2025 MGS(S) PRELIMS P1 Q16

The pressure, \(P\text{ N/m}^2\), of a gas in an enclosed container held at constant temperature is inversely proportional to its volume, \(V\text{ m}^3\). The pressure is \(500\text{ N/m}^2\) when the volume is \(2\text{ m}^3\).

1. Find an equation connecting \(P\) and \(V\).[2]
2. Sketch the graph of \(P\) against \(V\).[1]
3. The volume of the gas is increased by 400%. Calculate the percentage change in its pressure.[2]