Final answer:
To calculate a corresponding standard cell potential, use the equation E° = -ΔG° / (nF). For a standard free energy change of 12 kJ/mol and an electron stoichiometry value of 3, the corresponding standard cell potential is -0.0004 V.
Step-by-step explanation:
To calculate a corresponding standard cell potential for a given standard free energy change (ΔG°) and electron stoichiometry value (n), we can use the equation: ΔG° = -nFE°, where ΔG° is the standard free energy change, n is the number of moles of electrons transferred, and E° is the standard cell potential. Solving for E°, we can rearrange the equation to: E° = -ΔG° / (nF).
In this case, the standard free energy change is 12 kJ/mol and the electron stoichiometry value is 3. Plugging these values into the equation, we have: E° = -12 kJ/mol / (3 × 96485 C/mol) = -0.0004 V.
Therefore, the corresponding standard cell potential is -0.0004 V.