Q22 / 53 · NEST (NISER) 2013 · Chemistry

Consider the cell $\mathrm{Pt}\left|\mathrm{Cl}_2\left(P_L\right)\right| \mathrm{HCl}(\mathrm{aq})\left|\mathrm{Cl}_2\left(P_R\right)\right| \mathrm{Pt}$, where $P_L$ and $P_R$ are the $\mathrm{Cl}_2$ pressures at the left and right electrodes. The standard electrode potential of $\mathrm{Cl}_2+2 \mathrm{e}^{-} \rightarrow 2 \mathrm{Cl}^{-}$is 1.36 eV . The correct expression for electrode potential $(E)$ is $(\mathrm{F}$ is the Faraday constant)

  • A
    $E=1.36-\frac{R T}{2 F} \ln \frac{P_L}{P_R}$
  • Correct answer
    B
    $E=-\frac{R T}{2 F} \ln \frac{P_L}{P_R}$
  • C
    $E=-1.36-\frac{R T}{2 F} \ln \frac{P_L}{P_R}$
  • D
    $E=-\frac{R T}{F} \ln \frac{P_L}{P_R}$

Hence, the correct answer is option: 'B'.

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