Answer:
158.0 mL
Explanation:
We can solve this problem by using Boyle's law, which states that:
"For a fixed mass of a gas kept at constant temperature, the pressure of the gas is inversely proportional to its volume"
Mathematically:
[tex]p\propto \frac{1}{V}[/tex]
where
p is the pressure of the gas
V is its volume
The equation can be rewritten as
[tex]p_1 V_1 = p_2 V_2[/tex]
where in this problem:
[tex]p_1=99.0 kPa[/tex] is the initial pressure
[tex]V_1=300.0 mL[/tex] is the initial volume
[tex]p_2=188 kPa[/tex] is the final pressure
Solving for V2, we find the final volume:
[tex]V_2=\frac{p_1 V_1}{p_2}=\frac{(99.0)(300.0)}{188}=158.0[/tex] mL
