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Physical and Chemical Properties of Hydrogen

Calculate the...

Question

Calculate the reduction potential for the given half cells at $25^{o} C$ .
$P t (s) | F e^{2 +} (a q, 0.1 M), F e^{3 +} (a q, 0.01 M); E_{F e^{3 +} / F e^{2 +}}^{0} = + 0.77 V$

E_{F e^{3 +} / F e^{2 +}} = 0.77 V

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E_{F e^{3 +} / F e^{2 +}} = 0.83 V

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E_{F e^{3 +} / F e^{2 +}} = - 0.83 V

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E_{F e^{3 +} / F e^{2 +}} = 0.711 V

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Solution

The correct option is D $E_{F e^{3 +} / F e^{2 +}} = 0.711 V$
The given half cell electrode is a redox electrode.
Here, electrode potential results due to the presence of ions of the same substance in different oxidation states.
The given redox electrode reaction is,
$F e^{3 +} (a q) + e^{-} ⇌ F e^{2 +} (a q)$ (reduction)

Nernst equation for
$a A + b B ⇋ c C + d D$

$E = E^{0} - \frac{2.303 R T}{n F} l o g \frac{[C]^{c} [D]^{d}}{[A]^{a} [B] b} . . . . . (E q n . 1)$

Substituting,

$R = 8.314 J K^{- 1} m o l^{- 1}$

$F = 96500 C / m o l$

$T = 25 + 273 = 298 K$ , we get,

$E = E^{0} - \frac{0.059}{n} l o g \frac{[C]^{c} [D]^{d}}{[A]^{a} [B] b} . . . . (E q n . 2)$
where,
n is the number of electrons inovolved in the reaction.

For given half cell reaction,
$E_{F e^{3 +} / F e^{2 +}} = E_{F e^{3 +} / F e^{2 +}}^{0} - \frac{0.059}{n} l o g \frac{[F e^{2 +}]}{[F e^{3^{+}}]}$

$E_{F e^{3 +} / F e^{2 +}} = 0.77 - \frac{0.059}{1} l o g \frac{0.1}{0.01}$

$E_{F e^{3 +} / F e^{2 +}} = 0.77 - \frac{0.059}{1} l o g 10$

$E_{F e^{3 +} / F e^{2 +}} = 0.711 V$

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Similar questions

298 K

{Z n}^{2 +} (a q) + 2 e^{-} ⇌ Z n (s) - 0.762

{C r}^{3 +} (a q) + 3 e^{-} ⇌ C r (s) - 0.74

2 H^{+} (a q) + 2 e^{-} ⇌ H_{2} (g) + 0.00

{F e}^{3 +} (a q) + e^{-} ⇌ {F e}^{2 +} (a q) + 0.77

F e + 0.4 V - --- \to F e^{2 +} (a q .) - 0.8 V - --- \to F e^{3 +} (a q .)

F e + 0.9 V - --- \to F e (O H)_{2} 0.6 V - -- \to F e (O H)_{3}

F e^{2 +}

F e^{3 +}

25^{o} C

P t (s) | F e^{2 +} (a q, 0.1 M), F e^{3 +} (a q, 0.01 M); E_{F e^{3 +} / F e^{2 +}}^{0} = + 0.77 V

25^{o}

F e^{3 +} | F e^{2 +}

F e^{2 +}

10

F e^{3 +}

E_{F e^{3 +} | F e^{2 +}}^{0} = 0.77 V

25^{o} C .

F e^{3 +} (a q, 0.1 M), F e^{2 +} (a q, 1 M) | P t (s); E_{F e^{3 +} / F e^{2 +}}^{0} = 0.77 V

A g (s) | A g C l (s) ∣ C l^{-} (a q, 0.001 M); E_{A g C l / A g}^{0} = 0.22 V

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