[tex]\frac{V1}{T1}[/tex] = k
Explanation:
The relation between volume, V of gas and Temperature, T of a gas is related by Charles Law.
This law states that the volume of a given amount of gas held at a constant pressure is directly proportional to the Kelvin temperature
Thus,
[tex]\frac{V}{T}[/tex] = k
where k is a constant
Therefore,
[tex]\frac{V1}{T1}[/tex] = [tex]\frac{V2}{T2\\}[/tex] = [tex]\frac{V3}{T3}[/tex] ...
This shows, as the volume of a gas goes up, the temperature also goes up and vice-versa.