$\mathrm{E}_{\mathrm{Fe} 2+/ \mathrm{Fe}}^{\mathrm{o}}=-0.441 \mathrm{~V}$ and $\mathrm{E}_{\mathrm{Fe}^{3+}…

$\mathrm{E}_{\mathrm{Fe} 2+/ \mathrm{Fe}}^{\mathrm{o}}=-0.441 \mathrm{~V}$ and $\mathrm{E}_{\mathrm{Fe}^{3+} \mathrm{Fe}^{2+}}^{\mathrm{O}}=0.771$ $\mathrm{V}$, the standard EMF of the reaction $\mathrm{Fe}$ $+2 \mathrm{Fe}^{3+} \rightarrow 3 \mathrm{Fe}^{2+}$ will be:
  1. $0.111 \mathrm{~V}$
  2. $0.330 \mathrm{~V}$
  3. $1.653 \mathrm{~V}$
  4. $1.212 \mathrm{~V}$

Solution

For the cell reaction $\begin{aligned} & \mathrm{Fe}+2 \mathrm{Fe}^{3+} \rightarrow 3 \mathrm{Fe}^{2+} \\ & \text { Anode reaction is } \mathrm{Fe} \rightarrow \mathrm{Fe}^{2+}+2 \mathrm{e}^{-} \\ & \text {Cathode reaction in } 2 \mathrm{Fe}^{3+}+2 \mathrm{e}^{-} \rightarrow \\ & 2 \mathrm{Fe}^{2+} \\ & \mathrm{E}_{\mathrm{Cell}}^{\circ}=\mathrm{E}_{\text {Cathode }}^{\circ}-\mathrm{E}_{\text {Anode }}^{\circ} \\ & =0.771-(-0.441) \\ & \mathrm{E}_{\mathrm{Cell}}^{\circ}=1.212 \mathrm{~V} \\ & \end{aligned}$ Related Theory If the cell potential is negative, the reaction is reversed. In this case, the electrode of the galvanic cell should be written in a reversed order. Caution The positive potential indicates a spontaneous reaction

Asked in: NEET 2006

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