This document describes a diploma project modeling a proton exchange membrane fuel cell (PEMFC) using COMSOL Multiphysics. It presents a two-dimensional, non-isothermal model of the porous cathode-anode gas diffusion layer. The model accounts for single-component species diffusion but not liquid water transport. Tables provide reactions on fuel cell electrodes and parameters used in the COMSOL model. The effect of changing operating conditions like humidity is explored. It is found that humidity has a major impact on electrical potential and current density across the electrodes.