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Class 9 Science Chapter 9: Atomic Foundations of Matter — Notes, Examples & Practice

Why does water always contain hydrogen and oxygen in the same ratio by mass, whether it comes from a river in Assam or a well in Rajasthan? Because matter is made of atoms that combine in fixed whole-number ratios. This chapter covers the laws that led to atomic theory, the difference between atoms, molecules and ions, how to write chemical formulae using valency, and how to calculate molecular and formula unit masses.

1Laws of chemical combination

Law of conservation of mass (Lavoisier): in a chemical reaction, mass is neither created nor destroyed — the total mass of the products equals the total mass of the reactants (in a closed system, so no gas escapes).

Law of constant (definite) proportions (Proust): a pure chemical compound always contains the same elements combined in the same proportion by mass. Water is always hydrogen : oxygen = 1 : 8 by mass; carbon dioxide is always C : O = 3 : 8.

Dalton's atomic theory (1808) explained these laws: matter is made of tiny particles called atoms; atoms of an element are identical in mass and properties; atoms combine in small whole-number ratios to form compounds; atoms are neither created nor destroyed in reactions, only rearranged. (We now know atoms are divisible, and isotopes have different masses.)

Key points & definitions
  • Mass of reactants = mass of products.
  • A compound has a fixed mass ratio of elements (H₂O: H : O = 1 : 8).
  • Atoms are rearranged, not created or destroyed, in reactions.
Worked example 1

5.3 g of sodium carbonate reacts with 6.0 g of ethanoic acid, giving 2.2 g of carbon dioxide, 0.9 g of water and 8.2 g of sodium ethanoate. Show that this agrees with the law of conservation of mass.

  1. Reactants: 5.3+6.0=11.35.3 + 6.0 = 11.3 g.
  2. Products: 2.2+0.9+8.2=11.32.2 + 0.9 + 8.2 = 11.3 g.
  3. The masses are equal.

Answer: 11.3 g = 11.3 g, so mass is conserved.

Worked example 2

Hydrogen and oxygen combine in the ratio 1 : 8 by mass to form water. How much oxygen reacts with 3 g of hydrogen?

  1. For 1 g H, 8 g O; for 3 g H, 3×8=243 \times 8 = 24 g O.

Answer: 24 g (giving 27 g of water).

Common mistakes
  • Thinking mass is lost when a candle burns — the products (CO₂ and water vapour) escape into the air; in a closed container the mass would stay the same.

2Atoms, molecules and atomicity

An atom is the smallest particle of an element that takes part in a chemical reaction. Atoms are extremely small — a hydrogen atom has a radius of about 10−1010^{-10} m. Each element has a symbol of one or two letters: H, O, C, Na (from Latin natrium), Fe (ferrum), K (kalium).

A molecule is the smallest particle of an element or compound that can exist independently and shows its properties. It is a group of two or more atoms chemically bonded: O₂, H₂O, CO₂.

Atomicity is the number of atoms in one molecule of an element: monatomic (He, Ne, Ar — noble gases), diatomic (H₂, O₂, N₂, Cl₂), triatomic (O₃, ozone), tetra-atomic (P₄), polyatomic (S₈). Metals and carbon are written simply as Fe, Cu, C because they form large structures.

Key points & definitions
  • Atom: smallest particle of an element in a reaction.
  • Molecule: smallest independently existing particle (O₂, H₂O).
  • Atomicity: He 1, O₂ 2, O₃ 3, P₄ 4, S₈ 8.
Common mistakes
  • Writing oxygen gas as O instead of O₂.
  • Calling N₂ a compound — it is a molecule of an element.

3Ions and how atoms bond

An ion is a charged particle formed when an atom (or group of atoms) loses or gains electrons. Losing electrons gives a positive ion, a cation (Na⁺, Mg²⁺, mostly metals). Gaining electrons gives a negative ion, an anion (Cl⁻, O²⁻, mostly non-metals). Groups of atoms carrying a charge are polyatomic ions: NH₄⁺ (ammonium), OH⁻ (hydroxide), NO₃⁻ (nitrate), SO₄²⁻ (sulphate), CO₃²⁻ (carbonate).

Ionic bonding: a metal atom transfers electrons to a non-metal atom; the oppositely charged ions attract strongly. Sodium (2, 8, 1) gives one electron to chlorine (2, 8, 7), making Na⁺ (2, 8) and Cl⁻ (2, 8, 8). Ionic compounds are usually hard solids with high melting points, and they conduct electricity when molten or dissolved in water (ions are free to move), but not as solids.

Covalent bonding: non-metal atoms share pairs of electrons to complete their outer shells: H₂, Cl₂, H₂O, CH₄. Covalent compounds are made of molecules, often have low melting and boiling points and usually do not conduct electricity.

Key points & definitions
  • Cation: lost electrons (+) · Anion: gained electrons (−)
  • Ionic: transfer (metal + non-metal); conducts when molten/aqueous.
  • Covalent: sharing (non-metals); usually non-conducting.
Worked example 1

How many protons and electrons are in Al³⁺ (Z = 13) and in S²⁻ (Z = 16)?

  1. Al³⁺: 13 protons; lost 3 electrons → 10 electrons.
  2. S²⁻: 16 protons; gained 2 electrons → 18 electrons.

Answer: Al³⁺: 13 p, 10 e. S²⁻: 16 p, 18 e.

Common mistakes
  • Thinking a positive ion has gained protons — the number of protons never changes when ions form.

4Valency and chemical formulae

Valency is the combining capacity of an atom or ion, equal to the size of its charge for ions: Na⁺ 1, Ca²⁺ 2, Al³⁺ 3, Cl⁻ 1, O²⁻ 2, N³⁻ 3; NH₄⁺ 1, OH⁻ 1, NO₃⁻ 1, SO₄²⁻ 2, CO₃²⁻ 2, PO₄³⁻ 3.

A compound is electrically neutral: total positive charge = total negative charge. Criss-cross method: write the symbols (cation first), write their valencies below, and swap them as subscripts. Then reduce to the simplest whole-number ratio, and omit the subscript 1.

Use brackets around a polyatomic ion when there are two or more of it: Ca(OH)₂, Al₂(SO₄)₃. A subscript (H₂O) tells the number of atoms in the formula; a coefficient in front (2H₂O) tells the number of molecules — they are not interchangeable.

Key points & definitions
  • Cross the valencies: Al³⁺ + O²⁻ → Al₂O₃.
  • Simplify: Ca²⁺ + O²⁻ → Ca₂O₂ → CaO.
  • Brackets for multiple polyatomic ions: Mg(NO₃)₂.
Worked example 1

Write formulae for: aluminium chloride, calcium hydroxide, ammonium sulphate, sodium carbonate.

  1. Al³⁺, Cl⁻ → AlCl₃.
  2. Ca²⁺, OH⁻ → Ca(OH)₂.
  3. NH₄⁺, SO₄²⁻ → (NH₄)₂SO₄.
  4. Na⁺, CO₃²⁻ → Na₂CO₃.

Answer: AlCl₃, Ca(OH)₂, (NH₄)₂SO₄, Na₂CO₃.

Trick / memory aid

Charges must add to zero: 2 × (+3) + 3 × (−2) = 0 for Al₂O₃. Check every formula this way.

Common mistakes
  • Writing CaOH₂ instead of Ca(OH)₂ — without brackets the 2 applies only to H.
  • Not simplifying: Mg₂O₂ should be MgO.

5Atomic and molecular mass

Atoms are too light to weigh in grams conveniently, so we use relative atomic mass on a scale where one atom of carbon-12 has a mass of exactly 12 atomic mass units (u). So 1 u is 112\dfrac{1}{12} of the mass of a C-12 atom. Common values: H 1, C 12, N 14, O 16, Na 23, Mg 24, S 32, Cl 35.5, Ca 40.

Molecular mass is the sum of the atomic masses of all atoms in a molecule: H₂O =2(1)+16=18= 2(1) + 16 = 18 u.

For ionic compounds, which are not made of molecules, we calculate the formula unit mass the same way: NaCl =23+35.5=58.5= 23 + 35.5 = 58.5 u.

Key points & definitions
  • 1 u =112= \dfrac{1}{12} mass of one C-12 atom.
  • Molecular mass = Σ (atomic mass × number of atoms).
  • Formula unit mass for ionic compounds.
Worked example 1

Find the molecular mass of H₂SO₄ and the formula unit mass of CaCO₃.

  1. H₂SO₄: 2(1)+32+4(16)=2+32+64=982(1) + 32 + 4(16) = 2 + 32 + 64 = 98 u.
  2. CaCO₃: 40+12+3(16)=10040 + 12 + 3(16) = 100 u.

Answer: 98 u and 100 u.

Worked example 2

Find the percentage of oxygen by mass in water.

  1. H₂O = 18 u, of which oxygen is 16 u.
  2. 1618×100≈88.9%\dfrac{16}{18} \times 100 \approx 88.9\%.

Answer: About 88.9%.

Common mistakes
  • Forgetting to multiply by the subscript after a bracket: Ca(OH)₂ =40+2(16+1)=74= 40 + 2(16 + 1) = 74 u.

Important questions

Try each question on paper first, then tap it to check the answer.

Basic Recall and direct use

State the law of constant proportions with an example.Answer
A chemical compound always contains the same elements in the same fixed ratio by mass. Example: water always has hydrogen and oxygen in the ratio 1 : 8 by mass.
What is the atomicity of O₃, P₄ and He?Answer
3, 4 and 1.
Write the formula of magnesium chloride.Answer
Mg²⁺ and Cl⁻ → MgCl₂.

Medium Two or three steps

Calculate the molecular mass of glucose, C₆H₁₂O₆.Answer
6(12)+12(1)+6(16)=72+12+96=1806(12) + 12(1) + 6(16) = 72 + 12 + 96 = 180 u.
Why does solid sodium chloride not conduct electricity, while its solution does?Answer
In the solid, Na⁺ and Cl⁻ ions are held in fixed positions. When dissolved (or melted), the ions are free to move and carry charge.
Carbon and oxygen combine in the ratio 3 : 8 by mass to form CO₂. What mass of oxygen is needed to burn 9 g of carbon completely?Answer
9×83=249 \times \dfrac{8}{3} = 24 g of oxygen (forming 33 g CO₂).

Advanced Reasoning and HOTS

Explain the formation of MgO in terms of electron transfer, and write the electron arrangement of the ions.Answer
Mg (2, 8, 2) loses 2 electrons to form Mg²⁺ (2, 8). O (2, 6) gains those 2 electrons to form O²⁻ (2, 8). Both ions have stable octets, and the strong attraction between them forms the ionic compound MgO.
Two samples of copper oxide made in different ways contain: sample A, 1.6 g copper with 0.4 g oxygen; sample B, 2.4 g copper with 0.6 g oxygen. Do they obey the law of constant proportions?Answer
Ratio Cu : O in A =1.6:0.4=4:1= 1.6 : 0.4 = 4 : 1. In B =2.4:0.6=4:1= 2.4 : 0.6 = 4 : 1. The same, so both are the same compound and obey the law.

Self-check quiz

Five quick questions. Tap an option to see if you are right.

The atomicity of chlorine gas is
The formula of aluminium oxide is
The molecular mass of CO₂ is
A cation is formed when an atom
Which conducts electricity?

FAQ

What is the difference between an atom and a molecule?

An atom is the smallest particle of an element taking part in reactions. A molecule is two or more atoms bonded together and is the smallest particle that can exist independently, like O₂ or H₂O.

How do I remember valencies of polyatomic ions?

Learn the common ones in groups: charge 1 — ammonium (+), hydroxide, nitrate, bicarbonate (−); charge 2 — sulphate, carbonate (−); charge 3 — phosphate (−).

Why is the atomic mass of chlorine 35.5 and not a whole number?

Natural chlorine is a mixture of isotopes Cl-35 (about 75%) and Cl-37 (about 25%). The average mass is 0.75×35+0.25×37=35.50.75 \times 35 + 0.25 \times 37 = 35.5 u.

Book references

  • NCERT Exploration, Chapter 9: Atomic Foundations of MatterRead the chapter and do every exercise set first.
  • Science for Class 9 (Physics, Chemistry, Biology) — Lakhmir Singh & Manjit Kaur (S. Chand)Extra numericals and short answers; chapter order follows the old syllabus, so match by topic.
  • S. Chand's Science for Class 9 — S. ChandUseful extra reading and practice; match by topic.
  • Exemplar Problems in Science, Class IX — NCERTConcept-testing MCQs and short answers (written for the old book).

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