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IB Physics: Latent Heat & Changes of State — Every Question Answered
Answered by RevisionPrep's IB Educators
Answered by RevisionPrep's IB Educators. Latent heat trips students up not because the maths is hard, but because it's easy to confuse with specific heat capacity. In IB Physics it sits in Theme B.1, Thermal energy transfers, tested at both SL and HL through Q = mcΔθ and Q = mL. This hub covers the formulas, the worked examples, and the mistakes I mark every year.
Understanding Latent Heat & Changes of State
What is latent heat & changes of state in IB Physics, and how is it examined?
Latent heat is the energy absorbed or released when a substance changes state — solid, liquid or gas — without any change in temperature. In IB Physics it sits in Theme B.1, Thermal energy transfers, examinable at both SL and HL through the equation Q = mL, tested across Paper 1 and Paper 2.
According to the IB, first exams for the current Physics guide (Diploma Programme Physics guide, 2025 first assessment) fall under this restructured syllabus, where thermal physics no longer sits in an isolated topic but is woven into Theme B alongside the particulate model of matter. Common command terms used: calculate, determine, sketch (for heating/cooling curves).
What's the difference between specific heat capacity and specific latent heat?
Specific heat capacity (c) is the energy needed to raise 1 kg of a substance by 1 K without changing its state — used in Q = mcΔθ. Specific latent heat (L) is the energy needed to change the state of 1 kg of a substance at constant temperature — used in Q = mL. Different equations, different physical process entirely.
Quick tip: if a question gives you a temperature change (Δθ), you need c. If the temperature stays fixed and only the state changes, you need L. Mixing the two up is the single most common error I see in mock scripts.
Why does temperature stay constant during a change of state?
Because the energy you add during a phase change doesn't speed the particles up — it breaks or forms the intermolecular bonds holding them together. Kinetic energy, and therefore temperature, stays fixed until the entire sample has finished melting or boiling. Only then does further heating raise the temperature again.
This is why a heating curve for water shows two flat plateaus — at 0°C and 100°C — separated by two sloped sections where c applies and two flat sections where L applies.
What's the difference between latent heat of fusion and latent heat of vaporisation?
Latent heat of fusion is the energy per kilogram needed to change a substance between solid and liquid (melting or freezing). Latent heat of vaporisation is the energy per kilogram needed to change between liquid and gas (boiling or condensing). Vaporisation values are almost always much larger, because gas molecules must fully separate.
For water: L(fusion) ≈ 3.34 × 10⁵ J kg⁻¹, L(vaporisation) ≈ 2.26 × 10⁶ J kg⁻¹ — roughly seven times larger, which is exactly why boiling a kettle dry takes far longer than melting the same mass of ice.
Formulas, Calculations & Worked Examples
What is the formula for specific latent heat in IB Physics?
The IB Physics data booklet gives Q = mL, where Q is thermal energy in joules, m is mass in kilograms, and L is specific latent heat in J kg⁻¹. Rearranged as L = Q/m, this appears in almost every latent-heat calculation question you'll meet across SL and HL.
Worked example: how much energy melts 0.25 kg of ice at 0°C, given L(fusion, water) = 3.34 × 10⁵ J kg⁻¹?
Q = mL = 0.25 × 3.34 × 10⁵ = 8.35 × 10⁴ J (83.5 kJ).
How do I calculate the energy needed to melt or boil a substance?
Use Q = mL for the phase change itself, and Q = mcΔθ for any temperature change either side of it — then add the results together if the question spans both stages. Always check whether the substance starts below its melting or boiling point, since that adds an extra heating stage before the change of state begins.
Steps for a multi-stage problem:
- Identify every stage (heating, then phase change, then heating again if needed).
- Apply Q = mcΔθ to each heating stage.
- Apply Q = mL to each phase-change stage.
- Sum all the Q values.
Worked example: 0.10 kg of water heated from 20°C to boiling, then fully vaporised. c(water) = 4200 J kg⁻¹ K⁻¹, L(vap) = 2.26 × 10⁶ J kg⁻¹.
Q1 = mcΔθ = 0.10 × 4200 × 80 = 33,600 J Q2 = mL = 0.10 × 2.26 × 10⁶ = 226,000 J Total = 259,600 J ≈ 260 kJ
How does latent heat connect to internal energy and the particle model of matter?
Internal energy is the total kinetic and potential energy of a substance's particles. Adding latent heat raises potential energy — by breaking intermolecular bonds — while kinetic energy, and therefore temperature, stays fixed. Adding heat via specific heat capacity does the reverse: kinetic energy rises while potential energy stays roughly constant.
This idea comes up as a short-answer question fairly often: 'Explain, in terms of internal energy, why temperature does not change during boiling.' Examiners want you to name both energy types, not just describe the graph.
Exam Technique, Common Mistakes & SL vs HL
What are the most common mistakes students make with latent heat questions in exams?
The three mistakes I mark every exam season: confusing L (specific latent heat) with c (specific heat capacity), forgetting to convert grams to kilograms before substituting, and treating a multi-stage problem as if one equation covers the whole thing. Each one costs an otherwise easy mark.
Checklist before you submit a calculation:
- Are units K⁻¹ present in the given constant? If yes, it's c — not L.
- Is your mass in kilograms, not grams?
- Does the substance both heat up and change state? If so, you need two equations added together.
Is latent heat examined differently at SL and HL?
Not really — the specific latent heat content in Theme B.1, Thermal energy transfers, is identical for SL and HL. The difference shows up in question style: HL papers are more likely to embed latent heat inside a longer, multi-step scenario, sometimes combined with the gas laws content that's HL-only.
| Aspect | SL | HL |
|---|---|---|
| Core content | B.1 Thermal energy transfers | Same B.1 content |
| Extra HL topics | — | B.3 Gas laws, B.4 Thermodynamics use the same particle model |
| Typical question style | Single-stage calculation | Multi-step, often combined with data analysis |
| Paper 3 depth | Standard | Slightly more analytical framing expected |
Which IB Physics papers test latent heat, and how many marks is it worth?
Latent heat can appear as a Paper 1 multiple-choice question, a short calculation worth roughly 2 to 4 marks within a longer Paper 2 structured question, or embedded inside a data-based scenario in Paper 3. It's rarely the sole focus of an extended-response question on its own.
In my experience marking mock papers, the most common format pairs a latent-heat calculation with a specific-heat-capacity calculation in the same multi-part question — exactly the style shown in the worked example above.
Difficulty, Grades & Revision
Is thermal physics a hard topic in IB Physics?
Most students find thermal energy transfers, latent heat included, one of the more approachable topics in the DP Physics syllabus — the maths is simpler than mechanics or fields, and there are really only two core equations to master. Where marks get lost is sloppy unit conversion, not the underlying physics.
Compare it to Theme A, Space, time and motion, where vector work and multiple frames of reference genuinely add conceptual difficulty. Latent heat's difficulty is almost entirely procedural, which makes it a strong topic to bank marks on.
How can my child revise latent heat and changes of state effectively?
Effective revision combines two things: genuinely learning the two core equations, Q = mcΔθ and Q = mL, and practising past-paper style calculations that combine both in one problem — exactly how the IB likes to test this subtopic. Sketching a heating curve from memory is also a fast way to check real understanding rather than surface familiarity.
A useful home check: ask your child to explain, out loud, why the temperature graph flattens during melting and boiling. If they can only recite the graph shape and not the reason, the concept hasn't fully landed yet.
What's the best way to prepare for latent heat questions before mocks?
Work through a mixed set of calculation questions that combine specific heat capacity and latent heat in the same problem, since that's the format IB examiners favour — it tests whether you know which equation applies at each stage of a substance's heating. Timed practice under real exam conditions matters more than re-reading notes.
Set yourself a hard rule: no calculator formula sheet in front of you for the first attempt. Recalling Q = mL and Q = mcΔθ from memory, under time pressure, is exactly what Paper 1 and Paper 2 demand.
Specific Heat Capacity vs Specific Latent Heat
| Feature | Specific Heat Capacity (c) | Specific Latent Heat (L) |
| Formula | Q = mcΔθ | Q = mL |
| Units | J kg⁻¹ K⁻¹ | J kg⁻¹ |
| Temperature change? | Yes — substance heats up | No — stays constant |
| What it measures | Heating within one state | Change between states |
For focused practice on this exact subtopic, RevisionPrep's Topical Worksheets group thermal-physics calculation questions by difficulty, and the Mock Papers section includes full Paper 2 style questions combining specific heat capacity and latent heat.
