SOLUTION
The volume of a gas varies inversely with the pressure
This is written as:
[tex]PV=k[/tex]Where k is a constant
When V=2L, P=1165kPa
Substitute these values into the above equation
[tex]1165\times2=k[/tex]It follows:
[tex]k=2330[/tex]Substituting the value of k into the equation gives
[tex]PV=2330[/tex]Find V when P=466kpa
Substitute P=466 into the equation PV=2330
[tex]466\times V=2330[/tex]Solve for V
[tex]\begin{gathered} V=\frac{2330}{466} \\ V=5 \end{gathered}[/tex]Therefore The required volume is 5L
