A titanium sampling cylinder is used on a deep-sea research vessel to collect a sample of high-pressure methane gas.

Draw on this

The initial pressure, $P_1$, inside the cylinder is 24.0 MPa.

The internal volume, $V_1$, of the cylinder is 45.0 cm³.

When the valve is opened, the gas expands to fill the large, evacuated expansion chamber.

The final volume of the gas, $V_2$, in the expansion chamber is 1800 cm³.

Calculate the final pressure, $P_2$, of the methane gas inside the expansion chamber.

Use the equation:

$$P_1{V}_1=P_2{V}_2$$