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Q. If the concentration of $ M{{g}^{2+}} $ is 0.01 M, the electrode potential of $ M{{g}^{2+}}/Mg $ electrode will be (Given that $ {{E}^{o}}\,M{{g}^{2+}} $ $ Mg=-2.36V $ ):

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Solution:

$ {{E}^{o}}_{M{{g}^{2+}}}{{,}_{Mg}}={{E}^{o}}_{M{{g}^{2+}},Mg} $ $ =\frac{0.0591}{2}\log \frac{[M{{g}^{+2}}]}{[Mg]} $ $ =-2.36+\frac{0.0591}{2}\log \frac{0.01}{1} $ $ =-2.36+\frac{0.0591}{2}\log 0.01 $ $ =-2.36-0.0591 $ $ =-2.4191 $