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9701 · 30.1

Arenes — practice questions

Practice and worked examples for 9701 Arenes. Short previews only — attempt the full question in MarkScheme against the official scheme.

Worked example 1

The enthalpy of hydrogenation of cyclohexene is -120 kJ mol^{-1}. Based on this, predict the enthalpy of hydrogenation for the hypothetical cyclohexa-1,3,5-triene. The experimental value for benzene is -208 kJ mol^{-1}. Calculate the delocalisation energy of benzene.

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Step 1: Calculate the theoretical enthalpy of hydrogenation for a structure with three double bonds (Kekulé structure). Expected ΔH = 3 × (Enthalpy of hydrogenation of cyclohexene) Expected ΔH = $3 \times (-120 \text{ kJ mol}^{-1}) = -360 \text{ kJ mol}^{-1}$

Step 2: Compare the theoretical value with the experimental value. Experimental ΔH for benzene = -208 kJ mol^{-1}

Step 3: Calculate the difference, which represents the delocalisation energy. Delocalisation Energy = Theoretical ΔH - Experimental ΔH Delocalisation Energy = (360 kJ mol1)(208 kJ mol1)=152 kJ mol1(-360 \text{ kJ mol}^{-1}) - (-208 \text{ kJ mol}^{-1}) = -152 \text{ kJ mol}^{-1}

This means that benzene is 152 kJ mol^{-1} more stable than the hypothetical cyclohexa-1,3,5-triene due to the delocalisation of its pi electrons.

Worked example 2

Show the equations for the generation of the electrophile in the nitration of benzene.

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The sulfuric acid is a stronger acid than nitric acid. It protonates the nitric acid, which then eliminates water to form the nitronium ion. Step 1: H₂SO₄ + HNO₃ ⇌ H₂NO₃⁺ + HSO₄⁻ Step 2: H₂NO₃⁺ → NO₂⁺ + H₂O Overall: 2H₂SO₄ + HNO₃ → NO₂⁺ + 2HSO₄⁻ + H₃O⁺ (often simplified as shown above for clarity).

Worked example 3

Devise a single-step synthesis for phenylethanone (C₆H₅COCH₃) starting from benzene. State the reagents, conditions, and write the overall equation.

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This synthesis is achieved via a Friedel-Crafts acylation reaction.

  • Reaction Type: Friedel-Crafts Acylation
  • Reagents: Ethanoyl chloride (CH₃COCl) and anhydrous aluminium chloride (AlCl₃) catalyst.
  • Conditions: Heat under reflux (approx. 60°C) in a non-aqueous solvent (e.g., dry ether).
  • Equation: C₆H₆ + CH₃COCl --(AlCl₃, heat)--> C₆H₅COCH₃ + HCl
  • Product: Phenylethanone (also known as acetophenone).