Types Of Cells

To find the standard Gibbs energy change for the given cell reaction, we can use the formula:

Where:

• = number of moles of electrons transferred in the reaction
• = Faraday constant = 96500 C mol^-1
• = standard cell potential = 0.24 V

Step-by-step Calculation:

1. Identify the number of electrons transferred in the balanced reaction:

   The given reaction is:

   Here, each Fe³⁺ ion gains 1 electron to become Fe²⁺. Therefore, for 2 Fe ions, 2 electrons are transferred.

   Thus, .

2. Substitute the values into the equation for Gibbs energy:

3. Calculate:

   Convert Joules to kilojoules:

Conclusion:

The standard Gibbs energy of the cell reaction is , hence the correct answer is the first option: .