Answer:
[tex]V_2=2.93\ L[/tex]
Explanation:
Boyle's law gives the relation between pressure and volume of a gas. Volume of a gas is inversely proportional to its pressure at constant temperature.
[tex]V\propto \dfrac{1}{P}\\\\PV=k[/tex]
[tex]P_1V_1=P_2V_2[/tex]
We have,
[tex]V_1=6.244\ L\\\\P_1=99.21\ kPa\\\\P_2=211.1\ kPa[/tex]
We need to find [tex]V_2[/tex]
Using above equation,
[tex]V_2=\dfrac{P_1V_1}{P_2}\\\\V_2=\dfrac{99.21\times 6.244}{211.1}\\\\V_2=2.93\ L[/tex]
So, the new volume is 2.93 L.
