What is the relationship between temperature and volume in Charles's Law?

The relationship between temperature and volume in Charles's Law is that volume increases with increasing temperature when the pressure is held constant. This law states that the volume of a gas is directly proportional to its absolute temperature (measured in Kelvin) as long as the pressure remains constant. In practical terms, this means that if you heat a gas, the particles gain energy and move more vigorously, causing them to occupy a larger volume.

Charles's Law can be mathematically expressed as V/T = k, where V is volume, T is temperature, and k is a constant for a given amount of gas at a fixed pressure. Therefore, if the temperature increases, the volume must also increase to maintain that constant ratio.

This foundational principle of gas behavior shows how temperature influences the space that gas particles occupy and underlines many practical applications, from hot air balloons rising to the expansion of gases in thermal dynamics. Understanding this law is crucial in both scientific and real-world applications involving gases.