Thank you for your response, Aref Wazwaz . Although, I noticed that the reference did not discuss the influence of the reactor choice on the apparent activation energy obtained from a given reaction.
If the reaction conditions are the same Ea should stay the same since the reaction should follow the same mechanism. However like Yurii stated, you can see different Ea values experimentally if there are mass transfer limitations present in your system. You can experimentally test for mass transfer limitations by testing for internal and external mass transfer limitations depending on your system. You can calculate the Weisz–Prater criterion for internal limitations and can either vary the space velocity in flow systems or the agitation/stirring rate in batch systems to test for external limitations. Different types of reactors can vary the concentrations of reactants (such as flow being a constant supply and batch being an initial concentration then being consumed) and the gradients during the reaction, as well as and the surface area of the catalyst being exposed during the reaction, but these shouldn't alter the mechanism unless you have competing reactions/mechanisms. Thus since the mechanism isn't changing the Ea should stay the same.
Mass and energy transfer phenomena may falsify the value of activation energy. In order to eliminate the influence of transport phenomena, gradientless reactors of various designs are used, e.g. rotating basket reactor or spinning catalyst basket reactor.
As I remember, a paper on the falsification of activation energy by transport phenomena was published in Chemical Engineering Science years ago. It concerned the impact of both mass and energy transport. This problem is also presented in books on chemical reaction engineering.
I would check out the Chemical Engineering Science to locate the article and if you have the link for the article or any relevant details on the subject.
Toyese Oyegoke, I guess I was wrong. It wasn't Chem. Eng. Sci. On the other hand, there is a summary of an article on falsification of kinetic parameters on the Internet: doi.org/10.1080/00087647608069938. It could have been this article.
Dear Toyese Oyegoke according to my experience, Yes a reactor type (volume/size/ stirring system) influences the activation energy of the chemical reactions. Because the interference of catalyst to the reactant (with or without solvent) will change according to the type of reactor system and the mass transfer resistance rate also affected by stirring techniques available with reactor(magnetic bar or stirring rod/blade). Even, the heating and cooling systems also influence the rate of chemical reactions but, these problems were easy to figure out and painless to optimize.
It seems that it is better to talk about the possible falsification of the activation energy, but also the potential falsification of the order of a given chemical reaction. t is also worth trying to eliminate transport phenomena in kinetic research.
The reactor design has no effect on the activation energy. The reactor design affects the mass transfer and the rate of the reaction. However, the use of catalyst usually reduces the activation energy by the formation of low energy complex. The use of suitable design increases the mixing and consequently the catalyst reduces the activation energy.
Actually, the apparent activation energy is that in the presence of the catalyst in this case. The suitable reactor design facilitates the mass transfer inside the reactor and consequently increases the catalyst efficiency instead of having dead zones in the reactor in the case of poor design. The net result is an increase the rate of the chemical reaction
Zakaria Al-Qodah this statement is not cleared: "Actually, the apparent activation energy is that in the presence of the catalyst in this case" could make it clearer, I don't get what you meant there
The term "apparent activition energy" is useful, as is the apparent viscosity, but it falsifies the reality a bit. We refer to a given moment in time, but also to given conditions. Bat it should be important for us to have physical constants independent of time and independent of conditions.