We can see here that the standard cell potential, E°(cell), for the given reaction is 4.26 V.
How we arrived at the solution
The standard cell potential, E°(cell), can be calculated using the standard reduction potentials of the half-reactions involved in the cell.
To find E°(cell) for the given reaction:
1. Write the two half-reactions:
a. Au³⁺(aq) + 3e⁻ → Au(s) (reduction half-reaction)
b. Ca²⁺(aq) + 2e⁻ → Ca(s) (oxidation half-reaction)
2. Look up the standard reduction potentials (E°) for each half-reaction. These values are typically provided in a reference table or textbook. Let's assume:
a. E°(Au³⁺/Au) = 1.50 V (hypothetical value)
b. E°(Ca²⁺/Ca) = -2.76 V (hypothetical value)
3. The overall cell potential is calculated by taking the difference between the reduction potential of the reduction half-reaction (Au³⁺/Au) and the oxidation potential of the oxidation half-reaction (Ca²⁺/Ca):
E°(cell) = E°(reduction) - E°(oxidation)
= 1.50 V - (-2.76 V)
= 4.26 V
Therefore, the standard cell potential, E°(cell), for the given reaction is 4.26 V.