Electrochemistry Question from USNCO
Given these standard reduction potentials, what is the standard reduction potential for $$ \ce{Co^{3+}(aq) +3e- -> Co(s)} $$ Given:
\begin{align} \ce{Co^{3+}(aq) + e- &-> Co^{2+}(aq)} & E° &= \pu{+1.82 V} \\ \ce{Co^{2+}(aq) + 2e- &-> Co(s)} & E° &= \pu{-0.28 V} \end{align}
Given:what is the standard reduction potential for $\ce{Co^{3+}(aq) +3e- -> Co(s)}$?
\begin{align} \ce{Co^{3+}(aq) + e- &-> Co^{2+}(aq)} & E° &=1.82~\mathrm{V}\\ \ce{Co^{2+}(aq) + 2e- &-> Co(s)} & E° &=-0.28~\mathrm{V}\\ \end{align}
When you If I add them up these two half-equations to get the net equationdesired half-equation, youI get $1.54~\mathrm{V}$$E^\circ = \pu{+1.54 V}$. But the correct answer is $0.42~\mathrm{V}$$\pu{+ 0.42 V}$!
Am I missing something?