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

SOLUTION

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

$1165\times2=k$

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

$466\times V=2330$

Solve for V

$\begin{gathered} V=\frac{2330}{466} \\ V=5 \end{gathered}$

Therefore The required volume is 5L