Quick summary
Chemistry is the study of matter, its properties and the changes it undergoes. This chapter classifies matter, explains physical and chemical properties and SI units, and introduces the laws of chemical combination, Dalton's atomic theory, atomic and molecular mass, and the mole concept. The mole is the base for every calculation in chemistry.
Key points
- Matter is classified into pure substances (elements and compounds) and mixtures (homogeneous and heterogeneous).
- Pure substances have a fixed composition and fixed properties; mixtures do not.
- Physical properties (colour, melting point, density) can be measured without changing the substance. Chemical properties (burning, reacting with acid) involve a chemical change.
- There are 7 SI base units: metre (m), kilogram (kg), second (s), kelvin (K), ampere (A), mole (mol), candela (cd).
- Law of conservation of mass (Lavoisier): mass is neither created nor destroyed in a chemical reaction.
- Law of definite proportions (Proust): a compound always contains the same elements in the same proportion by mass, whatever its source.
- Law of multiple proportions (Dalton): when two elements 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 (e.g. NO and NO₂: 16 g : 32 g oxygen per 14 g N = 1 : 2).
- Gay Lussac's law of gaseous volumes: gases react and are produced in simple whole-number ratios by volume at the same temperature and pressure (N₂ + 3H₂ → 2NH₃ gives 1 : 3 : 2).
- Avogadro's law: equal volumes of all gases at the same temperature and pressure contain equal numbers of molecules.
- Dalton's atomic theory (1808): matter is made of tiny indivisible atoms; atoms of one element are identical; compounds form when atoms combine in simple ratios.
- Atomic masses are measured on the carbon-12 scale: 1 u = 1/12th of the mass of one C-12 atom.
Important terms
- Atomic mass unit (u) – 1/12th the mass of one carbon-12 atom.
- Average atomic mass – weighted average of the masses of the natural isotopes of an element (chlorine ≈ 35.5 u).
- Molecular mass – sum of the atomic masses of all atoms in a molecule (H₂O = 18 u).
- Formula mass – used for ionic compounds which have no separate molecules (NaCl = 58.5 u).
- Mole – amount of substance containing 6.022 × 10²³ particles (atoms, molecules or ions).
- Molar mass – mass of one mole of a substance in grams; numerically equal to atomic/molecular mass (H₂O = 18 g mol⁻¹).
- Molar volume – volume of one mole of a gas at STP = 22.4 dm³ (at the new IUPAC STP of 1 bar it is 22.71 L).
Formulas
- Number of moles n = mass (g) ÷ molar mass (g mol⁻¹)
- Number of particles = n × Nₐ, where Nₐ = 6.022 × 10²³ mol⁻¹ (Avogadro's number)
- Moles of a gas n = volume at STP (dm³) ÷ 22.4 dm³ mol⁻¹
- Average atomic mass = Σ (isotopic mass × fractional abundance)
- Temperature: K = °C + 273.15 ; °F = (9/5)°C + 32
5 important questions
Q1. State and explain Avogadro's law.
Equal volumes of all gases at the same temperature and pressure contain equal numbers of molecules. Example: 2 volumes of H₂ + 1 volume of O₂ give 2 volumes of steam, so 2 molecules of H₂ and 1 molecule of O₂ give 2 molecules of H₂O. This is why oxygen must be diatomic (O₂).
Q2. What is the difference between 12 g of carbon and 12 u of carbon?
12 u is the mass of ONE carbon-12 atom. 12 g is the mass of ONE MOLE of carbon atoms, i.e. 6.022 × 10²³ atoms.
Q3. Calculate the number of moles of hydrogen in 0.448 L of hydrogen gas at STP.
n = 0.448 dm³ ÷ 22.4 dm³ mol⁻¹ = 0.02 mol.
Q4. Calculate the number of atoms in (a) 254 u of iodine (b) 254 g of iodine. (I = 127 u)
(a) 254 u ÷ 127 u = 2 atoms.
(b) 254 g ÷ 127 g mol⁻¹ = 2 mol; atoms = 2 × 6.022 × 10²³ = 1.2044 × 10²⁴ atoms.
Q5. State the law of multiple proportions with an example.
When two elements combine to form two or more compounds, the masses of one element that combine with a fixed mass of the other bear a simple whole-number ratio. In CO and CO₂, 12 g of carbon combines with 16 g and 32 g oxygen, ratio 1 : 2.
Exam tip
Always write units (u, g, mol, dm³) in every step of a mole problem. Remember: "u" is for one particle, "g" is for one mole.