\( 2\mathrm{SO_2(g)} + \mathrm{O_2(g)} \longrightarrow 2\mathrm{SO_3(g)} \)
The above reaction is carried out in a vessel starting with partial pressures \( P_{\mathrm{SO_2}} = 250 \, \mathrm{m\,bar} \), \( P_{\mathrm{O_2}} = 750 \, \mathrm{m\,bar} \) and \( P_{\mathrm{SO_3}} = 0 \, \mathrm{bar} \). When the reaction is complete, the total pressure in the reaction vessel is ___________ \( \mathrm{m\,bar} \). (Round off to the Nearest Integer).
