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Derive Nernst...

Question

Derive Nernst equation for the cell.
$N i (s) | N i^{2 +} (a q . 0.1 M) | | A g^{+} (a q . 0.1 M | A g (s)$ and also find its cell potential. Given:
$E_{A g^{+} / A g}^{\circ} = 0.80 v o l t$ and $E_{N i^{2 +} / N i}^{\circ} = - 0.25 v o l t$ .

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Solution

Cell reaction,
$N i + 2 A g^{+} \to 2 A g + N i^{2 +}; E_{c e l l}^{\circ} = 1.05 v o l t$
Nernst equation, $E_{c e l l} = E_{c e l l}^{\circ} - \frac{0.0591}{2} log \frac{[N i^{2 +}]}{[A g^{+}]^{2}}$
$= (1.05 - 0.0295) v o l t$
$= 1.02 v o l t$ .

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Similar questions

N i | N i^{2 +} (1.0 M) | | A g^{+} (1.0 M) | A g

(E^{\circ}

N i^{2 +} / N i = - 0.25 v o l t, E^{\circ}

A g^{+} / A g = 0.80 v o l t)

N i | {N i}^{2 +} (1.0 M) ∥ {A g}^{+} (1.0 M) | A g [E^{o} f o r {N i}^{2 +} / N i = - 0.25 v o l t, E^{o} f o r {A g}^{+} / A g = 0.80 v o l t]

{[E^{o} f o r A g}^{+} / A g = 0.80 v o l t]

For an equation: Ni(s) + 2Ag⁺(aq) → Ni²⁺(aq) + 2Ag(s) the Nernst equation is written as:

A g^{+} (a q .) + e^{-} \to A g (s)

S n^{2 +} (a q .) + 2 e^{-} \to S n (s)

25^{o} C

0.80 v o l t

- 0.14 v o l t

e m f

S n | S n^{2 +} (1 M) | | A g^{+} (1 M) | A g

M g | M g^{2 +} (a q .) ∥ A g^{+} (a q .) | A g

25^{\circ} C

E_{M g^{2 +} / M g}^{\circ} = - 2.37 v o l t

E_{A g^{+} / A g}^{\circ} = + 0.80 v o l t

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