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States of Matter

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  Cambridge International AS & A Level Chemistry (9701)

States of Matter

The big idea: A gas exerts pressure because its molecules keep hitting the container walls, and pV = nRT links pressure, volume, temperature and amount for an ideal gas. In solids, the type of particle and the bonding between them (ionic, molecular, giant covalent or metallic) decide melting point, conductivity and solubility.

Summary — What This Chapter Covers
  • Gas pressure comes from molecules colliding with the container walls.
  • An ideal gas has zero particle volume and no intermolecular forces of attraction.
  • pV = nRT in SI units: p in Pa, V in m³, T in K, R = 8.31 J K⁻¹ mol⁻¹. It can be used to find Mr.
  • Four lattice types: giant ionic (NaCl, MgO), simple molecular (I₂, C₆₀, ice), giant molecular (SiO₂, graphite, diamond), giant metallic (Cu).
  • Structure and bonding explain melting and boiling points, electrical conductivity and solubility.
1. The Gaseous State: Ideal and Real Gases
Gas pressure

Collisions with the walls

Gas molecules move randomly at high speed. When they collide with the walls of the container they change momentum, so they exert a force on the walls. Pressure is the total force per unit area from these collisions. More collisions per second (more molecules, or faster ones) means higher pressure.

The ideal gas

Two assumptions

An ideal gas is one where:

  • the molecules have zero particle volume (negligible compared with the container), and
  • there are no intermolecular forces of attraction between them.

Real gases behave most like ideal gases at low pressure (molecules far apart, their own volume negligible) and high temperature (molecules move fast enough that attractions are insignificant). They deviate most at high pressure and low temperature, and for molecules with strong intermolecular forces (e.g. NH₃ more than He).

Ideal gas equation pV = nRT    n = m/M so M = mRT/(pV)    R = 8.31 J K⁻¹ mol⁻¹
QuantitySI unitConversion
pPa1 kPa = 10³ Pa; 101 kPa = 1.01 × 10⁵ Pa
Vm³1 dm³ = 10⁻³ m³; 1 cm³ = 10⁻⁶ m³
TKT/K = θ/°C + 273
Worked Example

What volume does 0.500 mol of an ideal gas occupy at 25 °C and 101 kPa?

Worked Example

0.240 g of a volatile liquid is vaporised at 100 °C and 101 kPa, giving 76.0 cm³ of vapour. Find its Mr.

Practice Question

A 2.00 dm³ flask holds 3.20 g of oxygen, O₂, at 27 °C. What is the pressure?

2. Bonding and Structure
Four kinds of lattice

What the particles are and what holds them

StructureExamplesParticles and forces
Giant ionicNaCl, MgORegular lattice of alternating cations and anions held by strong electrostatic attraction in all directions. In NaCl each ion is surrounded by six of the opposite charge.
Simple molecularI₂, C₆₀, iceRegular lattice of small molecules. Strong covalent bonds within molecules; weak intermolecular forces between them (id-id in I₂ and C₆₀; hydrogen bonds in ice).
Giant molecular (giant covalent)SiO₂, diamond, graphiteA huge network of atoms joined by strong covalent bonds throughout.
Giant metallicCuLattice of positive copper ions in a sea of delocalised electrons.
Details worth knowing
  • Iodine
  • Ice
  • Diamond
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Also in the full note
  • Melting point, conductivity, solubility
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