Theme B — The Particulate Nature of Matter
B.1 Thermal Energy Transfers — IB Physics SL Revision Notes & Topical Questions
5 min read 10 parts Lesson 2 of 44 1 quiz
Curriculum Equation Key قوانين الرقم الهيدروجيني والاتزان الأيوني - pH & Acid-Base Equilibrium FormulasFast Exam Solution
pH = -log[H⁺] | pOH = -log[OH⁻] | pH + pOH = 14 | [H⁺][OH⁻] = 10⁻¹⁴
Word Equation & Conditions: الرقم الهيدروجيني = -لوغاريتم تركيز أيون الهيدروجين | pH + pOH = 14
Location & Specifications: الاتزان الأيوني، كيمياء 3 ثانوي، التحصيلي، و AP Chemistry.
Lesson summary
B.1 Thermal Energy Transfers — IB SL Notes — IB PHYSICS SL notes: Use the particle model, specific heat capacity, specific latent heat and the three methods of thermal transfer, including black-body radiation, luminosity and apparent brightness.Solids — particles vibrate about fi…
- What the symbols mean
- Kelvin temperature
- Temperature difference
- Kinetic energy
- Thermal equilibrium
- Definition
Part 1 of 8Molecular model and density
Solids
- Solids particles vibrate about fixed positions.
Liquids
- Liquids particles are close together but free to move past one another.
Gases
- Gases particles are far apart and move randomly at high speed.
Density
- ρ = m/V.What the symbols mean: ρ = density (kg m−3 or g cm−3) · m = mass (kg) · V = volume (m3)
Part 2 of 8Temperature and kinetic energy
Kelvin temperature
- T/K = t/°C + 273.
Temperature difference
- Temperature difference it has the same numerical value in kelvin and degrees Celsius.
Kinetic energy
- Kinetic energy the average random kinetic energy of the particles is Ek = (3/2)kBT.
Thermal equilibrium
- Thermal equilibrium thermal energy flows from higher to lower temperature until the temperatures are equal.
Part 3 of 8Internal energy
Internal energy
Definition
- Definition the sum of the random kinetic energy and the intermolecular potential energy of the particles.
Kinetic part
- Kinetic part it depends on temperature.
Potential part
- Potential part it depends on the separation of the particles and the state.
Change of state
- Change of state the potential energy changes while the average kinetic energy, and so the temperature, stays constant.
Part 4 of 8Heating and changing state
Specific heat capacity c
- Specific heat capacity c the energy needed to raise the temperature of 1 kg by 1 K, Q = mcΔT, in J kg−1 K−1.What the symbols mean: E, Q or q = energy transferred (J) · m = mass · c = specific heat capacity (J kg−1 °C−1; water 4.18 J g−1 °C−1) · ΔT or Δθ = temperature change (°C or K)
- (kg; g in chemistry calorimetry)
Specific latent heat L
- Specific latent heat L the energy needed to change the state of 1 kg at constant temperature, Q = mL, in J kg−1.What the symbols mean: E or Q = energy to change state without a change of temperature (J) · m = mass (kg) · L = specific latent heat (J kg−1)
- Fusion applies to melting and freezing and vaporisation to boiling and condensing.
Insulated mixing
- Insulated mixing energy lost by hot objects equals energy gained by cold objects.
Part 5 of 8Methods of transfer
| Method | Medium | Mechanism |
|---|---|---|
| Conduction | Mainly solids | Particle collisions and free electrons |
| Convection | Liquids and gases | Bulk movement caused by density differences |
| Radiation | None needed | Electromagnetic waves |
- Conduction rate
- ΔQ/Δt = kAΔT/Δx, where k is the thermal conductivity.
Part 6 of 8Thermal radiation and stars
Black body
- Black body a perfect absorber and emitter of radiation.
Stefan–Boltzmann law
- L = σAT4.What the symbols mean: L = luminosity, the total power emitted (W) · σ = 5.67 × 10−8 W m−2 K−4 · r = radius of the star (m) · A = surface area (m2) · T = surface temperature (K)
Wien's law
- λmaxT = 2.9 × 10−3 m K, so hotter bodies peak at shorter wavelengths.
Luminosity L
- Luminosity L the total power radiated by a star.
Apparent brightness b
- Apparent brightness b the power received per unit area at distance d, b = L/4πd2, in W m−2.What the symbols mean: b or F = apparent brightness (W m−2) · L = luminosity (W) · d = distance to the star (m)
Part 7 of 8Solving thermal problems
1
Identify every object that gains or loses energy.
2
Decide whether the temperature changes (mcΔT) or the state changes (mL).
3
Write energy lost by hot objects = energy gained by cold objects for an insulated system.
4
Solve, and check that the final temperature lies between the starting temperatures.
Part 8 of 8More from the specification
1
Method of Mixtures for Specific Heat
- Dropping a preheated solid such as copper into water within an insulated calorimeter allows determination of specific heat capacity using the conservation of thermal energy equation mc delta_T(metal) = mc delta_T(water).
2
Latent Heat During Phase Transitions
- Specific latent heat describes the energy absorbed or released per unit mass of a substance during a phase change at constant temperature, governed by Q = mL.
3
Stefan-Boltzmann Blackbody Radiation Law
- The total radiant power emitted per unit surface area of an ideal radiator is directly proportional to the fourth power of its absolute temperature: P = e sigma A T4.
4
Planetary Albedo and Energy Equilibrium
- Earth maintains an average thermal equilibrium where absorbed incident solar light is balanced by longwave infrared radiation emitted back into surrounding space.
5
Copper
- Metal widely used for electrical wires.
6
Intensity
- Power per unit area perpendicular to the wave direction.
7
Phase change
- Change of matter from one state to another
Key terms
| Term | Meaning |
|---|---|
| Internal energy | Sum of the random kinetic energy and intermolecular potential energy of the particles |
| Specific heat capacity | Energy per unit mass needed to raise the temperature by one kelvin |
| Specific latent heat | Energy per unit mass needed to change state at constant temperature |
| Thermal equilibrium | No net transfer of thermal energy between bodies in contact |
| Thermal conductivity | Material constant relating the rate of conduction to the temperature gradient and area |
| Black body | An object that absorbs all radiation falling on it and emits the maximum possible at each wavelength |
| Luminosity | The total power radiated by a star |
| Apparent brightness | The power received per unit area at the observer |
Avoid these mistakes
1
Using °C where kelvin is needed — use kelvin in ratios and in the radiation laws.
2
Saying temperature changes during a change of state — it stays constant.
3
Adding energy to the temperature of a plateau — it goes into potential energy.
4
Using luminosity as the brightness seen from Earth — brightness falls with distance squared.
5
Treating radiated power as proportional to T — it is proportional to T4.
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