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IB Chemistry Entropy & Gibbs Free Energy (HL): Your Questions Answered
Answered by RevisionPrep's IB Educators
Answered by RevisionPrep's IB Educators. Entropy and Gibbs free energy make up Reactivity 1.4 in the current DP Chemistry guide — an HL-only sub-topic that trips up even strong students because it demands calculation, not recall. It's tested across Papers 1, 2 and 3, mostly through ΔS and ΔG calculations. This hub covers the concept, the maths, the common mistakes, and how it compares to SL.
Understanding the Concept
What is entropy in IB Chemistry?
Entropy (S) measures how many ways energy and particles can be arranged in a system — loosely, how disordered it is. In IB Chemistry HL, you use entropy to judge whether a reaction is thermodynamically favourable, not whether it's fast. More gas particles or more moles of product usually means higher entropy.
Entropy increases going from solid to liquid to gas, and generally increases when a reaction produces more moles of gas than it starts with. Standard entropy, S°, is measured in J K⁻¹ mol⁻¹ — note the joules, not kilojoules, which is where a lot of students lose easy marks when they plug values straight into a ΔG calculation without converting.
What is Gibbs free energy and how do I calculate it?
Gibbs free energy (G) combines enthalpy and entropy into one value that tells you whether a reaction happens spontaneously at a given temperature. The formula is ΔG = ΔH − TΔS, with T in kelvin. A negative ΔG means the reaction is spontaneous as written; a positive ΔG means it isn't, at that specific temperature.
Worked example: For the Haber process, N2(g) + 3H2(g) → 2NH3(g), ΔH = −92 kJ mol⁻¹ and ΔS = −198 J K⁻¹ mol⁻¹.
- Convert ΔS to kJ: −0.198 kJ K⁻¹ mol⁻¹
- At 298 K: ΔG = −92 − (298 × −0.198) = −92 + 59.0 = −33.0 kJ mol⁻¹ → spontaneous
- At 700 K: ΔG = −92 − (700 × −0.198) = −92 + 138.6 = +46.6 kJ mol⁻¹ → non-spontaneous
This is exactly why the industrial process runs at high temperature for speed, despite thermodynamics favouring a lower one — a genuinely good exam point to make if asked why real conditions differ from the ideal.
What's the difference between enthalpy, entropy and Gibbs free energy?
Enthalpy (ΔH) measures heat energy transferred in a reaction; entropy (ΔS) measures disorder; Gibbs free energy (ΔG) combines both to tell you whether a reaction is spontaneous at a given temperature. Enthalpy and entropy are separate physical quantities — Gibbs free energy is the calculated value that actually predicts feasibility.
| Quantity | Symbol | Units | What it tells you |
|---|---|---|---|
| Enthalpy | ΔH | kJ mol⁻¹ | Heat released/absorbed |
| Entropy | ΔS | J K⁻¹ mol⁻¹ | Change in disorder |
| Gibbs free energy | ΔG | kJ mol⁻¹ | Whether reaction is spontaneous |
Why is entropy only assessed at HL in IB Chemistry?
Entropy and Gibbs free energy sit in Reactivity 1.4, an HL-only sub-topic under the current DP Chemistry guide, first assessed in 2025. SL students cover enthalpy, Hess's law and bond enthalpies but stop short of spontaneity calculations — the extra abstraction and the temperature-dependent maths are reserved for HL's additional teaching hours.
How to Get a 7 in This Topic
How do I calculate the entropy change of a reaction?
Use ΔS°reaction = ΣS°(products) − ΣS°(reactants), using standard entropy values from the data booklet or the question itself. Add up entropies of all products, subtract the sum for reactants, and keep units in J K⁻¹ mol⁻¹ — mixing these up with ΔH's kJ mol⁻¹ is one of the most common calculation errors I mark.
Worked example: CH4(g) + 2O2(g) → CO2(g) + 2H2O(g)
Using S° values (J K⁻¹ mol⁻¹): CH4 = 186, O2 = 205, CO2 = 214, H2O(g) = 189
- Products: 214 + (2 × 189) = 592
- Reactants: 186 + (2 × 205) = 596
- ΔS = 592 − 596 = −4 J K⁻¹ mol⁻¹
Small negative ΔS here makes sense — three moles of gas become three moles of gas, so disorder barely changes.
How do I predict whether a reaction is spontaneous using ΔG?
Calculate ΔG = ΔH − TΔS; a negative result means the reaction is spontaneous at that temperature. Because T multiplies ΔS, a reaction can flip from non-spontaneous to spontaneous — or vice versa — as temperature changes, which is exactly why some reactions only proceed above or below a specific threshold.
| ΔH | ΔS | Spontaneity |
|---|---|---|
| Negative | Positive | Always spontaneous |
| Positive | Negative | Never spontaneous |
| Negative | Negative | Spontaneous at low T |
| Positive | Positive | Spontaneous at high T |
Quick tip: if a question asks for the temperature at which a reaction becomes spontaneous, set ΔG = 0 and solve T = ΔH ÷ ΔS. That's the crossover point examiners love to test.
What are the most common mistakes students make with entropy and Gibbs free energy?
The three mistakes I see most in mock papers: mixing up units (J versus kJ) when substituting into ΔG = ΔH − TΔS; forgetting to convert Celsius to kelvin before calculating; and assuming a negative ΔG means a reaction is fast, when it only confirms the reaction is thermodynamically favourable, not that it's kinetically quick.
Common mistake checklist — check before you submit:
- Are ΔH and ΔG both in kJ mol⁻¹, and ΔS in J K⁻¹ mol⁻¹?
- Have you converted temperature to kelvin (add 273)?
- Have you distinguished 'spontaneous' from 'fast' in your written explanation?
Is entropy and Gibbs free energy hard in IB Chemistry HL?
Yes — it's one of the more abstract HL-only topics, mainly because it asks you to reason about a system without a colour change or a diagram to anchor your intuition. Students who've memorised patterns for Le Chatelier's principle often struggle here, since spontaneity questions demand genuine calculation, not recall.
Exam & Syllabus
How is entropy & Gibbs free energy tested in IB Chemistry?
It appears in Paper 1 (data-based multiple choice), Paper 2 (calculation and extended-response questions), and occasionally Paper 3 (data analysis linking entropy to reaction feasibility). Expect to calculate ΔS° from standard entropy values, calculate ΔG from ΔH and ΔS, and explain spontaneity using command terms such as 'determine' and 'predict'.
Typical breakdown across the exam:
- Paper 1: one or two questions on sign patterns and definitions (1 mark each)
- Paper 2: a multi-part question worth 4–6 marks, usually calculating ΔS then ΔG, sometimes finding the temperature at which ΔG = 0
- Paper 3: less frequent, but can appear as part of a data-based question on an industrial process
Does the IB data booklet give the Gibbs free energy formula?
Yes — the IB Chemistry data booklet lists ΔG° = ΔH° − TΔS° in section 1, so you don't need to memorise it. You do need to remember to convert temperature to kelvin and match units (kJ for ΔH and ΔG, J K⁻¹ for ΔS) before substituting any values.
What past exam questions cover entropy and Gibbs free energy?
Recent Paper 2 questions typically give you standard entropy or enthalpy values and ask you to calculate ΔS, ΔH or ΔG for a named reaction — combustion, decomposition, or an industrial process like the Haber process are common contexts. Examiners often follow with 'state whether this reaction is spontaneous at [temperature]', testing interpretation, not just arithmetic.
Comparisons & Choices
Is IB Chemistry HL harder than SL because of entropy and Gibbs free energy?
Entropy and Gibbs free energy are a genuine reason HL Chemistry feels like a bigger step up — it's a wholly HL-only sub-topic with no SL equivalent, layering extra thermodynamic reasoning on top of the enthalpy content both levels share. It's not the hardest HL topic, but it's one where the maths and the concept both bite at once.
How does the IB's treatment of entropy compare to A-Level thermodynamics?
IB HL Chemistry's entropy and Gibbs free energy content sits roughly level with A-Level Chemistry's thermodynamics coverage, though the IB folds it into core HL content rather than an optional module. That means your child can't choose to skip it if they're studying HL Chemistry — every HL student meets Reactivity 1.4.
Resources & Support
What resources help most when revising entropy and Gibbs free energy?
Past paper questions are non-negotiable here — this topic rewards repeated calculation practice far more than re-reading notes. Look for topical worksheets that isolate Reactivity 1.4 questions by sub-skill, and revision notes that summarise the sign-based spontaneity rules in one clear table your child can memorise in ten minutes.
How can parents help a child who's struggling with this topic?
Sit with your child while they redo one calculation from scratch, out loud, rather than watching them re-read notes — entropy and Gibbs free energy is a 'do it, don't just read it' topic. Ask them to explain why ΔG can flip sign with temperature; if they can't, that's the gap worth targeting before the next mock.
SL vs HL Chemistry: Energetics Coverage
| Aspect | SL Chemistry | HL Chemistry |
| Energetics content | Enthalpy, Hess's law, bond enthalpies | All SL content plus entropy & Gibbs free energy |
| Key equation | ΔH calculations only | ΔG = ΔH − TΔS |
| Assessed in | Paper 1 & 2 | Paper 1, 2 & 3 |
| Typical demand | Recall + simple calculation | Multi-step calculation + interpretation |
For structured practice on Reactivity 1.4, work through RevisionPrep's IB Chemistry Topical Worksheets and Mock Papers — they isolate entropy and Gibbs free energy calculations exactly as they appear in Paper 2 and Paper 3.
