A cell is formed using the below half-cell reactions, and the cell is working with 80% efficiency. Work obtained is utilized for isothermal expansion of gas against external pressure of 1 kPa. Find \( \Delta V \) (in \( \text{m}^3 \)).
\[
\frac{1}{2} O_2 + 2H^+ + 2e^- \rightarrow H_2O; \, E^\circ = 1.23 \, \text{V}
\]
\[
6H^+ + CO_2 + 6e^- \rightarrow CH_3OH + H_2O; \, E^\circ = 0.02 \, \text{V}
\]