Respuesta :
Answer: [tex]230m^3[/tex]
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 = 1.1 atm
[tex]P_2[/tex] = final pressure of gas = 0.85 atm
[tex]V_1[/tex] = initial volume of gas = [tex]180m^3[/tex]
[tex]V_2[/tex] = final volume of gas = ?
[tex]1.1\times 180=0.85\times V_2[/tex]
[tex]V_2=230m^3[/tex]
Therefore, the gas would expand to volume of [tex]230m^3[/tex]