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Question

An excess of liquid mercury is added to an acidified solution of 1.0×103M Fe3+. It is found that 5% of Fe3+ remains at equilibrium at 25C. Calculate EHg2+2/Hg assuming that the only reaction that occurs is
2Hg+2Fe3+Hg2+2+2Fe2+
(Given, EFe3+/Fe2+=0.77 volt).

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Solution

2Hg+2Fe3+Hg2+2+2Fe2+
At equilibrium, excess 103×5100103×952×100103×95100
At equilibrium, Ecell=0
0=Ecell0.05912log[Hg2+2][Fe2+]2[Fe3+]2
=(EHg/Hg2+2+EFe3+/Fe2+
0.05912log(103×952×100)(103×95100)2(103×5100)2
EHg/Hg2+2=0.77+0.05912log(95)3×10525×2
=(0.77+0.0226)
=0.7926 volt
EHg2+2/Hg=+0.7926 volt.

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