1. What is Cell Potential given Change in Gibbs Free Energy?

Definition: This calculator determines the cell potential (E_cell) of an electrochemical cell based on the Gibbs free energy change (ΔG) and the moles of electrons transferred (n) in the redox reaction.

Purpose: It helps chemists and electrochemists relate thermodynamic quantities to electrochemical cell potentials.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( E_{cell} \) — Cell potential (volts)
• \( \Delta G \) — Gibbs free energy change (joules)
• \( n \) — Moles of electrons transferred
• \( F \) — Faraday constant (96485.33212 C/mol)

Explanation: The negative Gibbs free energy change is divided by the product of moles of electrons and Faraday's constant to calculate the cell potential.

3. Importance of Cell Potential Calculation

Details: Cell potential indicates the driving force of an electrochemical reaction and determines whether a reaction will occur spontaneously (ΔG < 0, E_cell > 0).

4. Using the Calculator

Tips: Enter the Gibbs free energy change in joules and the moles of electrons transferred in the redox reaction. The moles of electrons must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What does a positive cell potential indicate?
A: A positive E_cell indicates a spontaneous reaction (ΔG < 0), while negative indicates non-spontaneous.

Q2: How do I determine moles of electrons transferred?
A: Balance the redox reaction to find the stoichiometric coefficient of electrons.

Q3: What units should Gibbs free energy be in?
A: The calculator expects joules (J). If you have kJ, multiply by 1000 before entering.

Q4: Why is the Faraday constant used?
A: It converts between moles of electrons and total charge (1 mole e^- = 96485 C).

Q5: Can this calculate standard cell potential?
A: Yes, if you use standard Gibbs free energy change (ΔG°).