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What is the relationship between Gibbs free energy and cell potential?

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Question: What is the relationship between Gibbs free energy and cell potential?

Options:

  1. G = -nFE
  2. G = nFE
  3. G = 0
  4. G = nF/E

Correct Answer: G = -nFE

Solution: 

The relationship is given by the equation G = -nFE, where G is Gibbs free energy, n is moles of electrons, F is Faraday\'s constant, and E is cell potential.

What is the relationship between Gibbs free energy and cell potential?

Practice Questions

Q1
What is the relationship between Gibbs free energy and cell potential?
  1. G = -nFE
  2. G = nFE
  3. G = 0
  4. G = nF/E

Questions & Step-by-Step Solutions

What is the relationship between Gibbs free energy and cell potential?
  • Step 1: Understand that Gibbs free energy (G) 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 a galvanic cell during a redox reaction.
  • Step 3: Recognize that the equation G = -nFE shows the relationship between Gibbs free energy and cell potential.
  • Step 4: Identify the variables in the equation: G is Gibbs free energy, n is the number of moles of electrons transferred in the reaction, F is Faraday's constant (approximately 96485 C/mol), and E is the cell potential in volts.
  • Step 5: Realize that a negative Gibbs free energy (G < 0) indicates a spontaneous reaction, which corresponds to a positive cell potential (E > 0).
  • Step 6: Conclude that as the cell potential increases, the Gibbs free energy decreases, meaning the reaction becomes more favorable.
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