In this study, performance of a coplanar single chamber solid oxide fuel cell with oxygen-methane-nitrogen under steady state conditions is investigated. The cell geometry is considered two dimensional and the computational domain is consists of gas chamber, anode electrode, cathode electrode and electrolyte. Oxygen-methane-nitrogen mixture is fed to the cell with initial mass fraction of 0.07, 0.14 and 0.77 respectively. All physical properties are considered as temperature dependent. The fully coupled nonlinear governing equations including mass, momentum, species and charge conservation equations are formulated in commercial software and solved using finite elements method. To show the model accuracy, the current model results are compared with a similar numerical model. Finally, the cell performance analysis including velocity, temperature and concentration of all species is discussed. The results show that the maximum temperature is occurred at anode side. This is due to methane oxidation reaction which is extremely exothermic. This temperature growth is an advantage for the cell to be able to reduce its working temperature. Furthermore, it is shown that a large amount of hydrogen leaves the chamber without any use. This is the main reason of low performance occurred in this type of cell.