Answer:- 0.226 L
Solution:- From Boyle's law,"At constant temperature, volume of a gas is inversely proportional to the pressure of the gas."
[tex]P_1V_1=P_2V_2[/tex]
Given:-
[tex]P_1[/tex] = 720. mmHg
[tex]P_2[/tex] = 1120 mmHg
[tex]V_1[/tex] = 352 mL
[tex]V_2[/tex] = ?
the equation could be rearranged for final volume as:
[tex]V_2=\frac{P_1V_1}{P_2}[/tex]
let's plug in the values in the equation and solve it for final volume.
[tex]V_2=\frac{720.mmHg(352mL)}{1120mmHg}[/tex]
[tex]V_2[/tex] = 226 mL
Since, 1000 mL = 1 L
So, [tex]226mL(\frac{1L}{1000mL})[/tex]
= 0.226 L
Hence, the volume of the container is 0.226 L.