Answer
The Charle's gas law defines the relationship between temperature and volume.
According to this, the volume of gas is directly proportional to its temperature at a constant pressure.
$\frac{V}{T}$ = constant
Therefore as the temperature of a gas increases the volume of the gas increases and as the temperature of a gas decreases the volume of the gas decreases.
According to the kinetic theory, gas molecules collide constantly and exert pressure on the walls of the container and thus, when the volume of the gas decreases they come closer together and collide with the container wall and each other. These collisions lead to an increase in temperature and since the pressure is constant the volume increase results in the increase of temperature.
Work Step by Step
The Charle's gas law defines the relationship between temperature and volume.
According to this, the volume of gas is directly proportional to its temperature at a constant pressure.
$\frac{V}{T}$ = constant
Therefore as the temperature of a gas increases the volume of the gas increases and as the temperature of a gas decreases the volume of the gas decreases.
According to the kinetic theory, gas molecules collide constantly and exert pressure on the walls of the container and thus, when the volume of the gas decreases they come closer together and collide with the container wall and each other. These collisions lead to an increase in temperature and since the pressure is constant the volume increase results in the increase of temperature.