Answer:
786.7 torr
Explanation:
Boyle's law states that for a gas kept at constant temperature, the pressure and the volume are inversely proportional to each other:
[tex]pV=const.[/tex]
the law can be rewritten as
[tex]p_1 V_1 = p_2 V_2[/tex]
where in this problem we have:
p1 = 708 torr is the initial pressure
V1 = 899 mL is the initial volume
p2 = ? is the final pressure
V2 = 0.90 V1 is the final volume (it is 90% of the initial volume, since the volume of the container has been reduced by 10%)
So, solving the equation for p2 we find
[tex]p_2 = \frac{p_1 V_1}{V_2}=\frac{(708 torr) V_1}{0.90 V_1}=\frac{708 torr}{0.9}=786.7 torr[/tex]
