We compare the Free Energy Perturbation (FEP) and Thermodynamic Integration (TI) approaches in slab-geometries where the electrostatic interactions are handled with the standard three-dimensionally Ewald summation technique. The comparison between FEP and TI is made through energy distributions in the analysis of the phase space sampling between the forward and backward directions, the reversibility of the perturbation, the number of windows and the consistency of the free energy decomposition into individual components. We report here free energy calculations in order to predict the shift in the redox potential in self-assembled monolayers (SAMs) as the coadsorbed chain length is changed. The reproduction of the free energies with respect to the electrolyte is tested on neutral and charged simulation cells.