hi beckham, banzene has resonance stabilization, which contributes to stability more than the conformation of cyclohexane. so i think benzene is more stable (also i have done a sum in thermochemistry where , 1st u give energy to benzene to overcome resonance energy, and then u hydrogenate it where you give energy to break the 3 double bonds, then energy is liberated when the 6 C-H bonds form and conformation is obtained... if i remember right the energy given is more than energy liberated - so, benzene is stabler)
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