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.)
- 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.
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.
- Reactants: g.
- Products: g.
- The masses are equal.
Answer: 11.3 g = 11.3 g, so mass is conserved.
Hydrogen and oxygen combine in the ratio 1 : 8 by mass to form water. How much oxygen reacts with 3 g of hydrogen?
- For 1 g H, 8 g O; for 3 g H, g O.
Answer: 24 g (giving 27 g of water).
- 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 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.
- 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.
- 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.
- Cation: lost electrons (+) · Anion: gained electrons (−)
- Ionic: transfer (metal + non-metal); conducts when molten/aqueous.
- Covalent: sharing (non-metals); usually non-conducting.
How many protons and electrons are in Al³⁺ (Z = 13) and in S²⁻ (Z = 16)?
- Al³⁺: 13 protons; lost 3 electrons → 10 electrons.
- S²⁻: 16 protons; gained 2 electrons → 18 electrons.
Answer: Al³⁺: 13 p, 10 e. S²⁻: 16 p, 18 e.
- 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.
- Cross the valencies: Al³⁺ + O²⁻ → Al₂O₃.
- Simplify: Ca²⁺ + O²⁻ → Ca₂O₂ → CaO.
- Brackets for multiple polyatomic ions: Mg(NO₃)₂.
Write formulae for: aluminium chloride, calcium hydroxide, ammonium sulphate, sodium carbonate.
- Al³⁺, Cl⁻ → AlCl₃.
- Ca²⁺, OH⁻ → Ca(OH)₂.
- NH₄⁺, SO₄²⁻ → (NH₄)₂SO₄.
- Na⁺, CO₃²⁻ → Na₂CO₃.
Answer: AlCl₃, Ca(OH)₂, (NH₄)₂SO₄, Na₂CO₃.
Charges must add to zero: 2 × (+3) + 3 × (−2) = 0 for Al₂O₃. Check every formula this way.
- 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 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 u.
For ionic compounds, which are not made of molecules, we calculate the formula unit mass the same way: NaCl u.
- 1 u mass of one C-12 atom.
- Molecular mass = Σ (atomic mass × number of atoms).
- Formula unit mass for ionic compounds.
Find the molecular mass of H₂SO₄ and the formula unit mass of CaCO₃.
- H₂SO₄: u.
- CaCO₃: u.
Answer: 98 u and 100 u.
Find the percentage of oxygen by mass in water.
- H₂O = 18 u, of which oxygen is 16 u.
- .
Answer: About 88.9%.
- Forgetting to multiply by the subscript after a bracket: Ca(OH)₂ 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
What is the atomicity of O₃, P₄ and He?Answer
Write the formula of magnesium chloride.Answer
Medium Two or three steps
Calculate the molecular mass of glucose, C₆H₁₂O₆.Answer
Why does solid sodium chloride not conduct electricity, while its solution does?Answer
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
Advanced Reasoning and HOTS
Explain the formation of MgO in terms of electron transfer, and write the electron arrangement of the ions.Answer
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
Self-check quiz
Five quick questions. Tap an option to see if you are right.
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 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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