Abstract: The invention relates to a method for carrying out two chemical reactions in a reactor system comprising at least two mutually separate reactor beds, of which the surfaces exposed to the reactants are catalytically active for the chemical reactions concerned, and at least one partition; wherein at least one first reactor bed is present, which is bounded by at least one partition, which bed is based on a continuous porous structure extending throughout the reactor, and which bed is fixedly connected to said partition; wherein at least one second bed is preset, which is based on a continuous porous structure extending throughout the reactor, and which bed is fixedly connected to said partition, and said second bed, with respect to the first bed, is disposed on the other side of said partition, so that a heat-exchanging contact between said beds is present and the reaction heat of a first chemical reaction carried out in said first reactor bed is supplied or absorbed by carrying out a second chemical reaction in