The irreversible elementary gas phase reaction A $->$ B $+$ C is performed in two different experiments: the first one is performed in a PRF$,$ the second one is performed in a CSTR$.$ For the first experiment, pure A is fed to a $0\mathrm{.}01$ m$3$ PFR at $27$oC with a volumetric flow rate of $0\mathrm{.}3$ m$3/$min$.$ For the second experiment, a mixture of $50\%$ A and $50\%$ inert is fed to a $0\mathrm{.}01$ m$3$ CSTR at $47$oC with volumetric flow rate of $0\mathrm{.}3$ m$3/$min$.$

If $75\%$ conversion is achieved in both of the experiments, what is the activation energy of the reaction?