The standard cell potential $\left(\mathrm{E}_{\text {cell }}^{\ominus}\right)$ of a fuel cell based on the…

The standard cell potential $\left(\mathrm{E}_{\text {cell }}^{\ominus}\right)$ of a fuel cell based on the oxidation of methanol in air that has been used to power television relay station is measured as 1.21 V. The standard half cell reduction potential for $\mathrm{O}_2\left(\mathrm{E}_{\mathrm{O}_2 / \mathrm{H}_2 \mathrm{O}}^{\mathrm{O}}\right)$ is 1.229 V.
Choose the correct statement:
  1. The standard half cell reduction potential for the reduction of $\mathrm{CO}_2\left(\mathrm{E}_{\mathrm{CO}_2 / \mathrm{CH}_3 \mathrm{OH}}^0\right)$ is 19 mV
  2. Oxygen is formed at the anode.
  3. Reactants are fed at one go to each electrode.
  4. Reduction of methanol takes place at the cathode.

Solution

$\begin{aligned}
\because \mathrm{E}_{\text {cell }}^{\mathrm{o}} & =\mathrm{E}_{\text {cathode }}^{\mathrm{o}}-\mathrm{E}_{\text {Anode }}^{\mathrm{o}} \\
1.21 & =1.229-\mathrm{E}_{\text {Anode }}^{\mathrm{o}}
\end{aligned}$
$\because$ Fuel cell involves oxidation of methanol which will occur at anode and reduction of $\mathrm{O}_2$ will occur at cathode.

Asked in: JEE Main 2025 (03 Apr Shift 2)

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