According to Charles's Law, how does gas volume relate to temperature?

Charles's Law states that for a given amount of gas at a constant pressure, the volume of the gas is directly proportional to its temperature measured in Kelvin. This relationship means that as the temperature of the gas increases, the volume also increases, provided that the pressure remains constant. Mathematically, this is expressed as V/T = k, where V is the volume, T is the temperature in Kelvin, and k is a constant.

This direct proportionality arises from the kinetic molecular theory, which explains that higher temperatures impart more kinetic energy to gas molecules, causing them to move more vigorously. As a result, they occupy more space, leading to an increase in volume. This concept is fundamental in understanding gas behavior and is applicable in various real-world scenarios, such as hot air balloons, where increasing temperature leads to an increase in the volume of the heated air, thereby allowing the balloon to rise.

In summary, according to Charles's Law, the correct relationship between gas volume and temperature is that volume is directly proportional to temperature.