Question

Boyle's Law says that the volume of a gas varies inversely with the pressure. When the volume of a certain gas is 2 L, the pressure is 1165 kPa (kilopascals),What is the volume when the pressure is 466 kPa ?

Answer 1

The volume of a gas varies inversely with the pressure

This is written as:

`PV=k`

Where k is a constant

When V=2L, P=1165kPa

Substitute these values into the above equation

`1165*2=k`

It follows:

`k=2330`

Substituting the value of k into the equation gives

`PV=2330`

Find V when P=466kpa

Substitute P=466 into the equation PV=2330

`466* V=2330`

Solve for V

`\begin{gathered} V=(2330)/(466) \\ V=5 \end{gathered}`

Therefore The required volume is 5L