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.
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(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.