Given:
[tex]P_{1} = \text{750 mmHg}[/tex]
[tex]T_{1} = \text{20°C + 273 = 293 K}[/tex]
[tex]V_{1} = \text{450 mL}[/tex]
[tex]P_{2} = \text{30 mmHg}[/tex]
[tex]T_{2} = \text{5°C + 273 = 278 K}[/tex]
Unknown:
[tex]V_{2}[/tex]
Solution:
[tex]\frac{P_{1}V_{1}}{T_{1}} = \frac{P_{2}V_{2}}{T_{2}}[/tex]
[tex]V_{2} = V_{1} × \frac{P_{1}}{P_{2}} × \frac{T_{2}}{T_{1}}[/tex]
[tex]V_{2} = \text{450 mL} × \frac{\text{750 mmHg}}{\text{30 mm Hg}} × \frac{\text{278 K}}{\text{293 K}}[/tex]
[tex]\boxed{V_{2} = \text{10674 mL}}[/tex]
[tex]\\[/tex]
#CarryOnLearning
