Given:
[tex]V_{1} = \text{250 cm³}[/tex]
[tex]T_{1} = \text{3300 K}[/tex]
[tex]P_{1} = \text{25 lb/cm²}[/tex]
[tex]P_{2} = \text{20 lb/cm²}[/tex]
[tex]T_{2} = \text{230 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{250 cm³} × \frac{\text{25 lb/cm²}}{\text{20 lb/cm²}} × \frac{\text{230 K}}{\text{3300 K}}[/tex]
[tex]\boxed{V_{2} = \text{21.8 cm³}}[/tex]
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