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For the reduction of silver ions with copper metal, the standard cell potential was found to be +0.46 V at 25°C. The value of standard Gibbs energy, ΔG° will be (F = 96500 C mol^-1):

1. -89.0 kJ
2. -89.0 J
3. -44.5 kJ
4. -98.0 kJ

Correct answer: -89.0 kJ

Solution

The relationship between Gibbs free energy and cell potential is ΔG° = -nFE°. Here, n = 2 (as 2 electrons are transferred in the reaction), F = 96500 C mol^-1, and E° = +0.46 V. Substituting, ΔG° = -2 × 96500 × 0.46 = -89,000 J = -89.0 kJ.

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