The absorption of gaseous components in porous particles impregnated with a reactive liquid phase has been studied theoretically. A model that describes this absorption process has been developed in which it is assumed that the porous particles act as a liquid support and are chemically inert. The model is based on the description of diffusion and reaction in a stagnant liquid sphere, and validated with several asymptotic analytical solutions. Both reactions instantaneous with respect to the mass transfer rate and reactions with finite reaction rates can be applied. For the instantaneous reactions an approximation for the dimensionless total accumulation is presented if the diffusivities of the absorbed gas and the other components are uneq...