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EMF

If Eo1, Eo2...

Question

If $E_{1}^{o}, E_{2}^{o}$ and $E_{3}^{o}$ are standard oxidation potentials for $F e | F e^{2 +}, F e^{2 +} | F e^{3 +}$ and $F e | F e^{3 +}$ , then $E_{3}^{o} = \frac{E_{2}^{o} + 2 E_{1}^{o}}{n}$ . The value of n is:

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Solution

If $E_{1}^{o}, E_{2}^{o}$ and $E_{3}^{o}$ are standard oxidation potentials for $F e | F e^{2 +}, F e^{2 +} | F e^{3 +}$ and $F e | F e^{3 +}$ , then $E_{3}^{o} = \frac{E_{2}^{o} + 2 E_{1}^{o}}{n}$ .

The value of n is 3.
The cell reactions for $E_{1}^{o}, E_{2}^{o}$ and $E_{3}^{o}$ require 2, 1 and 3 electrons respectively.
Hence, $3 E_{3}^{o} = E_{2}^{o} + 2 E_{1}^{o}$ .
$E_{3}^{o} = \frac{E_{2}^{o} + 2 E_{1}^{o}}{3}$ .

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