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Gibb's Energy and Nernst Equation

If EoFe2+/F...

Question

If $E {^{o}}_{F e^{2 +} / F e} = x_{1} V$ and $E {^{o}}_{F e^{3 +} / F e^{2 +}} = x_{2} V$ , then $E {^{o}}_{F e^{3 +} / F e}$ will be :

(2 x_{1} + x_{2}) V

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(3 x_{2} - x_{1}) V

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(2 x_{1} + x_{2}) / 3 V

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(x_{1} + 2 x_{2}) / 3 V

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Solution

The correct option is C $(2 x_{1} + x_{2}) / 3 V$
$F e^{3 +} \to F e^{2 +} + e^{-} \to x_{2}$

$F e^{2 +} \to F e + 2 e^{-} \to x_{1}$

$F e^{3 +} \to F e + 3 e^{-}$

$T o t a l Δ G = Sum of Δ G of the 2 f a c t o r s$

$∴ - 3 \times F \times E_{c e l l}^{\circ} = - 2 x_{1} \times F - x_{2} \times F$

$∴ 3 E^{\circ} = 2 x_{1} + x_{2}$

$∴ E^{\circ} = \frac{2 x_{1} + x_{2}}{3}$

Hence, the correct option is $C$

Suggest Corrections

Similar questions

E_{F e^{2 +} / F e}^{o} = - 0.441 V

E_{F e^{3 +} / F e^{2 +}}^{o} = 0.771 V

E^{o}

F e + 2 F e^{3 +} \to 3 F e^{2 +}

(E^{o})

F e^{3 +} \to F e

F e^{2 +} + 2 e^{-} \to F e; E_{F e^{2 +} / F e}^{o} = - 0.47 V

F e^{3 +} + e^{-} \to F e^{2 +}; E_{F e^{3} / F e^{2 +}}^{o} = + 0.77 V

(E^{o})

F e^{3 +} \to F e

F e^{2 +} + 2 e 6 - \to F e; E_{F}^{o} e_{F e^{2 +} / F e} = - 0.47 V

F e^{3 +} + e^{-} \to F e^{2 +}; E_{F e^{3 +} / F e^{2 +}}^{o} = + 0.77 V

E_{F e^{2 +} / F e}^{+}

x_{1}

E_{F e^{3 +} / F e}^{+}

x_{2}

E_{F e^{+} / F e^{2 +}}^{+}

Consider the system of equations
$x_{1} + 2 x_{2} + 3 x_{3} = 1$
$x_{2} + 2 x_{3} + 3 x_{1} = 2$
$x_{3} + 2 x_{1} + 3 x_{2} = 3$
then

A. $x_{1} = \frac{2}{3}$

B. $x_{1} + x_{2} = \frac{4}{3}$

C. $x_{3} = - \frac{1}{3}$

D. $x_{1} - x_{2} = \frac{1}{3}$

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