⚛️ Atoms and Molecules – Full Breakdown
1) Laws of Chemical Combination — AMU Direct Questions
Law of Conservation of Mass — Lavoisier (1789)
Statement: Mass can neither be created nor destroyed in a chemical reaction. Total mass of reactants = Total mass of products.
Example: 5 g Na₂CO₃ + 7.2 g CH₃COOH → 4.2 g CO₂ + 3 g H₂O + 5 g CH₃COONa. Check: 5 + 7.2 = 12.2 g reactants. Products = 4.2 + 3 + 5 = 12.2 g. Proved.
Law of Constant / Definite Proportions — Proust (1799)
Statement: A chemical compound always contains the same elements in the same proportion by mass, regardless of its source.
Example: Water (H₂O) always has H:O = 1:8 by mass. Whether it's from rain, river, or tap — ratio is always 1:8.
Law of Multiple Proportions — Dalton (1803)
Statement: When two elements combine to form more than one compound, the masses of one element that combine with a fixed mass of the other are in a simple whole number ratio.
Example: CO (C:O = 12:16 = 3:4) and CO₂ (C:O = 12:32 = 3:8). Mass of O per fixed mass of C: 4:8 = 1:2 (simple whole number).
Law of Reciprocal Proportions — Richter
If two elements A and B combine separately with a fixed mass of C, then the ratio of their masses when they combine directly is a simple multiple of the ratio.
2) Dalton's Atomic Theory (1808)
Five Postulates:
- All matter is made of tiny indivisible particles called atoms.
- Atoms of the same element are identical in mass and chemical properties.
- Atoms of different elements have different masses and properties.
- Atoms combine in simple whole number ratios to form compounds.
- Atoms can neither be created nor destroyed in a chemical reaction.
A → Atoms are indivisible
I → Identical atoms for same element
D → Different atoms for different elements
S → Simple whole number ratio
C → Cannot be created/destroyed
3) Atomic Mass, Molecular Mass & Formula Mass
Atomic Mass Unit (amu / u)
1 amu = 1.66 × 10⁻²⁴ g
Atomic mass of H = 1 u, C = 12 u, O = 16 u, N = 14 u, Na = 23 u, Cl = 35.5 u
Average Atomic Mass
Most elements exist as isotopes. The atomic mass on the periodic table is a weighted average.
Example — Chlorine: Cl-35 (75%) + Cl-37 (25%) → Average = (35 × 75 + 37 × 25)/100 = (2625 + 925)/100 = 35.5 u
Molecular Mass
Sum of atomic masses of all atoms in a molecule.
H₂O = 2×1 + 16 = 18 u. CO₂ = 12 + 2×16 = 44 u. CaCO₃ = 40 + 12 + 3×16 = 100 u.
Formula Mass (for ionic compounds)
Used instead of molecular mass for ionic compounds (they don't have molecules).
NaCl = 23 + 35.5 = 58.5 u. CaCl₂ = 40 + 2×35.5 = 111 u.
4) Mole Concept — The Three Formulas
2. n = N / Nₐ (particles to moles)
3. n = V / 22.4 (gas volume at STP to moles)
Where:
n = number of moles
m = given mass (in g)
M = molar mass (g/mol)
N = number of particles
Nₐ = 6.022 × 10²³ (Avogadro's constant)
V = volume of gas at STP (L)
Draw a triangle: Top = MOLE. Bottom left = MASS/M. Bottom right = PARTICLES/Nₐ. Bottom centre = VOLUME/22.4.
Cover the one you want to find — that's the formula. This is literally ALL you need for mole numericals.
Examples:
Q: Find moles in 11 g CO₂. → n = 11/44 = 0.25 mol
Q: How many molecules in 0.5 mol H₂O? → N = 0.5 × 6.022×10²³ = 3.011×10²³ molecules
Q: Volume of 2 mol O₂ at STP? → V = 2 × 22.4 = 44.8 L
5) Atomicity & Molecularity
Atomicity: Number of atoms in a molecule.
| Atomicity | Example |
|---|---|
| Monoatomic (1 atom) | He, Ne, Ar (noble gases) |
| Diatomic (2 atoms) | H₂, O₂, N₂, Cl₂, F₂, Br₂, I₂ |
| Triatomic (3 atoms) | O₃ (ozone), H₂O, CO₂ |
| Tetra-atomic (4 atoms) | P₄ (phosphorus), NH₃ |
| Polyatomic (>4 atoms) | S₈ (sulphur), P₄O₁₀, C₆H₁₂O₆ |
6) Ions & Ionic Compounds
Ion: A charged particle formed when an atom gains or loses electrons.
- Cation (+): Loses electrons. E.g., Na⁺, Ca²⁺, Al³⁺, NH₄⁺
- Anion (–): Gains electrons. E.g., Cl⁻, O²⁻, SO₄²⁻, CO₃²⁻
Writing Chemical Formulas — Criss-Cross Method
Step 1: Write symbols side by side (cation first, anion second).
Step 2: Write their charges on top.
Step 3: Criss-cross the charges (ignore signs).
Step 4: Simplify if needed.
Ca²⁺ Cl⁻ → CaCl₂
↙ ↘
(2 goes to Cl, 1 goes to Ca)
Example 2: Aluminium + Sulphate
Al³⁺ SO₄²⁻ → Al₂(SO₄)₃
Example 3: Sodium + Carbonate
Na⁺ CO₃²⁻ → Na₂CO₃
7) Common AMU-Style MCQs with Answers
Q1:
Which of the following is the smallest unit of matter?
(a) Molecule (b) Atom (c) Electron (d) Proton
Answer: (b) Atom (in context of chemical reactions — atom is smallest unit of element)
Q2:
The law of conservation of mass was proposed by:
(a) Dalton (b) Proust (c) Lavoisier (d) Richter
Answer: (c) Lavoisier
Q3:
Atomic mass of chlorine is 35.5 because:
(a) It has isotopes Cl-35 and Cl-37 (b) It has fractional atomic number (c) It is a diatomic molecule (d) None
Answer: (a) It has isotopes Cl-35 and Cl-37
Q4:
Number of moles in 36 g of H₂O is:
(a) 1 (b) 2 (c) 3 (d) 0.5
Answer: (b) 2 (n = 36/18 = 2)
Q5:
Avogadro's constant has a value of:
(a) 6.022 × 10²² (b) 6.022 × 10²³ (c) 6.022 × 10²⁴ (d) 6.022 × 10²¹
Answer: (b) 6.022 × 10²³
Q6:
Which of the following is diatomic?
(a) He (b) Ne (c) O₂ (d) P₄
Answer: (c) O₂
Q7:
What is the mass of 1 mole of CO₂?
(a) 44 g (b) 44 u (c) 22 g (d) 12 g
Answer: (a) 44 g (molar mass = 44 g/mol)
Q8:
Postulate of Dalton's theory that explains law of constant proportion:
(a) Atoms are indivisible (b) Atoms combine in simple whole number ratios (c) Atoms can't be created/destroyed (d) All atoms of same element are identical
Answer: (b) Atoms combine in simple whole number ratios
Q9:
Molecular mass of CaCO₃ is:
(a) 100 u (b) 50 u (c) 74 u (d) 84 u
Answer: (a) 100 u (40 + 12 + 48 = 100)
Q10:
Number of atoms in 1 mole of oxygen gas (O₂) is:
(a) 6.022 × 10²³ (b) 12.044 × 10²³ (c) 3.011 × 10²³ (d) 1
Answer: (b) 12.044 × 10²³ (1 mole O₂ = 6.022×10²³ molecules = 2 × 6.022×10²³ atoms)
8) Quick One-Liner Revision
- Law of conservation of mass: Lavoisier. Mass neither created nor destroyed.
- Law of constant proportion: Proust. Fixed ratio by mass.
- Dalton's 5 postulates: AIDSC (Atoms indivisible, Identical, Different, Simple ratio, Cannot destroy).
- 1 amu = 1/12 × mass of C-12 atom = 1.66 × 10⁻²⁴ g.
- Atomic mass of Cl = 35.5 (isotopes Cl-35 & Cl-37).
- Mole formulas: n = m/M = N/Nₐ = V/22.4.
- Nₐ = 6.022 × 10²³ (Avogadro's constant).
- 7 diatomic elements: H₂, N₂, F₂, O₂, I₂, Cl₂, Br₂.
- Molecular mass: sum of atomic masses. Formula mass: for ionic compounds.
- Criss-cross method for writing formulas.
1. Mole concept is the MOST important — if you master n = m/M, you can solve 90% of numericals in this chapter.
2. Dalton's postulates are direct MCQ material. Know which postulate explains which law.
3. Atomic mass of Cl = 35.5 is the most common atomic mass trick question in AMU. Remember why (isotopes).
4. Diatomic elements — the "Have No Fear Of Ice Cold Beer" mnemonic saved me in the exam.
5. Practice at least 5-10 mole numericals before the exam. They're free marks if you get the formula right.