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Theme B — The Particulate Nature of Matter

B.1.6 Thermal Equilibrium — IB Physics HL Revision Notes & Topical Questions

5 min read 9 parts Lesson 8 of 53 1 quiz

📚 IB Physics HL Hub / Topical Revision
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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.
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Lesson summary

B.1.6 Thermal Equilibrium — IB PHYSICS SL notes: Explain thermal equilibrium, the direction of energy transfer and the zeroth law, and predict the final temperature of objects in contact.Direction — thermal energy is always transferred from a hotter region to a cooler region.Micr…

  • Microscopic view
  • Thermal contact
  • Ice in water
  • Thermometers
  • Meaning of temperature
  • Isolated system

Part 1 of 7Energy flow and temperature

1Direction
  • Direction thermal energy is always transferred from a hotter region to a cooler region.
2Microscopic view
  • Microscopic view faster particles of the hot object pass kinetic energy to slower particles of the cold object by collisions at the boundary.
3Thermal contact
  • Thermal contact the two regions must be in thermal contact for energy to flow.
4Result
  • Result the hot object cools and the cold object warms until their temperatures are equal.

Part 2 of 7Thermal equilibrium

Thermal equilibrium
Thermal equilibrium
Thermal equilibrium two substances in contact no longer exchange net thermal energy, because they are at the same temperature.
Particles
  • Particles individual particles still exchange energy, but equal amounts go in both directions.
Final temperature
  • Final temperature it depends on the initial temperature difference and on the masses and specific heat capacities.
Ice in water
  • Ice in water the ice warms as the water cools until they reach one temperature.

Part 3 of 7The zeroth law

Zeroth law
  • Zeroth law if A is in thermal equilibrium with B, and B with C, then A is in thermal equilibrium with C.
Thermometers
  • Thermometers a thermometer B gives the same reading for A and C if A and C are at the same temperature.
Meaning of temperature
  • Meaning of temperature it is a property that is equal for all systems in mutual equilibrium.

Part 4 of 7Final temperature of a mixture

Final temperature of a mixture
Isolated system
  • Isolated system energy lost by the hotter body equals the energy gained by the colder one.
Equation
  • Equation m1c1(T1 − Tf) = m2c2(Tf − T2).
  • T1 and T2 are the initial temperatures of the hot and cold bodies and Tf is the common final temperature.
Solution
  • Tf = (m1c1T1 + m2c2T2)/(m1c1 + m2c2), a weighted average.
Check
  • Tf lies between T1 and T2, nearer to the body with the larger mc.
Units
  • Units temperature differences can be in °C or K.
Layout
  • Layout write the energy lost, the energy gained and the equation setting them equal.
State changes
  • State changes check whether there is enough energy to complete the change before assuming a final temperature.

Part 5 of 7Equilibrium with the surroundings

1Cooling to room temperature
  • Cooling to room temperature a hot cup cools fastest at first, when the temperature difference is greatest.
2Cooling curve
  • Cooling curve temperature against time has a decreasing gradient and approaches room temperature asymptotically.
3Rate of cooling
  • Rate of cooling the gradient of the tangent; multiply by mc for the power lost.
4Steady state is not equilibrium
  • Steady state is not equilibrium a rod with one end in a flame and the other in ice has constant temperatures but continuous energy flow.

Part 6 of 7Practical issues

Calorimetry
  • Calorimetry energy is lost to the container and the air, and the calorimeter absorbs energy.
Improving accuracy
  • Improving accuracy insulate, stir, use a lid and include the heat capacity of the container.
Effect of loss
  • Effect of loss the measured rise is smaller, so the specific heat capacity of the sample comes out too large.

Part 7 of 7More from the specification

1
Zeroth law of thermal equilibrium
  • Zeroth law of thermal equilibrium thermal energy transfers cease when bodies achieve identical temperature, governing terrestrial equilibrium across Earth.
2
Thermal conduction mechanism
  • Thermal conduction mechanism energetic vibrating particles in hot solids collide with neighbouring atoms and free electrons to transfer kinetic energy.
3
Convection in fluids
  • Convection in fluids warm fluid regions expand and decrease in density, rising to create continuous circulating convection currents.
4
Latent heat of vaporisation
  • Latent heat of vaporisation energy required to separate liquid molecules against intermolecular attractions into gas at boiling temperature.
5
Thermal Equilibrium and Temperature
  • Two thermodynamic systems are in thermal equilibrium when no net thermal energy flows between them, indicating that both systems share the same temperature (Zeroth Law).
6
Mechanisms of Heat Transfer
  • Thermal energy transfers via conduction through particle collisions in solids, convection via bulk buoyant movement in liquids and gases,
  • and electromagnetic thermal radiation in a vacuum.
7
Specific Heat Capacity and Calorimetry
  • Specific heat capacity c is the energy required to raise the temperature of 1 kg of a substance by 1 K (Q = mcΔT); in mixtures of copper and water, heat lost equals heat gained.
    What the symbols mean: E, Q or q = energy transferred (J) · m = mass (kg; g in chemistry calorimetry) · 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)
8
Latent Heat of Phase Changes
  • Latent heat of fusion and vaporisation quantify the thermal energy absorbed or released during phase transitions at constant temperature (Q = mL) without changing particle kinetic energy.
    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)
9
Surface temperature
  • Effective temperature of the star's radiating surface.
10
Wavelength
  • Distance between a point on one wave and the same point on the next wave
11
Solid
  • State with a fixed shape and a fixed volume.
12
Fusion
  • Joining of light nuclei into a heavier one.
13
Intensity
  • Power per unit area perpendicular to the wave direction.
14
Apparent brightness
  • The power received per unit area at the observer
15
Phase change
  • Change of matter from one state to another
16
Thermal conductivity
  • Material constant relating the rate of conduction to the temperature gradient and area
17
Internal energy
  • Total kinetic and potential energy of the particles in a system
18
Radiation
  • Transfer by electromagnetic waves, requiring no medium
19
Liquid
  • State with a fixed volume that takes the shape of its container.
20
Copper
  • Metal widely used for electrical wires.
21
Convection
  • Transfer of thermal energy by the movement of a heated fluid
22
Conduction
  • Transfer of thermal energy by lattice vibrations and free electrons
23
Molecule
  • Tiny particle of the fluid, too small to be seen.
24
Luminosity
  • The total power of radiation emitted by a star.
25
Density
  • Mass per unit volume.

Key terms

TermMeaning
Thermal equilibriumState with no net transfer of thermal energy between bodies in contact
Thermal contactArrangement allowing thermal energy to pass between objects
Zeroth lawIf A and B and B and C are each in equilibrium, then A and C are in equilibrium
Heat capacityEnergy needed to raise the temperature of an object by 1 K, C = mc
CalorimeterInsulated container used to measure thermal energy changes
Steady stateCondition in which temperatures are constant but energy still flows

Avoid these mistakes

1
Thinking thermal energy flows from the object with more energy — it flows from higher temperature.
2
Believing nothing happens at equilibrium — particles still exchange energy equally in both directions.
3
Giving a final temperature outside the range of the two initial values — it lies between them.
4
Ignoring the container in calorimetry — it absorbs energy too.
5
Treating a steady state as equilibrium — energy still flows continuously.

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3 & IGCSE —

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