Electrochemistry - Result Question 44

####46. If $E _{Fe^{2+} / Fe}^{\circ}=-0.441 V$ and $E _{Fe^{\circ} / Fe^{2+}}$ $=+0.771 V$, the standard EMF of the reaction $Fe+2 Fe^{3+} \to 3 Fe^{2+}$ will be

(a) $1.653 V$

(b) $1.212 V$

(c) $0.111 V$

(d) $0.330 V$

[2006]

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Solution:

  1. (b)

$Fe \longrightarrow Fe^{2+}+2 e^{-} \quad$ [Anode] $\quad E=-0.441 V$

$\xrightarrow{[Fe^{3+}+e^{-} \longrightarrow Fe^{2+}] \times 2[\text{ [Cathode }] E=+0.771 V}$

$Fe+2 Fe^{3+} \longrightarrow 3 Fe^{2+}$

$E _{\text{cell }}^{o}=E _{\text{cathode }}^{o}-E _{\text{Anode }}^{o}$

$=0.771-(-0.441)=0.771+0.441=1.212 V$



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