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[latex]\begin{gather*} \frac{\mathrm{P}_\mathrm{i} \mathrm{V}_\mathrm{i}} {\mathrm{n}_\mathrm{i} \mathrm{T}_\mathrm{i}}=\frac{\mathrm{P}_\mathrm{f} \mathrm{V}_\mathrm{f}}{\mathrm{n}_\mathrm{f} \mathrm{T}_\mathrm{f}} \\ \\ \frac{\mathrm{P}_\mathrm{i} \mathrm{T}_\mathrm{f}}{\mathrm{T}_\mathrm{i}}=\mathrm{P}_\mathrm{f} \\ \\ \frac{1344 \mathrm{~torr}}{1} \times \frac{1 \mathrm{~atm}}{760 \mathrm {~torr }}=1 . 7 6 8\mathrm{~atm} \\ \\ 23^{\circ} \mathrm{C}+273.15=\mathrm{2 9 6 K} \\ \\ 475^{\circ} \mathrm{C}+273.15=\mathrm{7 4 8 K} \\ \\ \frac{\mathrm{P}_\mathrm{i} \mathrm{T}_\mathrm{f}}{\mathrm{T}_\mathrm{i}}=\mathrm{P}_\mathrm{f} \\ \\ \frac{(1.77 \mathrm{~atm})(748 \mathrm{k})}{296 \mathrm{k}}=\mathrm{P}_\mathrm{f} \\ \\ \mathrm{P}_{\mathrm{f}}=4 . 4 7 \mathrm {~atm} \end{gather*}[/latex]
