The final pressure of the gas will be 26.8 kPa when has a final volume of 78.0L.
Boyle's law, also known as the Boyle-Mariotte law, is an experimental gas law that explains the connection between a confined gas's pressure and volume. The pressure of a gas is inversely related to its volume at constant temperature, as well as its number of moles, according to Boyle's law.
P ∝ 1/V
[tex]PV=k[/tex] or [tex]P_{1} V_{1} =P_{2} V_{2}[/tex]
[tex]P_{1}[/tex]= initial gas pressure is 209 kPa
[tex]P_{2}[/tex]= final pressure which is unknown.
[tex]V_{1[/tex]= 10.0 L, which is the gas's initial volume.
[tex]V_{2}[/tex]= 78.0 L, which is the gas's final volume.
We can now use this formula to obtain the final gas pressure by entering all the specified variables.
[tex](209kPa)(10.0L)=P_{2}(78.0L)\\P_{2}=26.8kPa[/tex]
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