What is the relationship between the volume and the temperature (in Kelvin) of a fixed mass of gas at constant pressure? - Leaving Cert Chemistry - Question e - 2021

Mathematically, Charles's Law can be expressed as:

rac{V_1}{T_1} = rac{V_2}{T_2}

Where:

• $V_1$ and $V_2$ are the initial and final volumes, respectively.
• $T_1$ and $T_2$ are the initial and final absolute temperatures (in Kelvin).

From this, we can conclude that as the temperature increases, the volume also increases, and the relationship can be simplified to:

$$V ext{ is proportional to } T ext{ at constant pressure.}$$

This means that if the temperature of the gas is doubled, the volume will also double, assuming that pressure remains unchanged.