Theme B — The Particulate Nature of Matter
B.1.9 Specific Latent Heat — IB Physics HL Revision Notes & Topical Questions
5 min read 9 parts Lesson 11 of 53 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.1.9 Specific Latent Heat — IB PHYSICS SL notes: Use Q = mL to calculate the energy for changes of state and describe how latent heats are measured.Specific latent heat L = the amount of energy required to change the state of 1 kg of a substance without changing its temperature.…
- What the symbols mean
- Specific latent heat of fusion Lf
- Specific latent heat of vaporisation Lv
- Using the right one
- Steam scalds
- Heating ice at −10 °C to steam at 100 °C
Part 1 of 7Definition
Specific latent heat L
Specific latent heat L the amount of energy required to change the state of 1 kg of a substance without changing its temperature.
- The unit is J kg−1.
Equation
- Q = mL, with Q the energy in J, m the mass that changes state in kg and L = Q/m.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)
Size of L
- Size of L the higher L is, the more energy is needed to change the state.
Temperature
- Temperature it does not change during the phase change.
Part 2 of 7Fusion and vaporisation
1Specific latent heat of fusion Lf
- Specific latent heat of fusion Lf the energy absorbed when 1 kg of solid melts, or released when 1 kg of liquid freezes, at constant temperature.
2Specific latent heat of vaporisation Lv
- Specific latent heat of vaporisation Lv the energy absorbed when 1 kg of liquid evaporates,
- or released when 1 kg of gas condenses, at constant temperature.
3Water
- Lf = 3.34 × 105 J kg−1 and Lv = 2.26 × 106 J kg−1.
4Using the right one
- Using the right one melting and freezing use Lf, and boiling and condensing use Lv.
Part 3 of 7Why L<sub>v</sub> is larger than L<sub>f</sub>
Fusion
- Fusion the intermolecular forces only need to be partially overcome, and the particles stay in contact.
Vaporisation
- Vaporisation the forces must be completely overcome as the particles separate.
- Extra work is done pushing back the atmosphere.
Result
- Lv > Lf for every substance, nearly seven times for water.
Steam scalds
- Steam scalds condensation releases 2.26 MJ per kilogram on the skin before it cools.
Part 4 of 7Multi-stage problems
1Heating ice at −10 °C to steam at 100 °C
- Heating ice at −10 °C to steam at 100 °C add each stage.
- Stage 1: Warm the ice to 0 °C: mciceΔT.
- Stage 2: Melt: mLf.
- Stage 3: Warm the water to 100 °C: mcwaterΔT.
- Stage 4: Boil: mLv.
2Mixing
- Mixing energy lost by the hot body equals energy gained by the cold one, including latent terms.
3Ice added to warm water
- Ice added to warm water find the energy the water releases in cooling to 0 °C and compare with the energy needed to melt all the ice.
- If it releases more, all the ice melts and the final temperature is above 0 °C.
- If not, some ice survives and the final temperature is 0 °C.
4Heater problems
- Heater problems use P = E/t, so Pt = mL.
5Plan
- Plan sketch temperature against energy, with slopes for mcΔT and plateaus for mL.
Part 5 of 7Measuring latent heat
1
For Lv, boil water with an electric heater of known power on a balance and record the mass lost in time t.
2
Apply Pt = mLv after steady boiling is reached.
3
Repeat at a different power and subtract to remove background losses.
4
For Lf, put a heater in a funnel of crushed ice and collect the meltwater for time t.
5
Compare with an identical setup without the heater to correct for melting from the room, then use VIt = mLf.
- Errors
- losses to the surroundings, readings not in a steady state and vapour carrying liquid droplets.
Part 6 of 7Practical importance
Practical importance
Ice as coolant
- Ice as coolant each kilogram absorbs 334 kJ at 0 °C.
Steam
- Steam it is used for heating and sterilising.
Refrigerator
- Refrigerator evaporation of the refrigerant absorbs energy.
Sweating
- Sweating evaporation cools the body.
Damp cloth and glass of ice water
- Damp cloth and glass of ice water evaporation cools a surface and condensation releases energy and gathers droplets.
Part 7 of 7More from the specification
1
Phase change thermodynamics in solids
- Phase change thermodynamics in solids latent heat of fusion breaks intermolecular bonds without changing temperature when melting crystalline solids on Earth.
2
Latent Heat and Constant Phase Temperature
- When a substance undergoes a phase change at fixed melting or boiling points, added thermal energy breaks intermolecular bonds without altering the average particle kinetic energy or temperature.
3
Thermal Conduction and Convection
- Conduction occurs primarily in solid conductors (such as copper) via lattice vibrations and free electrons,
- whereas convection transfers heat through circulatory bulk density currents in fluids.
4
Stefan-Boltzmann Law and Stellar Luminosity
- The total thermal power (luminosity) emitted by a black-body object of surface area A and absolute temperature T through electromagnetic radiation is given by L = sigma * A * T4.
5
Specific Heat Capacity vs Latent Heat
- Specific heat capacity measures thermal energy needed to change temperature without a phase change,
- (Q = m * c * Delta T)
- whereas specific latent heat measures energy for phase transitions at fixed temperature (Q = m * L).
6
Intensity
- Power per unit area perpendicular to the wave direction.
7
Kinetic energy
- K = ½mv2, energy of motion.
8
Apparent brightness
- The power received per unit area at the observer
9
Thermal equilibrium
- Constant temperature because energy is absorbed and lost at equal rates
10
Thermal conductivity
- Material constant relating the rate of conduction to the temperature gradient and area
11
Potential energy
- Energy stored by the configuration of a system.
12
Thermal
- A convection current in the air.
13
Radiation
- Transfer by electromagnetic waves, requiring no medium
14
Copper
- Metal widely used for electrical wires.
15
Convection
- Transfer of thermal energy by the movement of a heated fluid
16
Conduction
- Transfer of thermal energy by lattice vibrations and free electrons
17
Luminosity
- The total power of radiation emitted by a star.
18
Capacity
- Charge a cell can supply, in A h or C.
19
Wavelength
- Distance between a point on one wave and the same point on the next wave
Key terms
| Term | Meaning |
|---|---|
| Specific latent heat | Energy per kilogram to change state at constant temperature |
| Latent heat of fusion (Lf) | Energy per kilogram to melt a solid or freeze a liquid |
| Latent heat of vaporisation (Lv) | Energy per kilogram to boil a liquid or condense a gas |
| Phase change | Change of matter from one state to another |
| Plateau | Flat section of a heating curve at constant temperature |
| Intermolecular potential energy | Energy stored in the forces between particles |
Avoid these mistakes
1
Using Lf for boiling — boiling uses Lv.
2
Saying the temperature rises while a substance changes state — it stays constant.
3
Assuming all the ice melts in a mixing problem — check the energy available first.
4
Using grams with J kg−1 — convert to kilograms.
5
Forgetting that condensation and freezing release the same energy — they give out mL.
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