Air isn't a perfect electric insulator, but it has a very high resistivity. Dry air has a resistivity of approximately \(3 \times 10^{13} \Omega \cdot \mathrm{m}\). A capacitor has square plates \(10 \mathrm{~cm}\) on a side separated by \(1.2 \mathrm{~mm}\) of dry air. If the capacitor is charged to \(250 \mathrm{~V}\), what fraction of the charge will flow across the air gap in 1 minute? Make the approximation that the potential difference doesn't change as the charge flows.