Answer :

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.

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