What is the relationship between the pressure and the volume of a fixed mass of gas at constant temperature? - Leaving Cert Chemistry - Question (b) - 2019

The relationship between the pressure (P) and volume (V) of a fixed mass of gas at constant temperature is defined by Boyle's Law. According to Boyle's Law, pressure and volume are inversely proportional to each other. This can be mathematically expressed as:

$P imes V = k$

where $k$ is a constant for a given amount of gas at a specific temperature.

This means that as the volume of the gas increases, the pressure decreases, and vice versa. This inverse relationship can also be stated as:

• As volume (V) decreases, pressure (P) increases.
• As volume (V) increases, pressure (P) decreases.

Therefore, we can conclude:

$V imes P = ext{constant}$

This relationship illustrates the fundamental principles of gas behavior under varying volume and pressure conditions.