Skip to content

9701 · 29.3

Shapes of aromatic organic molecules; σ and π bonds — practice questions

Practice and worked examples for 9701 Shapes of aromatic organic molecules; σ and π bonds. Short previews only — attempt the full question in MarkScheme against the official scheme.

Worked example 1

The enthalpy of hydrogenation of cyclohexene (C₆H₁₀), which has one C=C bond, is -120 kJ mol⁻¹. The experimental enthalpy of hydrogenation of benzene (C₆H₆) to cyclohexane (C₆H₁₂) is -208 kJ mol⁻¹. (a) Predict the enthalpy of hydrogenation for the hypothetical cyclohexa-1,3,5-triene. (b) Calculate the delocalisation energy of benzene. (c) Explain what this value indicates about the stability of benzene.

Show solution outline

(a) The hypothetical cyclohexa-1,3,5-triene has three localised C=C bonds. Predicted enthalpy change = 3 × (enthalpy change for one C=C bond) = 3 × (-120 kJ mol⁻¹) = -360 kJ mol⁻¹.

(b) Delocalisation energy = Theoretical value - Experimental value = |-360 kJ mol⁻¹| - |-208 kJ mol⁻¹| = 360 - 208 = 152 kJ mol⁻¹. (Note: We compare the magnitude of energy released. The difference between the expected release and actual release is the stabilisation energy).

(c) The delocalisation energy of 152 kJ mol⁻¹ indicates that benzene is 152 kJ mol⁻¹ more stable than the hypothetical cyclohexa-1,3,5-triene structure. This significant extra stability is a direct result of the delocalisation of the six π electrons over the entire ring.

Worked example 2

Explain why the C–O bond in phenol (C₆H₅OH) is shorter than the C–O bond in cyclohexanol (C₆H₁₁OH), with reference to orbital overlap.

Show solution outline
  1. In phenol, the oxygen atom is bonded to an sp² hybridised carbon of the benzene ring. One of the lone pairs on the oxygen atom is in a p-orbital that is parallel to the p-orbitals of the ring.
  2. This allows for overlap between the oxygen's p-orbital and the delocalised π system of the benzene ring.
  3. The lone pair is partially delocalised into the ring, giving the C–O bond partial double bond character.
  4. In cyclohexanol, the oxygen is bonded to an sp³ hybridised carbon, which has no π system. The C–O bond is a pure σ single bond.
  5. A bond with partial double bond character is stronger and shorter than a pure single bond. Therefore, the C–O bond in phenol is shorter than in cyclohexanol.