Consider the half reaction of the LiFePO4 cathode material used in lithium ion batteries: FePO4 + Li+ + e-←→LiFePO4. 

a) What is the voltage you expect this battery to have from Nernst Equation? 

b) Modern LiFePO4 electrodes show very small overpotentials. How does this observation reflect the kinetic properties of LiFePO4? What can you say about the activation energy (or any energy barrier) to for the FePO4 + Li+ + e-←→LiFePO4 reaction? 

c) If the overpotential observed during charging is nearly identical to the overpotential observed during discharge, what is the shape of the curve of free energy vs. reaction coordinate? Is α close to 0, 0.5, or 1 ?