The particular feature of the system is the temperature increase due to the high exothermicity of both reactions. The aim of this work was to analyze different schemes of heat transfer in a fixed bed reactor for a 5 kW PEM fuel cell using CuO-CeO2 based catalysts, which make the system selective towards CO oxidation: a) heat exchange, b) adiabatic regime. For case a) a shell and tube equipment in which the reaction occurs inside the tube and the heat exchanging fluid flows through the shell was considered. The reaction was supposed to occur inside the tubes to guarantee better heat exchange. The catalytic material was considered to have a low characteristic length, which enhances the contact with the catalyst.