How to individuate the different regimes

As ultrasound can change the reaction rate of a catalyzed reaction, it would be useful to indicate a simple way of discriminating between the three regimes indicated in the previous paragraph. 

Criteria based on activation energy (runs at different temperatures) 

As previously outlined, the main characteristic of a catalyst is to lower the activation energy with respect to a non-catalyzed reaction. Taking into account this fundamental aspect and the much lower activation energies of diffusion processes in liquid as well as gas phases, it is possible to write the following qualitative activation energies AE in the following sequence  

It is useful to observe that the mass transfer coefficient (d, e, f regimes) (Kd) and that for chemical reaction (Kr) increase differently with temperature, Kr being much more importantly affected than Kd. xhe internal diffusion can change from the usual mode if the mean-free-path of the molecules inside the pores of the catalyst is larger than the diameter of the pores. 

Homogeneous reactions AE a 100-400 kj moH first order 4E a 20-300 kJ moH second order Afiab 30-100 kJ mol-1 

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