${C u}^{+} (a q)$ is unstable in solution and undergoes simultaneous oxidation and reduction, according to the reaction:
$2 {C u}^{+} (a q) ⇌ {C u}^{2 +} (a q) + C u (s)$
choose correct $E^{o}$ for above reaction if
$E_{{C u}^{2 +} / C u}^{o} = 0.34 V$ and $E_{{C u}^{2 +} / {C u}^{+}}^{o} = 0.15 V$

- 0.38 V

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+ 0.49 V

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+ 0.38 V

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- 0.19 V

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Solution

The correct option is B $+ 0.38 V$
From given data (from $Δ G^{o} = - n E^{o} F$ )
$(i) C u (s) ⟶ {C u}^{2 +} (a q) + 2 e^{-}$ . $Δ G_{1}^{o} = - 2 \times (- 0.34) \times F$
$(i i) {C u}^{2 +} (a q) + e^{-} ⟶ {C u}^{+} (a q)$ . $Δ G_{2}^{o} = - 1 \times (0.15) F$
On adition
$C u (s) ⟶ {C u}^{+} (a q) + e^{-}$ . $Δ G_{3}^{o} = - 1 \times E^{o} \times E$
$Δ G_{3}^{o} = Δ G_{1}^{o} + Δ G_{2}^{o}$
$= (- 2 \times - 0.34 \times F) + (- 1 \times 0.15 \times F)$
$= + 0.68 F - 0.15 F - 0.53 F$
or $E^{o} = - 0.53 V$
Reaction,
$2 {C u}^{+} (a q) ⇌ {C u}^{2 +} (a q) + C u (s) E^{o} = ?$
So, ${C u}^{+} (a q) + e^{-} ⇌ C u (s)$ , $E^{o} = + 0.53 V$
${C u}^{+} (a q) ⇌ {C u}^{2 +} (a q) + e^{-}$ ; $E^{o} = - 0.15 V$
$3 {C u}^{+} (a q) ⇌ {C u}^{2 +} (a q) + C u (s)$ , $E^{o} = + 0.38 V$

Suggest Corrections

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