Answer : The final volume will be, 84.4 mL
Explanation :
Boyle's Law : It is defined as the pressure of the gas is inversely proportional to the volume of the gas at constant temperature and number of moles.
[tex]P\propto \frac{1}{V}[/tex]
or,
[tex]P_1V_1=P_2V_2[/tex]
where,
[tex]P_1[/tex] = initial pressure = 760 torr
[tex]P_2[/tex] = final pressure = 120 kPa = 900 torr (1 kPa = 7.5 torr)
[tex]V_1[/tex] = initial volume = 100 mL
[tex]V_2[/tex] = final volume = ?
Now put all the given values in the above equation, we get:
[tex]760torr\times 100mL=900torr\times V_2[/tex]
[tex]V_2=84.4mL[/tex]
Therefore, the final volume will be, 84.4 mL