The standard cell potential cell 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 is 1.229 V. Choose the correct stateme

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Solution

Q.
The standard cell potential cell $(E_{cell}^{⊖})$ 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 $O_{2}$ $(E_{O_{2} / H_{2} O}^{o})$ is 1.229 V.

Choose the correct statement: [2025]

1 The standard half cell reduction potential for the reduction of $C O_{2}$ $(E_{{CO}_{2} / {CH}_{3} O H}^{o})$ 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.

Ans.
(1)

Anode reaction:

${CH}_{3} OH + 6 {OH}^{-} \to {CO}_{2} + 5 H_{2} O + 6 e^{-}, E_{{CO}_{2} / {CH}_{3} OH}^{\circ}$
Cathode reaction:

$\frac{3}{2} O_{2} + 3 H_{2} O + 6 e^{-} \to 6 {OH}^{-}, E_{O_{2} / H_{2} O}^{\circ}$

Net cell reaction:

${CH}_{3} OH + \frac{3}{2} O_{2} \to C O_{2} + 2 H_{2} O, E_{cell}^{\circ}$

$E_{cell}^{\circ} = E_{cathode}^{\circ} - E_{anode}^{\circ}$

$E_{cell}^{\circ} = E_{O_{2} / H_{2} O}^{\circ} - E_{{CO}_{2} / {CH}_{3} OH}^{\circ}$

$1.21 = 1.229 - E_{{CO}_{2} / {CH}_{3} OH}^{\circ}$

$E_{{CO}_{2} / {CH}_{3} OH}^{\circ} = 1.229 - 1.21 = 0.019 V = 19 mV$

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