these metals, magnetic domains (regions where all atomic moments align) form spontaneously. Domains can align permanently with an external field, producing a permanent magnet. Disappears above the Curie temperature.

Curie temps: Fe 768°C · Co 1115°C · Ni 358°C

Unpaired Electrons in Transition Metals

🔢 How to find unpaired electrons

Write the electronic configuration of the ion. Fill d-orbitals using Hund's rule (one electron per orbital before pairing). Count unpaired electrons.

  • Fe²⁺ — [Ar] 3d⁶ → 4 unpaired electrons (paramagnetic)
  • Fe³⁺ — [Ar] 3d⁵ → 5 unpaired electrons (strongly paramagnetic)
  • Cu²⁺ — [Ar] 3d⁹ → 1 unpaired electron (paramagnetic)
  • Zn²⁺ — [Ar] 3d¹⁰ → 0 unpaired electrons (diamagnetic)
  • Sc³⁺ — [Ar] 3d⁰ → 0 unpaired electrons (diamagnetic)

🏭 Applications of Magnetic Properties

  • MRI machines: Gadolinium (Gd) contrast agents are paramagnetic — 7 unpaired f-electrons. They alter relaxation times of nearby protons to improve image contrast.
  • Hard drives: Ferromagnetic domains are switched to store binary data (1s and 0s).
  • Neodymium magnets: Nd₂Fe₁₄B — the strongest permanent magnets, used in EV motors and wind turbines.
  • Magnetic separation: Iron ore is separated from gangue using magnetic fields because Fe₂O₃ and Fe₃O₄ are paramagnetic/ferrimagnetic.

💡 Spin and Magnetic Moment

The magnetic moment (μ) of an ion can be estimated using the spin-only formula:

μ = √[n(n+2)] Bohr Magnetons

where n = number of unpaired electrons. Fe³⁺ has n=5 → μ = √(35) ≈ 5.92 BM. This can be measured experimentally to determine the number of unpaired electrons and oxidation state.

// Catalysis

Catalytic Activity

Transition metals and their compounds are outstanding catalysts — substances that increase the rate of a reaction without being consumed. Their variable oxidation states and ability to adsorb reactants on their surface make them industrially indispensable.

⚙️ Why Transition Metals are Catalysts

Two key properties drive catalytic activity:

  • Variable oxidation states: Allows the metal to accept and donate electrons in intermediate steps, creating an alternative lower-energy pathway for the reaction.
  • Surface adsorption: Reactants bind to the metal surface, weakening bonds and bringing molecules close together. Products then desorb from the surface.

🏭 Homogeneous Catalysis

Catalyst and reactants are in the same phase (usually both dissolved in solution).

  • Fe³⁺ catalysing I⁻/S₂O₈²⁻ reaction: Fe³⁺ oxidises I⁻ to I₂, then Fe²⁺ is re-oxidised by S₂O₈²⁻ back to Fe³⁺ (cycles between +2 and +3).
  • MnO₄⁻ in H₂O₂ decomposition: Mn²⁺ intermediate formed and re-oxidised.
  • Advantage: efficient mixing → high activity. Disadvantage: separation from products is difficult.

⚗️ Heterogeneous Catalysis

Catalyst is in a different phase from reactants (usually a solid catalyst with gas or liquid reactants).

  • Fe in the Haber Process: N₂ + 3H₂ ⇌ 2NH₃ (450°C, 200 atm). N₂ adsorbs on Fe surface, weakening the N≡N triple bond.
  • Pt/Pd/Rh in catalytic converters: CO + NO → CO₂ + ½N₂. Reduces toxic emissions from vehicles.
  • V₂O₅ in Contact Process: 2SO₂ + O₂ → 2SO₃ (450°C). V cycles between V⁵⁺ and V⁴⁺.
  • Ni in margarine production: Unsaturated oils + H₂ → saturated fats (hydrogenation).

Key Industrial Processes

Process Catalyst Conditions Purpose
Haber ProcessFe (iron)450°C, 200 atmAmmonia synthesis for fertilisers
Contact ProcessV₂O₅450°C, 1 atmH₂SO₄ production (SO₂→SO₃)
Catalytic ConverterPt, Pd, Rh~600°CRemove CO, NOₓ, hydrocarbons
HydrogenationNi~180°C, pressureOil → margarine (saturating C=C)
Ziegler-NattaTiCl₄ / Al(C₂H₅)₃Low T, low PStereospecific polymerisation (HDPE)
// Metallurgy

Extraction of Iron from Ores

Iron is extracted from its ores (primarily haematite, Fe₂O₃) in a blast furnace — a continuous industrial process that operates at temperatures up to 2000°C and produces molten iron (pig iron) that is then refined into steel.

The Blast Furnace

📥 Raw Materials (Charged at Top)

  • Iron ore — haematite (Fe₂O₃) or magnetite (Fe₃O₄). Source of iron.
  • Coke (carbon) — provides carbon and CO for reduction. Also generates heat by combustion.
  • Limestone (CaCO₃) — removes acidic impurities (mainly silica, SiO₂) as slag.
  • Hot air (blast) — pumped in near the bottom to burn coke and drive reduction.

🔥 Key Reactions in the Blast Furnace

C + O₂ → CO₂ (combustion of coke, very exothermic)
CO₂ + C → 2CO (CO is the main reducing agent)
Fe₂O₃ + 3CO → 2Fe + 3CO₂ (main reduction)
Fe₃O₄ + 4CO → 3Fe + 4CO₂ (magnetite reduction)
CaCO₃ → CaO + CO₂ (limestone decomposes)
CaO + SiO₂ → CaSiO₃ (slag formation)

🌡️ Temperature Zones

  • Top (~250°C): Preheating of raw materials. CO₂ and N₂ gases exit here.
  • Middle (~700–1200°C): Reduction of iron oxides by CO and C. Solid iron begins to form.
  • Lower (~1500–2000°C): Molten iron and molten slag collect separately (iron is denser and settles below slag).
  • Bottom (tuyeres): Hot air is blasted in. Coke burns fiercely: C + O₂ → CO₂.

🏭 Products of the Blast Furnace

  • Pig iron (cast iron): Molten iron tapped from the bottom. Contains ~4% carbon + impurities (Si, Mn, S, P). Very hard but brittle — used for engine blocks, manhole covers.
  • Slag (CaSiO₃): Tapped separately. Used in road construction and cement production (no waste).
  • Blast furnace gas: Mostly CO, CO₂, N₂ — used to preheat the incoming air blast.

⚙️ From Pig Iron to Steel

Pig iron is refined in a Basic Oxygen Furnace (BOF). High-purity O₂ is blown into molten pig iron to oxidise excess carbon and impurities:

C + O₂ → CO₂ (removes carbon)

Carbon content is controlled to produce different steel grades: mild steel (0.1–0.3% C), medium carbon steel (0.3–0.6% C), high carbon steel (0.6–1.4% C). Alloying elements (Cr, Ni, Mn) are added to make specialty steels.

// Element Chemistry

Properties of Pure Iron

Pure iron (symbol Fe, atomic number 26) is a lustrous silver-grey metal with remarkable magnetic, mechanical, and chemical properties. It rarely occurs in nature in its pure form — it is almost always found as oxides or carbonate ores.

⚛️ Atomic Properties

  • Atomic number: 26 · Atomic mass: 55.845 g/mol
  • Electron configuration: [Ar] 3d⁶ 4s² (neutral atom)
  • Common oxidation states: +2 (ferrous, Fe²⁺) and +3 (ferric, Fe³⁺)
  • Electronegativity: 1.83 (Pauling)
  • Atomic radius: 126 pm
  • 4 unpaired d-electrons in Fe — makes it paramagnetic (ferromagnetic in bulk)

🔧 Physical Properties

  • Melting point: 1538°C · Boiling point: 2862°C
  • Density: 7.87 g/cm³
  • Crystal structure: BCC at room temperature (α-iron). Transitions to FCC (γ-iron) above 912°C, then back to BCC (δ-iron) above 1394°C.
  • Hardness: Mohs 4 — relatively soft in pure form
  • Malleability & ductility: High — pure iron is easily shaped
  • Electrical conductivity: Good (metallic bonding)
  • Ferromagnetic below 768°C (Curie temperature)

⚗️ Chemical Properties & Reactions

  • With oxygen: Slow oxidation in moist air (rusting): 4Fe + 3O₂ + xH₂O → 2Fe₂O₃·xH₂O (rust). Fast: 3Fe + 2O₂ → Fe₃O₄ at high temperature (burnishing).
  • With dilute acids: Fe + H₂SO₄(dil) → FeSO₄ + H₂↑ (iron dissolves, giving Fe²⁺ not Fe³⁺).
  • With Cl₂: 2Fe + 3Cl₂ → 2FeCl₃ (gives Fe³⁺ because Cl₂ is a strong oxidiser).
  • With S: Fe + S → FeS at high temperature.
  • Displacement: Fe displaces Cu from CuSO₄: Fe + CuSO₄ → FeSO₄ + Cu (Fe is above Cu in reactivity series).

🔴 Rusting — The Chemistry of Corrosion

Rusting is an electrochemical process requiring both oxygen AND water (not just one alone). Iron acts as an anode, atmospheric oxygen is reduced at the cathode, with the moisture acting as the electrolyte:

Anode: Fe → Fe²⁺ + 2e⁻
Cathode: O₂ + 2H₂O + 4e⁻ → 4OH⁻
Overall: Fe²⁺ + 2OH⁻ → Fe(OH)₂ → oxidised further to Fe₂O₃·H₂O (rust)

Prevention methods: Galvanising (zinc coating), electroplating, painting, oiling, alloying (stainless steel), cathodic protection (sacrificial anode of Mg or Zn).

// Inorganic Chemistry

Iron Oxides

Iron forms three principal oxides: FeO, Fe₂O₃, and Fe₃O₄. Each has a distinct colour, oxidation state composition, crystal structure, and set of industrial uses. Understanding them is central to iron metallurgy, pigments, and materials science.

⬛ FeO — Iron(II) Oxide / Wüstite

  • Oxidation state of Fe: +2
  • Colour: Black powder
  • Structure: Rock-salt cubic structure
  • Formation: Unstable at room temperature — forms only above 570°C by controlled reduction of Fe₂O₃ in limited O₂. Readily oxidises further to Fe₂O₃.
  • Reaction with acids: FeO + H₂SO₄ → FeSO₄ + H₂O (gives Fe²⁺ salts)
  • Uses: Intermediate in iron oxide production, green glass colouring agent.

🔴 Fe₂O₃ — Iron(III) Oxide / Haematite

  • Oxidation state of Fe: +3
  • Colour: Red/brown (the colour of rust)
  • Structure: Corundum structure (hexagonal close-packed)
  • Formation: 4Fe + 3O₂ → 2Fe₂O₃ (slow oxidation in air; also product of rusting).
  • Reaction with acids: Fe₂O₃ + 3H₂SO₄ → Fe₂(SO₄)₃ + 3H₂O (gives Fe³⁺ salts)
  • Uses: Main iron ore (haematite), red pigment (ochre), polishing powder (jeweller's rouge), thermite reaction (Fe₂O₃ + Al → Al₂O₃ + Fe, very exothermic), catalyst support.

⬛🔴 Fe₃O₄ — Magnetite / Iron(II,III) Oxide

  • Oxidation states of Fe: +2 and +3 combined (ratio 1:2)
  • Colour: Black, very dense
  • Structure: Inverse spinel structure — FeO·Fe₂O₃
  • Formation: 3Fe + 2O₂ → Fe₃O₄ (iron burning in air/O₂). Also formed on iron surface at high T as a protective scale.
  • Magnetic: Ferrimagnetic — natural magnetic ore (lodestone was the first known magnet).
  • Uses: Recording media, magnetic nanoparticles (MRI contrast agents, targeted drug delivery), pigments, magnetic separation, steel surface treatment (bluing).

🔑 Comparison Table

Property FeO Fe₂O₃ Fe₃O₄
Fe oxidation state(s)+2+3+2, +3
ColourBlackRed/brownBlack
MagnetismParamagneticWeakly paramagneticFerrimagnetic
Stability in airUnstable (oxidises)StableStable
// Materials Science

Alloys: Engineered Metals

An alloy is a metallic material made by mixing two or more elements, where at least one is a metal. Alloys almost always have superior properties to pure metals — greater hardness, corrosion resistance, strength, or specific melting points — making them the backbone of modern engineering.

🔧 Why Alloys are Stronger than Pure Metals

Pure metals have layers of atoms that can slide past each other easily — this is why they are soft and malleable. Adding differently-sized atoms of another element distorts the regular lattice, making it harder for layers to slide. Result: increased hardness and strength.

The added atoms can be larger (substitutional alloy) or smaller (interstitial alloy) than the host metal atoms.

⚙️ Types of Alloys

  • Substitutional alloy: Atoms of similar size replace host atoms. Example: brass (Cu + Zn), bronze (Cu + Sn), sterling silver (Ag + Cu).
  • Interstitial alloy: Small atoms fit into gaps (interstices) between large host atoms. Example: steel (Fe + C — C atoms are tiny compared to Fe).
  • Eutectic alloy: Composition with the lowest melting point. Example: solder (63% Sn + 37% Pb) melts at 183°C.

Important Iron Alloys

🔩 Steel (Fe + C)

The most important industrial alloy. Carbon is an interstitial impurity that dramatically changes properties:

  • Mild steel: 0.1–0.3% C — tough, weldable, used in construction, car bodies, pipes.
  • Medium carbon: 0.3–0.6% C — harder, used in railway tracks, structural beams.
  • High carbon: 0.6–1.4% C — very hard but brittle, used in cutting tools, springs, wire.
  • Cast iron: 2–4% C — very hard but brittle (excess C forms graphite plates).

🌟 Stainless Steel (Fe + Cr + Ni)

Typically: 74% Fe, 18% Cr, 8% Ni. The chromium reacts with O₂ to form a thin, adherent Cr₂O₃ layer that prevents further oxidation — the steel is effectively self-healing and corrosion-resistant.

  • Surgical instruments and implants
  • Kitchen equipment and cutlery
  • Chemical plant equipment
  • Architecture (cladding, bridges)

✈️ Duralumin & Titanium Alloys

Duralumin: Al + 4% Cu + Mn + Mg. Age-hardened to be almost as strong as mild steel but only one-third the density. Used in aircraft fuselages and spacecraft.

Ti alloys (Ti-6Al-4V): Titanium + aluminium + vanadium. Strongest-to-weight ratio of any structural metal. Used in jet engines, medical implants, high-performance sporting goods.

Other Common Alloys

🟡 Brass (Cu + Zn)

70% Cu + 30% Zn. Golden colour. Harder than pure copper, good corrosion resistance, easily machined. Used in musical instruments, plumbing fittings, zippers, electrical terminals, ammunition casings.

🟤 Bronze (Cu + Sn)

~88% Cu + 12% Sn. Historically the first alloy ever made (Bronze Age). Much harder than copper, resistant to seawater corrosion. Used in ship propellers, bearings, bells, sculpture, coins.

⚪ Solder (Sn + Pb) / Lead-free solder

Traditional solder: 63% Sn + 37% Pb (mp 183°C — true eutectic). Used in electronics. Lead-free versions (SAC alloys: Sn + Ag + Cu) are now mandated by RoHS regulations. Gold alloys (karat system): 24K = pure gold, 18K = 75% Au + 25% other metals.

// Qualitative Analysis

Detection of Basic Radicals

Basic radicals (cations) in an unknown salt can be systematically identified through a series of chemical tests. The classical scheme uses flame tests, precipitation with NaOH and NH₃, and confirmatory reactions to narrow down and confirm the identity of the cation present.

🔥 Flame Test (Group 1 & 2 Metals)

Metallic ions impart characteristic colours when introduced into a flame. The heat excites electrons to higher energy levels; when they fall back, they emit visible light.

  • Lithium (Li⁺): Crimson red flame
  • Sodium (Na⁺): Intense golden yellow flame
  • Potassium (K⁺): Lilac/violet (may be masked by Na⁺ — use cobalt blue glass)
  • Calcium (Ca²⁺): Brick red / orange-red flame
  • Barium (Ba²⁺): Apple green flame
  • Copper (Cu²⁺): Blue-green flame (distinctive, esp. with HCl)
  • Strontium (Sr²⁺): Crimson red (more intense than Li)

🧪 Precipitation with NaOH

Add NaOH(aq) to the salt solution in drops then in excess:

  • White ppt insoluble in excess: Ca²⁺, Mg²⁺ (Ca(OH)₂ slightly soluble)
  • White ppt soluble in excess NaOH (amphoteric): Al³⁺ → [Al(OH)₄]⁻, Zn²⁺ → [Zn(OH)₄]²⁻, Pb²⁺ → [Pb(OH)₄]²⁻
  • Green ppt insoluble in excess: Fe²⁺ → Fe(OH)₂ (green, may turn brown on standing)
  • Brown/rusty ppt insoluble: Fe³⁺ → Fe(OH)₃ (red-brown)
  • Blue ppt insoluble: Cu²⁺ → Cu(OH)₂ (blue)
  • Cream ppt: Bi³⁺
  • White ppt + NH₃ gas: NH₄⁺ → NH₃ (turns damp red litmus blue)

🧪 Precipitation with NH₃(aq)

Add dilute NH₃ in drops then in excess:

  • Blue ppt, soluble in excess NH₃ (deep blue): Cu²⁺ → [Cu(NH₃)₄]²⁺ (tetraamminecopper complex)
  • White ppt soluble in excess NH₃: Zn²⁺ → [Zn(NH₃)₄]²⁺, Ag⁺ → [Ag(NH₃)₂]⁺
  • White ppt insoluble in excess: Mg²⁺, Ca²⁺
  • Green ppt (Fe²⁺) or brown ppt (Fe³⁺) insoluble in excess NH₃
  • No ppt with Na⁺, K⁺: Group 1 hydroxides are soluble

Confirmatory Tests for Common Cations

✅ Fe²⁺ Confirmation

  • Add K₃[Fe(CN)₆] (potassium hexacyanoferrate(III)): gives deep blue precipitate (Turnbull's blue)
  • Or: dissolve in dilute H₂SO₄ → add KMnO₄: KMnO₄ is decolourised (Fe²⁺ reduces MnO₄⁻)

✅ Fe³⁺ Confirmation

  • Add KSCN (potassium thiocyanate): gives blood-red colour [Fe(SCN)]²⁺
  • Or: add K₄[Fe(CN)₆]: gives deep blue precipitate (Prussian blue)

✅ Cu²⁺, NH₄⁺, Pb²⁺

  • Cu²⁺: Excess NH₃ → deep blue solution. Or: add K₄[Fe(CN)₆] → red-brown precipitate.
  • NH₄⁺: Add NaOH and heat → NH₃ gas evolved (turns damp red litmus blue).
  • Pb²⁺: Add KI → yellow precipitate PbI₂ (soluble in hot water, recrystallises as golden needles). Or H₂SO₄ → white PbSO₄ precipitate.
// Analytical Chemistry

Quantitative Analysis

Quantitative analysis determines the amount (mass, concentration, or percentage) of a substance in a sample using precise measurements. The core techniques include gravimetric analysis, volumetric (titrimetric) analysis, and colorimetry.

⚖️ Gravimetric Analysis

The analyte is converted into a pure, stable, sparingly soluble precipitate that is filtered, dried, and weighed. The mass of the precipitate is used to calculate the amount of analyte.

Steps: Dissolve sample → precipitate analyte → filter → wash → dry/ignite to constant mass → weigh → calculate.

Example: BaSO₄ gravimetry — add excess BaCl₂ to a sulfate solution: Ba²⁺ + SO₄²⁻ → BaSO₄↓ (white). Weigh BaSO₄ → calculate sulfate content.

Accuracy tip: Digestion (heating near boiling) is used to grow larger crystals → easier to filter, less surface area to adsorb impurities.

🧪 Volumetric Analysis (Titration)

A solution of known concentration (standard solution / titrant) is delivered from a burette until the reaction is complete (equivalence point). An indicator signals the end-point.

Key formula: C₁V₁/n₁ = C₂V₂/n₂

Types of titration:

  • Acid-base: Uses indicators (phenolphthalein, methyl orange)
  • Redox titration: KMnO₄ or K₂Cr₂O₇ as oxidant (self-indicating for KMnO₄)
  • Complexometric (EDTA): Eriochrome Black T indicator, determines Ca²⁺, Mg²⁺ in water hardness
  • Precipitation (Mohr's method): AgNO₃ titrates Cl⁻, K₂CrO₄ as indicator
  • Iodometric: Indirect — oxidant liberates I₂ from KI, then titrate I₂ with Na₂S₂O₃

📊 Colorimetry & Spectrophotometry

Based on Beer-Lambert Law: the absorbance of a solution is proportional to concentration.

A = εcl

  • A = absorbance (unitless)
  • ε = molar absorptivity (L mol⁻¹ cm⁻¹)
  • c = concentration (mol/L)
  • l = path length (cm)

Calibration curve: Prepare standards of known concentration → measure absorbance → plot A vs. c → use to read off unknown concentration.

Back Titration & Double Indicators

🔄 Back Titration

Used when the analyte reacts slowly, is insoluble, or the end-point is hard to detect directly. An excess of known reagent is added to react completely with the analyte, then the unreacted excess is titrated with a second standard solution.

moles(analyte) = moles(reagent added) − moles(reagent titrated back)

Example: Determining CaCO₃ purity — add excess HCl, then back-titrate with NaOH.

📏 Sources of Error in Quantitative Analysis

  • Systematic errors: Calibration error in glassware, indicator error, dissolved CO₂ in NaOH standard.
  • Random errors: Reading meniscus, parallex, volume delivery variation.
  • Minimisation: Repeat titrations until concordant results (within 0.1 cm³), rinse burette with titrant, use appropriate indicator for the particular acid-base reaction.
// Physical Chemistry

Pressure in Chemistry

Pressure is the force exerted per unit area. In chemistry, pressure plays a central role in gas behaviour, equilibrium, and industrial processes. Understanding different types of pressure — atmospheric, partial, osmotic, and vapour pressure — is essential for physical chemistry.

🌍 Atmospheric Pressure

The pressure exerted by the weight of the atmosphere. Standard atmosphere (STP): 1 atm = 101,325 Pa = 760 mmHg = 760 torr = 1.01325 bar.

Measured by barometer (mercury column). At sea level: 1 atm. Decreases with altitude — at 10 km (cruising altitude) it is ~0.25 atm.

🔵 Dalton's Law of Partial Pressures

The total pressure of a mixture of non-reacting gases equals the sum of the partial pressures of each individual gas:

P_total = P₁ + P₂ + P₃ + ...

Partial pressure of gas i: Pᵢ = xᵢ × P_total, where xᵢ is the mole fraction. Used in calculations involving gas collection over water: P(dry gas) = P(total) − P(water vapour).

💧 Vapour Pressure

The pressure exerted by a vapour in equilibrium with its liquid phase at a given temperature. Increases with temperature (more molecules have enough energy to escape). At the boiling point, vapour pressure = atmospheric pressure.

Raoult's Law (ideal solutions): P = x_solvent × P°_solvent. Adding a non-volatile solute lowers vapour pressure → elevates boiling point and depresses freezing point.

Osmotic Pressure & Applied Pressure

🌊 Osmotic Pressure (π)

The pressure required to prevent osmosis (net flow of solvent through a semipermeable membrane from low to high concentration). Van't Hoff equation:

π = iMRT

  • i = van't Hoff factor (dissociation: NaCl → i=2)
  • M = molarity · R = 8.314 J/mol·K · T = temperature in K
  • Application: reverse osmosis water purification, dialysis, IV drip solutions must be isotonic (same π as blood).

⚙️ Pressure in Chemical Equilibrium

From Le Chatelier's principle, increasing pressure on a gas-phase equilibrium shifts it toward the side with fewer moles of gas.

  • N₂ + 3H₂ ⇌ 2NH₃ → (4 moles → 2 moles): higher pressure favours NH₃ production ✓
  • H₂ + I₂ ⇌ 2HI → (2 moles → 2 moles): pressure has NO effect on equilibrium position
  • At equilibrium, Kp = Kc(RT)^Δn, where Δn = moles of gas products − moles of gas reactants

🏭 Industrial Significance of Pressure

  • Haber Process (NH₃): ~200 atm — high pressure favours product side (Δn = −2)
  • Contact Process (H₂SO₄): ~1 atm — high pressure makes little difference (Δn = −1), not worth the cost
  • Supercritical CO₂: Above 73 atm, 31°C — excellent green solvent for decaffeination and dry cleaning
  • Diamond synthesis: ~50,000 atm, ~1500°C — extreme pressure to convert graphite to diamond
// Ionic Equilibrium

Ionic Equilibrium

Ionic equilibrium describes reversible processes involving ions in solution — including the dissociation of weak acids and bases, solubility equilibria, buffer systems, and hydrolysis. It extends the concept of chemical equilibrium to ionic species.

⚗️ Weak Acid Dissociation (Kₐ)

A weak acid HA only partially dissociates in water:

HA ⇌ H⁺ + A⁻

Kₐ = [H⁺][A⁻] / [HA]

  • Larger Kₐ → stronger (more dissociated) weak acid
  • pKₐ = −log(Kₐ). Lower pKₐ = stronger weak acid.
  • Approximation: if α (degree of dissociation) <<1, [H⁺] ≈ √(Kₐ·C)
  • pH = ½(pKₐ − log C) for weak acid

⚗️ Weak Base Dissociation (K_b)

A weak base B accepts a proton from water:

B + H₂O ⇌ BH⁺ + OH⁻

K_b = [BH⁺][OH⁻] / [B]

  • pK_b = −log(K_b). Lower pK_b = stronger weak base.
  • Key relationship: Kₐ × K_b = Kw = 1×10⁻¹⁴ (at 25°C)
  • pKₐ + pK_b = 14 (conjugate acid-base pair)
  • pOH = ½(pK_b − log C) for weak base

🛡️ Buffer Solutions

A buffer resists changes in pH when small amounts of acid or base are added. It contains a weak acid and its conjugate base (or weak base + conjugate acid) in comparable concentrations.

Henderson-Hasselbalch:
pH = pKₐ + log([A⁻]/[HA])

  • Buffer pH = pKₐ when [A⁻] = [HA]
  • Effective buffer range: pKₐ ± 1
  • Blood buffer: H₂CO₃/HCO₃⁻, pKₐ = 6.1, blood pH = 7.4 (maintained by lungs and kidneys)
  • Acetate buffer: CH₃COOH/CH₃COO⁻, pKₐ = 4.75

Solubility Product (Ksp) & Salt Hydrolysis

🌊 Solubility Product (Ksp)

For a sparingly soluble salt MA dissolving:

MA(s) ⇌ M⁺(aq) + A⁻(aq)
Ksp = [M⁺][A⁻]

  • If ion product Q < Ksp → more salt dissolves
  • If Q > Ksp → precipitation occurs
  • Common ion effect: Adding a common ion reduces solubility (shifts equilibrium left)
  • AgCl: Ksp = 1.8×10⁻¹⁰ → solubility = √(1.8×10⁻¹⁰) = 1.34×10⁻⁵ mol/L

💧 Salt Hydrolysis

When a salt dissolves in water, the resulting solution may be acidic, basic, or neutral depending on the nature of the parent acid and base:

  • Strong acid + Strong base → pH = 7 (NaCl, KNO₃ — neither ion hydrolyses)
  • Weak acid + Strong base → pH > 7 (CH₃COONa — acetate ion hydrolyses: A⁻ + H₂O ⇌ HA + OH⁻)
  • Strong acid + Weak base → pH < 7 (NH₄Cl — ammonium ion hydrolyses: BH⁺ ⇌ B + H⁺)
  • Weak acid + Weak base: pH depends on relative Kₐ and K_b values

🔑 Degree of Hydrolysis

For a salt of weak acid and strong base (e.g. CH₃COONa), the degree of hydrolysis (h) is:

h = √(Kw / Kₐ × C)
pH = 7 + ½(pKₐ + log C)

The Common Ion Effect also suppresses hydrolysis — adding the weak acid (CH₃COOH) to CH₃COONa solution reduces the degree of hydrolysis of the acetate ion.

🔧
Chapter 03
Tools & Reference
Six live interactive calculators plus the full 118-element periodic table with element detail panels.
3 Sections
// Live Chemistry Tools

Interactive Tools

Six live calculators built directly into the encyclopedia — no external apps needed.

Tool 01

⚗️ Molar Mass Calculator

Type a formula to calculate its molar mass.
Tool 02

🧲 Ion Compound Builder

Criss-cross method — select ions and get the formula automatically.

Select ions to build a compound.
Tool 03

☢️ Nuclear Decay Simulator

Click Simulate to run the decay table.
Tool 04

🔄 Unit Converter

Select category and units above.
Tool 05 — NEW

⚖️ Stoichiometry Calculator

Enter a balanced equation and a known quantity to find unknown amounts. Format: coefficients then formulas separated by spaces (reactants + products).

Fill in all fields and click Calculate.
Tool 06 — NEW

🧪 pH & pOH Calculator

Enter any one value — get all the others instantly.

Enter any one value above.
// Electron Configuration

Periodic Table Blocks

The periodic table is divided into four blocks based on the subshell being filled with electrons (s, p, d, f). This directly explains each group's chemical properties and reactivity patterns.

s
s-Block
Groups 1 & 2 + He
ns
1 or 2 e⁻ in outer s-orbital

Alkali metals (1 valence e⁻) and alkaline earth metals (2 valence e⁻). Highly reactive, low ionisation energy. React vigorously with water.

Li, Na, K, Rb, Cs, Fr  |  Be, Mg, Ca, Sr, Ba, Ra
p
p-Block
Groups 13–18
np
1–6 e⁻ filling three p-orbitals

The most diverse block — contains metals, metalloids, nonmetals, halogens, and noble gases. Properties vary widely across the block.

B, C, N, O, F, Ne, Al, Si, P, S, Cl, Ar, Ga, Ge, As, Br, Kr ...
d
d-Block
Groups 3–12
(n-1)d
↑↓
1–10 e⁻ in five d-orbitals

Transition metals — filling d-subshell. Variable oxidation states, coloured compounds, catalytic activity, form complex ions. Essential in industry and biochemistry.

Sc, Ti, V, Cr, Mn, Fe, Co, Ni, Cu, Zn  |  Period 5 & 6 counterparts
f
f-Block
Lanthanides & Actinides
(n-2)f
1–14 e⁻ in seven f-orbitals

Inner transition metals. Lanthanides are used in high-tech magnets, phosphors, lasers. Actinides (Z=89–103) are mostly radioactive — uranium and plutonium for nuclear energy.

La→Lu (Lanthanides, Period 6)  |  Ac→Lr (Actinides, Period 7)

Orbital Diagrams by Period

Period 1
H: 1s¹    He: 1s²
Period 2
Li–Be: 2s fills    B→Ne: 2p fills (6e⁻ across 3 orbitals)
Period 3
Na–Mg: 3s fills    Al→Ar: 3p fills
Period 4
K–Ca: 4s fills    Sc→Zn: 3d fills    Ga→Kr: 4p fills
Period 5
Rb–Sr: 5s    Y→Cd: 4d    In→Xe: 5p
Period 6
Cs–Ba: 6s    La: 5d¹    Ce→Lu: 4f fills    Hf→Hg: 5d    Tl→Rn: 6p
Period 7
Fr–Ra: 7s    Ac: 6d¹    Th→Lr: 5f fills

📐 Aufbau Principle

Electrons fill orbitals in order of increasing energy: 1s → 2s → 2p → 3s → 3p → 4s → 3d → 4p → 5s → 4d → 5p → 6s → 4f → 5d → 6p...

↕️ Hund's Rule

Within a subshell, electrons fill each orbital singly before pairing (maximise spin multiplicity). e.g. N: [↑][↑][↑] across 2p — not [↑↓][↑][ ].

⚡ Pauli Exclusion

No two electrons in an atom can have the same four quantum numbers. Each orbital holds max 2 electrons with opposite spins (↑↓).

Transition Metal Properties

🎨
Coloured Compounds

d-d electron transitions absorb visible light. Different oxidation states = different colours. e.g. Cu²⁺ = blue, Fe³⁺ = orange, MnO₄⁻ = purple.

⚗️
Variable Oxidation States

d-electrons can be removed easily. Fe shows +2 and +3, Mn shows +2 to +7, Cu shows +1 and +2. This enables catalysis and redox chemistry.

🔧
Catalytic Activity

Transition metals and their ions are excellent catalysts due to variable oxidation states. Fe in Haber process, Pt in catalytic converters, V₂O₅ in Contact process.

🧲
Magnetic Properties

Unpaired d-electrons make many transition metals and compounds paramagnetic (attracted to magnetic field). Fe, Co, Ni are ferromagnetic — permanently magnetic.

Complex Ion Formation

Form complex ions with ligands (Lewis bases donating lone pairs). e.g. [Cu(H₂O)₄]²⁺, [Fe(CN)₆]³⁻. Coordination number 6 is most common.

💪
High Density & Strength

Small atomic radii, strong metallic bonding. High melting points, densities, and hardness. W has highest melting point (3422°C). Os is densest metal (22.59 g/cm³).

Electronic Configurations — First 30 Elements

Written using the Aufbau principle: fill from lowest energy level. Notation: 1s², 2s², 2p⁶ … etc.

ElementSymbolZConfiguration
HydrogenH11s¹
HeliumHe21s²
LithiumLi31s² 2s¹
BerylliumBe41s² 2s²
BoronB51s² 2s² 2p¹
CarbonC61s² 2s² 2p²
NitrogenN71s² 2s² 2p³
OxygenO81s² 2s² 2p⁴
FluorineF91s² 2s² 2p⁵
NeonNe101s² 2s² 2p⁶
SodiumNa111s² 2s² 2p⁶ 3s¹
MagnesiumMg121s² 2s² 2p⁶ 3s²
AluminiumAl131s² 2s² 2p⁶ 3s² 3p¹
SiliconSi141s² 2s² 2p⁶ 3s² 3p²
PhosphorusP151s² 2s² 2p⁶ 3s² 3p³
SulfurS161s² 2s² 2p⁶ 3s² 3p⁴
ChlorineCl171s² 2s² 2p⁶ 3s² 3p⁵
ArgonAr181s² 2s² 2p⁶ 3s² 3p⁶
PotassiumK19[Ar] 4s¹
CalciumCa20[Ar] 4s²
ScandiumSc21[Ar] 3d¹ 4s²
TitaniumTi22[Ar] 3d² 4s²
VanadiumV23[Ar] 3d³ 4s²
Chromium ★ exceptionCr24[Ar] 3d⁵ 4s¹
ManganeseMn25[Ar] 3d⁵ 4s²
IronFe26[Ar] 3d⁶ 4s²
CobaltCo27[Ar] 3d⁷ 4s²
NickelNi28[Ar] 3d⁸ 4s²
Copper ★ exceptionCu29[Ar] 3d¹⁰ 4s¹
ZincZn30[Ar] 3d¹⁰ 4s²

★ Chromium & Copper Exceptions

Cr prefers [Ar] 3d⁵ 4s¹ (half-filled d = extra stability) over [Ar] 3d⁴ 4s². Cu prefers [Ar] 3d¹⁰ 4s¹ (fully-filled d) over [Ar] 3d⁹ 4s². Half-filled and fully-filled d subshells are extra stable due to exchange energy and symmetry.

Transition Metal Cation Configurations

When transition metals form cations, ns electrons are removed first (before (n−1)d electrons), regardless of which filled last. This is because in cations the 4s is higher energy than 3d.

Zn → Zn²⁺
[Ar] 4s²3d¹⁰
−2e⁻ (remove 4s)
[Ar] 3d¹⁰
Cu → Cu²⁺
[Ar] 4s¹3d¹⁰
−2e⁻ (4s then 3d)
[Ar] 3d⁹
Fe → Fe³⁺
[Ar] 4s²3d⁶
−3e⁻ (4s then 3d)
[Ar] 3d⁵
Cr → Cr³⁺
[Ar] 4s¹3d⁵
−3e⁻ (4s then 3d)
[Ar] 3d³
Mn → Mn²⁺
[Ar] 4s²3d⁵
−2e⁻ (remove 4s)
[Ar] 3d⁵
Ni → Ni²⁺
[Ar] 4s²3d⁸
−2e⁻ (remove 4s)
[Ar] 3d⁸

⚠️ Key Rule

Transition metal ions do not usually attain a noble gas configuration (unlike main-group ions). This is because the ns orbital empties first into the (n−1)d orbitals when ionising. The resulting partial d-filling explains their colour, variable oxidation states, and magnetic properties.

Extra Tools

Tool 07

⚖️ Equation Balancer

Enter an unbalanced equation. Use + to separate substances, → or -> for the arrow. Coefficients will be found automatically.

Enter equation above.
Tool 08

🧫 Titration Calculator

Based on: C₁V₁/n₁ = C₂V₂/n₂. Leave the unknown blank.

Leave one field blank as the unknown.
Tool 09

🔢 Empirical & Molecular Formula

Enter percentage composition (must total ~100%). Optionally enter molar mass to get molecular formula.

Enter element symbols and % masses.
// All 118 Elements

Periodic Table

The complete periodic table of all 118 elements. Click any element for detailed information including electron configuration, uses, and key facts. Color-coded by element type.

Alkali metals
Alkaline earth
Transition metals
Post-transition
Metalloids
Nonmetals
Halogens
Noble gases
Lanthanides
Actinides
* LANTHANIDES (57–71)    ** ACTINIDES (89–103)

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