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[tex]P_{1} = \text{760.0 mmHg}[/tex]
[tex]T_{1} = \text{22.0°C + 273.15 = 295.15 K}[/tex]
[tex]V_{1} = \text{400.0 mL}[/tex]
[tex]P_{2} = \text{360.0 mmHg}[/tex]
[tex]T_{2} = \text{30.0°C + 273.15 = 303.15 K}[/tex]
[tex]V_{2}[/tex]
[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{400.0 mL} × \frac{\text{760.0 mmHg}}{\text{360.0 mmHg}} × \frac{\text{303.15 K}}{\text{295.15 K}}[/tex]
[tex]\boxed{V_{2} = \text{867.3 mL}}[/tex]
[tex]\\[/tex]
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