Answer: The newly occupied volume is 11.46 L
Explanation:
Boyle's Law: This law states that pressure is inversely proportional to the volume of the gas at constant temperature and number of moles.
[tex]P\propto \frac{1}{V}[/tex] (At constant temperature and number of moles)
[tex]P_1V_1=P_2V_2[/tex]
where,
[tex]P_1[/tex] = initial pressure of gas = 0.999 atm
[tex]P_2[/tex] = final pressure of gas = 0.802 atm
[tex]V_1[/tex] = initial volume of gas = [tex]9.20 L[/tex]
[tex]V_2[/tex] = final volume of gas = ?
[tex]0.999\times 9.20=0.802\times V_2[/tex]
[tex]V_2=11.46L[/tex]
Therefore, the newly occupied volume is 11.46 L