Gibbs free energy for IB Chemistry R1.4 (HL): how to predict the sign of ΔS, calculate ΔS from standard entropies, use ΔG = ΔH − TΔS without mixing kJ and J, and find the temperature at which a reaction becomes spontaneous. One original six-mark question on the Haber process solved mark by mark, a ΔG vs temperature graph, and why calcium carbonate only decomposes when it is hot.
Questions this lesson answers:
– How do you predict the sign of the entropy change?
– How do you calculate ΔS from standard entropy values?
– Why do you divide ΔS by 1000 in ΔG = ΔH − TΔS?
– At what temperature does a reaction become spontaneous?
– Does spontaneous mean fast?
Practice (try them first, then check):
1. Predict the sign of ΔS° for 2SO₂(g) + O₂(g) → 2SO₃(g). Answer: negative: 3 mol of gas become 2 mol of gas.
2. A reaction has ΔH° = +50 kJ mol⁻¹ and ΔS° = +200 J K⁻¹ mol⁻¹. Above what temperature is it spontaneous? Answer: T = 50 ÷ 0.200 = 250 K, so above 250 K.
3. Calculate ΔG° at 298 K when ΔH° = −100 kJ mol⁻¹ and ΔS° = −150 J K⁻¹ mol⁻¹. Answer: −100 − 298 × (−0.150) = −55 kJ mol⁻¹ (spontaneous).
Watch the full playlist:
More IB Chemistry Year 2 lessons:
Chapters:
0:00 Gibbs free energy (R1.4): the kJ and J trap
0:34 Entropy: predict the sign of ΔS
1:24 Calculate ΔS from standard entropies
2:27 Spot the mistake: three ΔS answers
2:59 Gibbs free energy vs temperature graph: when is it spontaneous?
4:09 Flip the signs: CaCO3 and the Haber process
4:55 Quick check
5:07 Next: ΔG and K
The questions in this video are original, written in the style of the exam. Marks are estimates.
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