Calculating Standard Reduction Potential for In+/In3+ Half-Cell Using Nernst Equation

The standard cell potential for a voltaic cell based on the following spontaneous reactionis +1.46 V. Calculate the standard reduction potential for the In+/In3+ half-cell.Given: Br2 (l) + 2 e- → 2 Br- (aq) E° = +1.065 VIn^+ (aq) + Br2 (l) → In^3+ (aq) + 2 Br^- (aq)

-0.395V

We can use the Nernst equation to calculate the standard reduction potential for the In+/In3+ half-cell.

The half-reaction for the reduction of In3+ to In+ is:

In3+ + e- → In+

The standard electrode potential for this half-reaction can be calculated using the standard cell potential and the half-reaction for the overall reaction:

E° = E°(In+/In3+) – E°(Br2/Br-)

We know that E°(Br2/Br-) is given as +1.065 V and E° for the overall reaction is given as +1.46 V. Substituting these values, we get:

E°(In+/In3+) = E°(overall) – E°(Br2/Br-)
= +1.46 V – (+1.065 V)
= +0.395 V

Therefore, the standard reduction potential for the In+/In3+ half-cell is +0.395 V.

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