Question

Determine E° for a galvanic (voltaic) cell if ∆G° = -3.1 kJ/mol and n = 3. (F = 96,500 J/(V･mol))

Answer 1

The Nernst equation is used to determine the standard cell potential (E°) for a galvanic (voltaic) cell. Given ∆G° = -3.1 kJ/mol and n = 3, the standard cell potential can be calculated as approximately 0.042 V.

Step-by-step explanation:

The Nernst equation is used to determine the standard cell potential (E°) for a galvanic (voltaic) cell. In this case, the equation is AG° = -nFE, where AG° is the standard free energy change, n is the number of electrons transferred, F is Faraday's constant, and E is the standard cell potential. Given that ∆G° = -3.1 kJ/mol and n = 3, we can substitute these values into the equation to solve for E°:

AG° = -nFE

-3.1 kJ/mol = -3(96,500 J/(V･mol))(E°)

E° = -3.1 kJ/mol / (-3(96,500 J/(V･mol)))

E° ≈ 0.042 V

Therefore, the standard cell potential (E°) for the galvanic cell is approximately 0.042 V.