State that some chemical reactions are reversible as shown by the symbol $ ightleftharpoons$

Chemical Reactions – Reversible Reactions and Equilibrium (IGCSE 0620)

1. What is a reversible reaction?

  • A chemical change that can proceed forward (reactants → products) and reverse (products → reactants).
  • It is written with a double‑arrow: \( \rightleftharpoons \) to show that the products can react to reform the reactants.

2. General representation

$$\text{Reactants} \; \rightleftharpoons \; \text{Products}$$

Example – synthesis of ammonia (Haber process):

$$\mathrm{N_2(g) + 3\,H_2(g) \; \rightleftharpoons \; 2\,NH_3(g)}$$

3. Dynamic equilibrium

  • In a closed system the forward and reverse reactions continue to occur.
  • When the two rates become equal, the concentrations of all species stop changing – this is dynamic equilibrium.
  • At equilibrium:
    • Rate forward = Rate reverse
    • Concentrations are constant (they need not be equal).

3.1 Graphical illustration (Supplement 6.3.2)

Concentration vs time graph showing approach to equilibrium
Typical concentration‑vs‑time curve: the forward rate (red) falls while the reverse rate (blue) rises until they become equal (equilibrium).

How to use the graph – Students should be able to state at which point the curve becomes straight (no further change) and explain why this represents dynamic equilibrium.

4. Reversible reactions involving hydrated salts (Core 6.3.1)

Many ionic salts exist as hydrates. Heating removes water as vapour; adding liquid water reforms the hydrate. Both directions are shown with the double‑arrow.

Salt (hydrate) Heating (→ anhydrous) Adding water (→ hydrate)
Copper(II) sulphate pentahydrate, CuSO₄·5H₂O $$\mathrm{CuSO_4\cdot5H_2O(s) \xrightarrow{\Delta} CuSO_4(s) + 5H_2O(g)}$$ $$\mathrm{CuSO_4(s) + 5H_2O(l) \rightleftharpoons CuSO_4\cdot5H_2O(s)}$$
Cobalt(II) chloride hexahydrate, CoCl₂·6H₂O $$\mathrm{CoCl_2\cdot6H_2O(s) \xrightarrow{\Delta} CoCl_2(s) + 6H_2O(g)}$$ $$\mathrm{CoCl_2(s) + 6H_2O(l) \rightleftharpoons CoCl_2\cdot6H_2O(s)}$$
  • Heating drives the reaction to the **anhydrous side** (left of the double‑arrow) because water is removed as vapour.
  • Adding water drives the reaction to the **hydrated side** (right of the double‑arrow) as the system absorbs the added water.

5. Le Chatelier’s principle – how conditions shift equilibrium (Supplement 6.3.2)

When a system at equilibrium is disturbed, it responds so as to minimise the disturbance.

Change applied Direction of shift Reason (linked to ΔH where relevant)
Increase concentration of a reactant Right (more products) The system consumes the added reactant.
Increase concentration of a product Left (more reactants) The system reduces the added product.
Increase temperature – forward reaction is endothermic (ΔH > 0) Right Heat is treated as a reactant; adding heat drives the reaction forward.
Increase temperature – forward reaction is exothermic (ΔH < 0) Left Heat is treated as a product; adding heat drives the reverse reaction.
Decrease temperature – forward reaction endothermic Left Removing heat removes a reactant.
Decrease temperature – forward reaction exothermic Right Removing heat removes a product.
Increase pressure (or decrease volume) for a gaseous system Towards side with fewer moles of gas The system reduces total pressure.
Decrease pressure (or increase volume) for a gaseous system Towards side with more moles of gas The system increases total pressure.
Add a catalyst No shift Both forward and reverse rates increase equally.

5.1 Example of the pressure rule (required for the syllabus)

For the Haber process:

$$\mathrm{N_2(g) + 3\,H_2(g) \rightleftharpoons 2\,NH_3(g)}$$

4 mol of gas on the left → 2 mol on the right. Increasing pressure therefore shifts the equilibrium **right** (towards fewer gas molecules).

6. Interpreting equilibrium data (Quantitative/graphical – Supplement 6.3.2)

Students are often asked to read a simple concentration‑vs‑time diagram and answer questions such as:

  1. At what time does equilibrium occur? (the point where the curve becomes straight)
  2. Which direction is dominant before equilibrium? (compare the slopes of reactant and product curves)
  3. How would the curve change if the temperature were increased for an exothermic forward reaction? (the equilibrium point would move left; the product curve would fall, the reactant curve would rise).

7. Industrial examples (Core 6.3.2)

7.1 Haber process – ammonia synthesis

$$\mathrm{N_2(g) + 3\,H_2(g) \rightleftharpoons 2\,NH_3(g)}\qquad \Delta H = -92\ \text{kJ mol}^{-1}$$

  • Forward reaction is exothermic → raising temperature shifts the equilibrium **left**.
  • 4 mol (gas) → 2 mol (gas). High pressure (e.g., 150 atm) shifts the equilibrium **right**.
  • Iron catalyst speeds up the approach to equilibrium but does **not** change its position.

7.2 Contact process – sulphuric acid production

Key step:

$$\mathrm{2\,SO_2(g) + O_2(g) \rightleftharpoons 2\,SO_3(g)}\qquad \Delta H = -198\ \text{kJ mol}^{-1}$$

  • Exothermic forward reaction → increasing temperature shifts the equilibrium **left**.
  • 3 mol (gas) → 2 mol (gas). Raising pressure therefore shifts the equilibrium **right**.
  • Vanadium(V) oxide (V₂O₅) acts as a catalyst; it does not affect the equilibrium position.

8. Summary table – factors that affect equilibrium position

Factor Effect on position Explanation (ΔH where needed)
Increase reactant concentration Shift right System consumes the added reactant.
Increase product concentration Shift left System reduces the added product.
Increase temperature – forward endothermic (ΔH > 0) Shift right Heat acts as a reactant.
Increase temperature – forward exothermic (ΔH < 0) Shift left Heat acts as a product.
Decrease temperature – forward endothermic Shift left Heat (reactant) removed.
Decrease temperature – forward exothermic Shift right Heat (product) removed.
Increase pressure (gases only) Shift toward side with fewer gas moles System reduces total pressure.
Decrease pressure (gases only) Shift toward side with more gas moles System increases total pressure.
Add a catalyst No shift Both forward and reverse rates increase equally.

9. Quick experimental design idea (to show a catalyst does not shift equilibrium)

Place two identical sealed tubes containing a coloured equilibrium system (e.g., CuSO₄·5H₂OCuSO₄ + water vapour). Add a solid catalyst to one tube only. Record the time taken for the colour to stop changing. The tube with the catalyst reaches equilibrium faster, but the final colour intensity (i.e., the equilibrium position) is the same in both tubes.

10. Key points to remember

  1. Reversible reactions are written with the double‑arrow \( \rightleftharpoons \).
  2. Dynamic equilibrium means equal forward and reverse rates; concentrations become constant.
  3. Le Chatelier’s principle predicts the *direction* of shift when concentration, temperature, pressure or a catalyst is changed. The temperature effect depends on whether the forward reaction is endothermic (ΔH > 0) or exothermic (ΔH < 0).
  4. For hydrated salts, heating drives the reaction to the anhydrous side; adding water drives it to the hydrated side (CuSO₄·5H₂O and CoCl₂·6H₂O are the required examples).
  5. Industrial processes (Haber and Contact) illustrate how manufacturers manipulate temperature, pressure and catalysts to obtain maximum yield while respecting Le Chatelier’s principle.
  6. Students must be able to read a concentration‑vs‑time graph, identify the point of equilibrium, and explain how a change in conditions would alter the curve.
Suggested diagram: Energy profile showing forward and reverse pathways with a double‑arrow indicating dynamic equilibrium.

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