Suppose a battery was made using calcium (Ca) and bismuth (Bi) as the electrodes and had an operation temperature of 600 ^oC. Use the Ca-Bi phase diagram and standard reduction potentials for Bi³⁺/Bi and Ca²⁺/Ca to answer the following questions.

Bi³⁺ + 3e^- Bi; V⁰ = 0.308 V vs. NHE

Ca²⁺ + 2e^- Ca; V⁰ = -2.87 V vs. NHE

(a) Calculate the theoretical open circuit voltage for this battery at standard conditions. Then, draw the voltage profile for the discharge until the composition of the cathode reaches a mole fraction of x_Ca = 0.625.

(b) Suppose you took a snapshot of the battery after it has discharged until the composition of the cathode is x_Ca = 0.55. Label the different components of the battery at this point in the schematic in the electrochemical cell below.