Oxidation Reduction Potentials: Nernst's Law

Exercise 15

            

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Calculate the         standard oxidation-reduction potential of the following system: $CuI(s)$ +1$e^-$ $\leftrightarrows$ $Cu(s)+I^{-}(aq)$ Given: $Cu^+$//$Cu$     $E^o_2$= $0.52 \;V$ $L(CuI)$ = $K_{sp}(CuI)$ = $1.1\cdot 10^{-12}\;\frac{mol^2}{L^2}$ (Solubility product)

The following oxidation-reduction reaction is considered: $CuI+e^-$ $\leftrightarrows$ $Cu+I^{-}$     $E^o_1$= $0.52 \;V$ $Cu-e^-$ $\leftrightarrows$ $Cu^{+}$     $E^o_2$= $0.52 \;V$ $CuI$ $\leftrightarrows$ $Cu^{+}+I^{-}$

For this last reaction we can calculate $ E^o $ (see →       potential )! $E^o$ $ =$ $ \frac{0.059}{1}log\;K$ = $ \frac{0.059}{1}log\;(1.1\cdot 10^{-12})$ = $E^o_1-E^o_2$ then $E^o_1$ = $ 0.52 + \frac{0.059}{1}log\;(1.1\cdot 10^{-12})$ = $-0.19\; V$