You are responsible for approximating the current-voltage characteristics for an individual SOFC fuel cell stack. As a first approximation, you assume that the cathode side of the fuel cell dominates both the kinetic losses and the transport losses. Also assume that the open-circuit potential of the cell is 1 V. The fuel cell operates at 700 oC (973 Kelvin) and the cathode input is air at 1 atm pressure. a. Write the cathode half reaction for this fuel cell (as a 4-electron process). b. Your first step is to determine the kinetics at the cathode. You find that the catalyst exchange current density is 0.01 mA/cm2 and that the symmetry factor or transfer coefficient is 0.5. Use the Butler-Volmer equation to plot the kinetic data over the overpotential range of 0 to -0.4 V