Topic 5

States of Matter & Gas Laws

Matter exists in three common states — solid, liquid, and gas — determined by the arrangement and energy of particles. Gas behaviour is described by three key laws.

A. Properties of the Three States

Solid vs Liquid vs Gas

PropertySolidLiquidGas
ShapeFixed shapeTakes shape of containerNo fixed shape
VolumeFixed volumeFixed volumeNo fixed volume
Particle arrangementClosely packed, regular latticeLoosely packed, irregularVery far apart, random
Particle movementVibrate in fixed positionsSlide past each otherMove freely at high speed
CompressibilityNot compressibleSlightly compressibleHighly compressible
DensityHighMediumVery low
Intermolecular forcesStrongestModerateWeakest (negligible)
Shape
SolidFixed shape
LiquidTakes shape of container
GasNo fixed shape
Volume
SolidFixed volume
LiquidFixed volume
GasNo fixed volume
Particle arrangement
SolidClosely packed, regular lattice
LiquidLoosely packed, irregular
GasVery far apart, random
Particle movement
SolidVibrate in fixed positions
LiquidSlide past each other
GasMove freely at high speed
Compressibility
SolidNot compressible
LiquidSlightly compressible
GasHighly compressible
Density
SolidHigh
LiquidMedium
GasVery low
Intermolecular forces
SolidStrongest
LiquidModerate
GasWeakest (negligible)

B. Changes of State

All Six Changes of State

ChangeProcess NameHeat
Solid → LiquidMelting / FusionHeat absorbed (endothermic)
Liquid → SolidFreezing / SolidificationHeat released (exothermic)
Liquid → GasEvaporation / Vaporisation / BoilingHeat absorbed (endothermic)
Gas → LiquidCondensation / LiquefactionHeat released (exothermic)
Solid → GasSublimationHeat absorbed (endothermic)
Gas → SolidDepositionHeat released (exothermic)
⚡ MCQ Tip Solid→Gas directly = Sublimation (e.g. dry ice CO₂, iodine, camphor, naphthalene). Endothermic = absorbs heat (melting, evaporating, subliming). Exothermic = releases heat (freezing, condensing, deposition).

C. Gas Laws

Boyle's, Charles's, Gay-Lussac's & Ideal Gas Law

LawStatementFormulaConstant
Boyle's LawPressure and volume are inversely proportional at constant temperatureP₁V₁ = P₂V₂Temperature (T)
Charles's LawVolume and temperature are directly proportional at constant pressureV₁/T₁ = V₂/T₂Pressure (P)
Gay-Lussac's LawPressure and temperature are directly proportional at constant volumeP₁/T₁ = P₂/T₂Volume (V)
Ideal Gas LawCombines all three gas lawsPV = nRTR = 8.314 J/mol·K
Boyle's Law
StatementPressure and volume are inversely proportional at constant temperature
FormulaP₁V₁ = P₂V₂
ConstantTemperature (T)
Charles's Law
StatementVolume and temperature are directly proportional at constant pressure
FormulaV₁/T₁ = V₂/T₂
ConstantPressure (P)
Gay-Lussac's Law
StatementPressure and temperature are directly proportional at constant volume
FormulaP₁/T₁ = P₂/T₂
ConstantVolume (V)
Ideal Gas Law
StatementCombines all three gas laws
FormulaPV = nRT
ConstantR = 8.314 J/mol·K
Ideal Gas Law PV = nRT P = pressure (Pa) · V = volume (m³) · n = moles · R = 8.314 J/mol·K · T = temperature (Kelvin)
Temperature Conversion T (Kelvin) = T (°C) + 273 Gas law calculations MUST use Kelvin — never Celsius directly
⚡ MCQ Tip Boyle's = P×V constant (inverse). Charles's = V/T constant (direct). Gay-Lussac's = P/T constant (direct). PV=nRT combines all. Temperature MUST be in Kelvin for all gas law calculations.

Quick MCQ Revision

FactAnswer
Boyle's LawP₁V₁ = P₂V₂ — pressure & volume inversely proportional (constant T)
Charles's LawV₁/T₁ = V₂/T₂ — volume & temperature directly proportional (constant P)
Ideal Gas LawPV = nRT
SublimationSolid → Gas directly (e.g. dry ice, iodine, camphor)
CondensationGas → Liquid (exothermic — releases heat)
MeltingSolid → Liquid (endothermic — absorbs heat)
Gas law temperature unitKelvin (K = °C + 273)
Most compressible stateGas — particles far apart, large spaces
R value8.314 J/mol·K (universal gas constant)
Key