Answer:
520.8 mL
Explanation:
We can solve this problem by using Boyle's Law, which states that:
"For a fixed mass of an ideal 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
V is the volume
We can rewrite the equation as
[tex]p_1 V_1 = p_2 V_2[/tex]
where here:
[tex]p_1=12.5 psi[/tex] is the initial pressure of the gas
[tex]V_1=750 mL[/tex] is the initial volume
[tex]p_2=18 psi[/tex] is the final pressure
And solving for V2, we find the final volume of the gas:
[tex]V_2=\frac{p_1 V_1}{p_2}=\frac{(12.5)(750)}{18}=520.8 mL[/tex]
