IB DP Chemistry -Reactivity 1.2 Energy cycles in reactions - IB Style Questions For HL Paper 1A -FA 2025
Question
| Substance | \(\Delta H_c^\circ\) (kJ mol−1) |
|---|---|
| C2H6(g) | -1561 |
| C2H4(g) | -1411 |
| H2(g) | -286 |
\[C_2H_4(g) + H_2(g) \rightarrow C_2H_6(g)\]
(B) -1411 – 286 + 1561
(C) -1411 + 286 + 1561
(D) -1561 – 286 – 1411
▶️ Answer/Explanation
Using combustion data in a Hess’s law cycle:
Target: C2H4 + H2 → C2H6
Path: combust reactants and products:
C2H4 + H2 → 2CO2 + 3H2O (ΔH = -1411 – 286)
Reverse: C2H6 → 2CO2 + 3H2O (ΔH = +1561)
Add: ΔH = (-1411 – 286) + 1561
✅ Answer: (B)
Question
| Option | \(\Delta H^\ominus\) | \(\Delta S^\ominus\) |
|---|---|---|
| A | \(+\) | \(+\) |
| B | \(+\) | \(-\) |
| C | \(-\) | \(+\) |
| D | \(-\) | \(-\) |
▶️ Answer/Explanation
The spontaneity of a reaction is determined by the Gibbs free energy change \(\Delta G\), given by \(\Delta G = \Delta H – T\Delta S\).
A reaction is spontaneous when \(\Delta G < 0\).
- If \(\Delta H^\ominus > 0\) (endothermic) and \(\Delta S^\ominus > 0\) (increase in entropy), then \(\Delta G = \Delta H – T\Delta S\) can become negative only when the temperature \(T\) is sufficiently large, because the term \(T\Delta S\) must outweigh the positive \(\Delta H\).
- Thus, a reaction with \(\Delta H^\ominus > 0\) and \(\Delta S^\ominus > 0\) is spontaneous only at high temperature.
- The other sign combinations either make the reaction never spontaneous, always spontaneous, or spontaneous only at low temperature.
✅ Answer: (A)
Question
(A) \( \text{Cl}(g) + e^- \rightarrow \text{Cl}^-(g) \) and \( \text{Li}(g) \rightarrow \text{Li}^+(g) + e^- \)
(B) \( \text{Li}(s) \rightarrow \text{Li}(g) \) and \( \text{Li}^+(g) + \text{Cl}^-(g) \rightarrow \text{LiCl}(s) \)
(C) \( \text{Cl}(g) \rightarrow \tfrac{1}{2}\text{Cl}_2(g) \) and \( \text{Li}(s) \rightarrow \text{Li}(g) \)
(D) \( \tfrac{1}{2}\text{Cl}_2(g) \rightarrow \text{Cl}(g) \) and \( \text{Li}(s) \rightarrow \text{Li}(g) \)
▶️ Answer/Explanation
Entropy increases when:
- a solid turns into a gas,
- a liquid or gas breaks into more gas particles,
- overall disorder increases.
Option D:
- \( \tfrac{1}{2}\text{Cl}_2(g) \rightarrow \text{Cl}(g) \): One molecule becomes two atoms → more disorder → entropy increases.
- \( \text{Li}(s) \rightarrow \text{Li}(g) \): Solid → gas → large increase in entropy.
Both steps increase entropy, making option D the correct choice.
✅ Answer: (D)
