The standard cell potential left(E_mathrmcell^ominusright)$\left(E_{\mathrm{cell}}^{\ominus}\right)$ of a fuel cell based on the oxidation of methanol in air that has been used to power television relay station is measured as 1.21mathrm~V$1.21\mathrm{~V}$. The standard half cell reduction potential for mathrmO_2$\mathrm{O}_2$ left(E_mathrmO_2/mathrmH_2mathrmO^circright)$\left(E_{\mathrm{O}_2/\mathrm{H}_2\mathrm{O}}^{\circ}\right)$ is 1.229mathrm~V$1.229\mathrm{~V}$. Choose the correct statement:

### Related Formula Standard cell EMF is related to standard reduction potentials: E_mathrmcell^circ = E_mathrmcathode^circ - E_mathrmanode^circ$$E_{\mathrm{cell}}^{\circ} = E_{\mathrm{cathode}}^{\circ} - E_{\mathrm{anode}}^{\circ}$$ ### Core Logic In a methanol-oxygen fuel cell: - Anode reaction (Oxidation): Methanol is oxidized to carbon dioxide: mathrmCH_3mathrmOH + mathrmH_2mathrmO rightarrow mathrmCO_2 + 6mathrmH^+ + 6e^-$$\mathrm{CH}_3\mathrm{OH} + \mathrm{H}_2\mathrm{O} \rightarrow \mathrm{CO}_2 + 6\mathrm{H}^+ + 6e^-$$ - Cathode reaction (Reduction): Oxygen is reduced to water: mathrmO_2 + 4mathrmH^+ + 4e^- rightarrow 2mathrmH_2mathrmO$$\mathrm{O}_2 + 4\mathrm{H}^+ + 4e^- \rightarrow 2\mathrm{H}_2\mathrm{O}$$ Hence, cathode is the oxygen electrode, and anode is the methanol electrode. ### Step 1: Calculate Standard Reduction Potential of Anode Using the EMF equation: 1.21mathrm~V = 1.229mathrm~V - E_mathrmanode^circ$$1.21\mathrm{~V} = 1.229\mathrm{~V} - E_{\mathrm{anode}}^{\circ}$$ E_mathrmanode^circ = 1.229 - 1.21 = 0.019mathrm~V = 19mathrm~mV$$E_{\mathrm{anode}}^{\circ} = 1.229 - 1.21 = 0.019\mathrm{~V} = 19\mathrm{~mV}$$ The standard half-cell reduction potential for the mathrmCO_2/mathrmCH_3mathrmOH$\mathrm{CO}_2/\mathrm{CH}_3\mathrm{OH}$ couple is 19mathrm~mV$19\mathrm{~mV}$, matching Option (1). ### Pattern Recognition Fuel cells are galvanic cells where reactants (like fuels and oxidants) are fed continuously to the electrodes, not at one go. Oxidation always occurs at the anode (methanol) and reduction at the cathode (oxygen). ### Evaluation Rubric / Model Answer null ### Chapter Mix Class 12 Chemistry: Electrochemistry