Activation energy is the minimum amount of energy that must be provided for compounds to result in a chemical reaction.
A(g)⇌B(g);ΔH=−40 kJ/mole
ΔH=Ea(f)−Ea(b)=−40kJ
Ea(b)Ea(f)=32
⇒Ea(f)=32Ea(b)
⇒32Ea(b)−Ea(b)=−3Ea(b)=−40kJ
Ea(b)=+120kJ
Ea(f)=32×120=80kJ