Question

Consider the following two half-cell reactions along with the standard reduction potential given: \[ \text{CO}_2 + 6H^+ + 6e^- \rightarrow \text{CH}_3\text{OH} + \text{H}_2\text{O} \quad E^\circ_{\text{red}} = 0.02 \, \text{V} \] \[ \frac{1}{2} \text{O}_2 + 2H^+ + 2e^- \rightarrow \text{H}_2\text{O} \quad E^\circ_{\text{red}} = 1.23 \, \text{V} \] A fuel cell was set up using the above two reactions such that the cell operates under the standard condition of 1 bar pressure and 298 K temperature. The fuel cell works with 80% efficiency. If the work derived from the cell using 1 mol of CH\(_3\)OH is used to compress an ideal gas isothermally against a constant pressure of 1 kPa, then the change in the volume of the gas, \( \Delta V = \) _______ m\(^3\) (nearest integer).}

Answer 1

Correct Answer: 561