What is the relationship between Gibbs free energy (ΔG) and cell potential (E) i

Practice Questions

Q1
What is the relationship between Gibbs free energy (ΔG) and cell potential (E) in an electrochemical cell?
  1. ΔG = -nFE
  2. ΔG = nFE
  3. ΔG = -E/nF
  4. ΔG = E/nF

Questions & Step-by-Step Solutions

What is the relationship between Gibbs free energy (ΔG) and cell potential (E) in an electrochemical cell?
  • Step 1: Understand that Gibbs free energy (ΔG) is a measure of the energy available to do work in a chemical reaction.
  • Step 2: Know that cell potential (E) is the voltage produced by an electrochemical cell during a reaction.
  • Step 3: Recognize that there is a mathematical relationship between ΔG and E, which is expressed as ΔG = -nFE.
  • Step 4: Identify the variables in the equation: n is the number of moles of electrons transferred in the reaction, and F is Faraday's constant (approximately 96485 C/mol).
  • Step 5: Understand that a negative ΔG indicates a spontaneous reaction, while a positive E indicates a spontaneous reaction in the electrochemical cell.
  • Step 6: Conclude that if the cell potential (E) is high, the Gibbs free energy (ΔG) will be low (more negative), indicating a favorable reaction.
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