(a) Lithium ion batteries with a LiCoO2 cathode and graphite anode are the most common batteries used in smart phone devices. (3+3+1+3+2=12) (i) Write the redox half-reactions for charging at each specific electrode, as well as the overall reaction. (ii) What is the nominal discharge voltage for this battery? (iii) Determine the Gibbs free energy for this battery system under standard conditions per mole of lithium. (iv) Considering the molecular weight of LiCoO2 and a single carbon atom are 97.87 g/mol and 12 g/mol, respectively, determine the specific capacities of each electrode and the cell in mAh/g assuming a full cathode discharge. (v) For Li-ion batteries, discuss which electrode one would want to be capacity limiting and why?