Answer:
8.68 L is the new volume
Explanation:
You use Boyle's law for this.
[tex]P_{1}V_{1}=P_{2}V_{2}[/tex]
[tex]P_{1}[/tex] = first pressure
[tex]P_{2}[/tex] = second pressure
[tex]V_{1}[/tex] = first volume
[tex]V_{2}[/tex] = second volume
Convert pressure from atm to mmHg (use same units):
5.97 x 760 = 4537.2 -> 4.54 x 10³
...maintain 3 significant figures in calculation, and round as needed...
(4.54 x 10³ mmHg)(2.79 L) = (1460 mmHg)([tex]V_{2}[/tex])
(4.54 x 10³ mmHg)(2.79 L) / (1460 mmHg) = [tex]V_{2}[/tex] = 8.68 L
Hope this helps :)