MCQ
The standard electrode potential for $Cu^{+2}/Cu$ is $0.34\, volt$ calculate the reduction potential at $pH = 14$ for the above couple ............... $\mathrm{V}$  $[K_{sp}[Cu(OH)_2) = 1 \times 10^{-19}]$
  • A
    $+0.03$
  • B
    $-3.09$
  • $-0.22$
  • D
    $1.50$

Answer

Correct option: C.
$-0.22$
c
$\mathrm{Cu}^{+2}+2 \mathrm{e}^{-} \longrightarrow \mathrm{Cu}$

$E=E^{\circ}-\frac{0.06}{2} \log \frac{1}{\left(\mathbf{C u}^{+2}\right)}$

$\mathrm{Cu}(\mathrm{OH})_{2} \rightleftharpoons \mathrm{Cu}^{+2}+2 \mathrm{OH}^{-}$

$\mathrm{k}_{\mathrm{sp}}=\left(\mathrm{Cu}^{+2}\right)\left(\mathrm{OH}^{-}\right)^{2}$

$10^{-19}=\left(\mathrm{Cu}^{+2}\right)(1)^{2}$

$\left( {{\text{C}}{{\text{u}}^{ + 2}}} \right) = {10^{ - 19}}$    ${{\text{P}}^{\text{H}}} = 14$

                                 ${\mathrm{P}^{\mathrm{OH}}=0}$

                                 ${\mathrm{OH}^{-} \Rightarrow 1}$

solve it

${E}=-\,0.22\, \mathrm{V}$

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