You ask for relationships that cannot be clearly specified without performing an experiment. Moreover, such results regarding the influence of porosity will be difficult to generalize, as they will apply to different adsorbents. Only one can try to infer the influence of the particle size on the intraparticle mass transfer resistance, which in turn may have an impact on the adsorption efficiency.

dear Mirosław Grzesik , thank you for your comment.

Certainly some research has been done about these relationships because the relevant applications can be seen in adsorption-based purification systems. For example, in water treatment systems, the adsorbent particles used in filters have the uniform shape and size, and this can not be without reason. It also makes sense that the recovery efficiency of an adsorbent with high porosity is less than the recovery efficiency of an adsorbent from the same type but with low porosity. But unfortunately I did not find references that directly addressed these relationships.

Ghasem Rahimi

For porous adsorbents, the main characteristic is the specific pore surface (dimension m2 / g). The larger the specific surface area, the greater the degree of extraction of substances by the adsorbent. However, the relationship is not straightforward. There are various models. The shape of the adsorbent affects the packing of the adsorbent in the reactor and does not affect the characteristics of its adsorption. And about the kinetics of adsorption. The kinetics of adsorption depends on the diffusion of the adsorbed substance. There are many different models of external, internal, mixed diffusion kinetics.

Ghasem Rahimi, We have to specify whether we mean a single particle or a bed. The formation of the adsorbent is related to a specific porosity of the particles. Therefore, it is not possible to study the influence of particle porosity on the process parameters of adsorption or desorption. For a given adsorbent, however, we can obtain particles of different sizes and shapes. Thus, we can try to experimentally determine the influence of the mean particle size and the shape factor (sphericity) on the adsorption and recovery efficiencies. In the case of a bed, we can change its porosity by changing the shape and size of the particles. However, I do not think that the porosity of the bed itself will have a significant impact on the adsorbent recovery - the effect of the mean particle size will be more important. The most important here are molecules-active surface interactions. Regards,

I completely agree with Yuri Mirgorod , if those situations were simple and general as you're looking for, than we wouldn't need so many articles in adsorption behavior.