MCQ
What will be the electrode potential of $Cu$ electrode dipped in $0.025\,M\, CuSO_4$ solution if at $298\, K\, Cu$ has the standard reduction potential $0.34\, V$ ............ $\mathrm{V}$
  • A
    $0.047$
  • $0.293$
  • C
    $0.31$
  • D
    $0.387$

Answer

Correct option: B.
$0.293$
b
$\mathrm{Cu}^{+2}+2 \mathrm{e}^{-}  \rightarrow \mathrm{Cu}$

${{\text{E}}_{{\text{C}}{{\text{u}}^{ + 2}}/{\text{Cu}}}} = {\text{E}}_{{\text{C}}{{\text{u}}^{ + 2}}/{\text{Cu}}}^\circ  - \frac{{0.059}}{2}\log \frac{1}{{\left[ {{\text{C}}{{\text{u}}^{ + 2}}} \right]}}$

${{\text{E}}_{{\text{C}}{{\text{u}}^{ + 2}}/{\text{Cu}}}} = 0.34 + \frac{{0.059}}{2}\log 0.025$

$=0.34+0.0295[2 \times 0.7-3] $

$=0.34\,-\,0.0472$

$ \mathrm{E}=0.2928\,\mathrm{V}$

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