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Theme B — The Particulate Nature of Matter

B.1.7 Changes of State — IB Physics HL Revision Notes & Topical Questions

5 min read 9 parts Lesson 9 of 53 1 quiz

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Lesson summary

B.1.7 Changes of State — IB PHYSICS SL notes: Describe melting, boiling, evaporation, condensation and freezing in terms of particles and interpret heating curves.Phase change — matter changes from one phase (solid, liquid or gas) into another without a change in chemical composi…

  • Energy and temperature
  • Fixed temperatures
  • Sloping sections
  • Flat sections
  • Cooling curve
  • Plateau length

Part 1 of 7Changes of state

1Phase change
  • Phase change matter changes from one phase into another without a change in chemical composition.
    • (solid, liquid or gas)
2Energy and temperature
  • Energy and temperature the transfer of thermal energy does not change the temperature during the change.
  • The kinetic energy of the molecules is unaffected.
  • Only the potential energy (the spacing of the particles) changes.
ChangeFrom toEnergy
MeltingSolid to liquidAbsorbed
FreezingLiquid to solidReleased
Vaporisation (boiling)Liquid to gasAbsorbed
CondensationGas to liquidReleased
SublimationSolid to gasAbsorbed
DepositionGas to solidReleased
Fixed temperatures
  • Fixed temperatures melting and freezing occur at the melting or freezing point,
    • and vaporisation and condensation at the boiling point at a given pressure.
Water
  • Water the freezing point is 0 °C and the boiling point is 100 °C.

Part 2 of 7Heating curve

Heating curve
  • Heating curve it shows how the temperature of a substance changes with time or energy.
Sloping sections
  • Sloping sections the temperature changes, and the energy changes the average kinetic energy of the particles.
Flat sections
  • Flat sections the temperature is constant during a phase change, and the energy changes only the potential energy.
1
Solid heating — the temperature rises as the vibrations increase.
2
Melting plateau — the energy breaks the rigid arrangement and raises potential energy.
3
Liquid heating — the temperature rises again.
4
Boiling plateau — the energy separates the particles completely, a much larger potential energy increase, so the plateau is longer.
5
Gas heating — the temperature rises with a steep gradient as the gas has low heat capacity.
  • Cooling curve
    • the mirror image, with plateaus at the condensation and freezing points as energy is released.

Part 3 of 7Reading curves

Axes
  • Axes temperature is on the vertical axis and time or energy on the horizontal axis, with constant power assumed.
Slope
  • ΔT/Δt = P/(mc), so a steeper segment means a smaller specific heat capacity.
Plateau length
  • Plateau length it is mL/P, so a longer plateau means a larger latent heat.
Liquid water
  • Liquid water its specific heat capacity is about twice that of ice, so the slope is shallower.
Energy on the x-axis
  • Energy on the x-axis the gradient gives 1/(mc) and the plateau width gives mL.

Part 4 of 7Evaporation compared with boiling

FeatureEvaporationBoiling
WhereSurface onlyThroughout the liquid
TemperatureAny temperatureFixed at a given pressure
SpeedRelatively slowRapid, with bubbles
CoolingRemaining liquid coolsNeeds continued energy supply
Evaporation mechanism
  • Evaporation mechanism the fastest molecules near the surface, from the high-energy tail, escape.
  • The average kinetic energy of the remaining liquid falls, so it cools.
Rate of evaporation
  • Rate of evaporation it increases with temperature, surface area, a draught and lower humidity.
Boiling mechanism
  • Boiling mechanism it occurs when the saturated vapour pressure equals the external pressure.
Pressure
  • Pressure the boiling point falls at altitude and rises in a pressure cooker.

Part 5 of 7Energy and the particle picture

Energy and the particle picture
Latent heat
  • Latent heat the energy for a change of state at fixed temperature is Q = mL.
No kinetic energy change
  • No kinetic energy change the mean kinetic energy stays the same, so the temperature stays constant.
Potential energy
  • Potential energy it increases as the particles move apart against the attractive forces.
Boiling
  • Boiling extra work is done pushing back the atmosphere to make room for the vapour.
Condensation or freezing
  • Condensation or freezing the energy is released to the surroundings, which is why steam burns are severe.

Part 6 of 7Volume changes

Melting
  • Melting most substances expand; ice is an exception, expanding on freezing.
Boiling
  • Boiling water increases in volume by roughly 1600 times when it becomes steam at atmospheric pressure.
Link
  • Link the changes relate to density and the spacing of the particles.

Part 7 of 7More from the specification

1
Latent heat of fusion in melting solids
  • Latent heat of fusion in melting solids adding thermal energy overcomes intermolecular bonds, transforming crystalline solids into mobile liquid phases.
2
Thermal Energy Transfer Mechanisms
  • Thermal energy is transferred via conduction through vibrating particles and free electrons, convection through bulk fluid circulation,
    • (as in copper metal)
  • and thermal radiation through electromagnetic waves that propagate through empty space to Earth.
3
Stefan-Boltzmann Law and Stellar Luminosity
  • The total power or luminosity radiated by a black-body object of surface area A and absolute temperature T is given by the Stefan-Boltzmann equation P = sigma * A * T4,
  • where sigma is the Stefan-Boltzmann constant.
4
Wien's Displacement Law
  • The peak emission wavelength lambda_max of thermal radiation emitted by a hot body is inversely proportional to its thermodynamic temperature: lambda_max * T = 2.898 x 10-3 m K, explaining why hotter objects emit light shifted toward shorter wavelengths.
5
Latent Heat and Changes of Phase
  • During a change of state, supplying thermal energy breaks intermolecular bonds without altering temperature, governed by Q = m * L.
    • (such as fusion or vaporization)
6
Intensity
  • Power per unit area perpendicular to the wave direction.
7
Apparent brightness
  • The power received per unit area at the observer
8
Thermal equilibrium
  • Constant temperature because energy is absorbed and lost at equal rates
9
Thermal conductivity
  • Material constant relating the rate of conduction to the temperature gradient and area
10
Radiation
  • Transfer by electromagnetic waves, requiring no medium
11
Copper
  • Metal widely used for electrical wires.
12
Convection
  • Transfer of thermal energy by the movement of a heated fluid
13
Conduction
  • Transfer of thermal energy by lattice vibrations and free electrons
14
Luminosity
  • The total power of radiation emitted by a star.
15
Wavelength
  • Distance between a point on one wave and the same point on the next wave
16
Fusion
  • Joining of light nuclei into a heavier one.

Key terms

TermMeaning
Phase changeChange of matter from one state to another
Melting pointTemperature at which a solid becomes a liquid
Boiling pointTemperature at which a liquid boils at a given pressure
EvaporationEscape of fast molecules from the surface of a liquid at any temperature
Heating curveGraph of temperature against time or energy for a substance being heated
SublimationChange from solid directly to gas

Avoid these mistakes

1
Saying temperature rises during a change of state — it stays constant.
2
Saying energy supplied on a plateau is lost — it raises the potential energy.
3
Confusing evaporation with boiling — evaporation happens at the surface at any temperature.
4
Saying the boiling point is fixed for all pressures — it depends on the external pressure.
5
Saying evaporation warms the liquid — the fastest molecules leave, so it cools.

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