Question 20.13: Predicting the Half-Reactions in an Aqueous Electrolysis Wha...

Predicting the Half-Reactions in an Aqueous Electrolysis

What do you expect to be the half-reactions in the electrolysis of aqueous copper(II) sulfate?

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The species you should consider for half-reactions are \mathrm{Cu}^{2+}(a q), \mathrm{SO}_{4}{ }^{2-}(a q), and \mathrm{H}_{2} \mathrm{O}.

Possible cathode half-reactions are

\begin{gathered} \mathrm{Cu}^{2+}(a q)+2 \mathrm{e}^{-} \longrightarrow \mathrm{Cu}(s) ; E^{\circ}=0.34 \mathrm{~V} \\ 2 \mathrm{H}_{2} \mathrm{O}(l)+2 \mathrm{e}^{-} \longrightarrow \mathrm{H}_{2}(g)+2 \mathrm{OH}^{-}(a q) ; E^{\circ}=-0.83 \mathrm{~V} \end{gathered}

Because the copper electrode potential is much larger than the reduction potential of water, you expect \mathrm{Cu}^{2+} to be reduced.

Possible anode half-reactions are

\begin{gathered} 2 \mathrm{SO}_{4}{ }^{2-}(a q) \longrightarrow \mathrm{S}_{2} \mathrm{O}_{8}{ }^{2-}(a q)+2 \mathrm{e}^{-} ;-E^{\circ}=-2.01 \mathrm{~V} \\ 2 \mathrm{H}_{2} \mathrm{O}(l) \longrightarrow \mathrm{O}_{2}(g)+4 \mathrm{H}^{+}(a q)+4 \mathrm{e}^{-} ;-E^{\circ}=-1.23 \mathrm{~V} \end{gathered}

You expect \mathrm{H}_{2} \mathrm{O} to be oxidized.

The expected half-reactions are

\begin{gathered} \mathrm{Cu}^{2+}(a q)+2 \mathrm{e}^{-} \longrightarrow \mathrm{Cu}(s) \\ 2 \mathrm{H}_{2} \mathrm{O}(l) \longrightarrow \mathrm{O}_{2}(g)+4 \mathrm{H}^{+}(a q)+4 \mathrm{e}^{-} \end{gathered}

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