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Equilibrium Constant from Nernst Equation

Use the follo...

Question

Use the following $E^{o}$ for the electrode potentials, calculate $Δ G^{o}$ in $k J$ for the indicated reaction.
$5 C e^{4 +} (a q) + M n^{2 +} (a q) + 4 H_{2} O (l) \to M n O_{4}^{-} (a q) + 8 H^{+} (a q) M n O_{4}^{-} (a q) + 5 e^{-} \to M n^{2 +} (a q) + 4 H_{2} O (l); E^{o} = + 1.51 V C e^{4 +} + e^{-} \to C e^{3 +} (a q); E^{o} = + 1.61 V$

- 9.65

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- 24.3

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- 48.25

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- 35.2

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Solution

The correct option is C $- 48.25$
$E_{c e l l}^{\circ} = E_{R P (R H S)}^{\circ} - E_{R P (L H S)}^{\circ}$

$= 1.61 - 1.51 \Rightarrow 0.10 V$

$Δ G^{\circ} = - n F E^{\circ} \Rightarrow - 5 \times 96500 \times 0.10 J$

$Δ G^{\circ} = - 48.25 k J$

Hence option (C) is correct.

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Similar questions

M n O_{4}^{-} (a q .) + 8 H^{+} (a q .) + 5 e^{-} \to M n^{2 +} (a q .) + 4 H_{2} O (l); E^{o} = 1.51 V

C r_{2} O_{7}^{2 -} (a q .) + 14 H^{+} (a q .) + 6 e^{-} \to 2 C r^{3 +} (a q .) + 7 H_{2} O (l); E^{o} = 1.38 V

F e^{3 +} (a q .) + e^{-} \to F e^{2 +} (a q .); E^{o} = 0.77 V

C l_{2} (g) + 2 e^{-} \to 2 C l^{-} (a q .); E^{o} = 1.40 V

F e (N O_{3})_{2}

E_{R P}^{o}

M n O_{4}^{-} (a q) + 8 H^{+} + 5 e \to M n^{2 +} (a q) + 4 H_{2} O (l); E^{o} = + 1.52 V

M n O_{4}^{2 -} (a q) + 4 H^{+} + 2 e \to M n O_{2} (s) + 2 H_{2} O (l); E^{o} = + 2.26 V

2 M n O_{4}^{-} (a q) + 2 e \to 2 M n O_{4}^{2 -} (a q); E^{o} = + 0.56 V

M n^{3 +} + e \to M n^{2 +}; E^{o} = + 1.51 V

M n^{4 +} + e \to M n^{3 +}; E^{o} = 0.95 V

M n_{4}^{-} (a q) + 8 H^{+} (a q) + 5 e^{-} \to M n^{2 +} (a q) + 4 H_{2} O (l); E^{\circ} = 1.51 V

C r_{2} O_{7}^{2 -} (a q) + 14 H^{+} + 6 e^{-} \to 2 C r^{3} + (a q) + 7 H_{2} O (l); E^{\circ} = 138 V

F e^{3 +} (a q) + e^{-} \to F e^{2 +} (a q); E^{\circ} = 0.77 V

C l_{2} (g) + 2 e^{-} \to 2 C l^{-} (a q); E^{\circ} = 1.40 V

F e (N O_{3})_{2}

M n O_{4}^{-} (a q .) + 8 H^{+} (a q .) + 5 e^{-} \to M n^{2 +} (a q .) + 4 H_{2} O (l); E^{\circ} = 1.51 v o l t

C r_{2} O_{7}^{2 -} (a q .) + 14 H^{+} (a q .) + 6 e^{-} \to 2 C r^{3 +} (a q .) + 7 H_{2} O (l)^{'} E^{\circ} = 1.38 v o l t

F e^{3 +} (a q .) + e^{-} \to F e^{2 +} (a q .); E^{\circ} = 0.77 v o l t

C l_{2} (g) + 2 e^{-} \to 2 C l^{-} (a q .); E^{\circ} = 1.40 v o l t

F e (N O_{3})_{2}

{T i}^{2 +} (a q) + M g (s) \to T i (s) + {M g}^{2 +} (a q)

{T i}^{2 +} (a q) + 2 e^{-} \to T i (s);

E^{o} = - 1.63 V

{M g}^{2 +} (a q) + 2 e^{-} \to M g (s);

E^{o} = - 2.38 V

Δ G^{o}

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