According to Charles' Law, how is volume related to temperature for an ideal gas?

According to Charles' Law, the volume of an ideal gas is directly proportional to its absolute temperature when the pressure is held constant. This means that if the temperature of the gas increases, its volume will also increase, and conversely, if the temperature decreases, the volume will decrease as well. The relationship can be mathematically expressed as V/T = k, where V is the volume, T is the temperature in Kelvin, and k is a constant.

This law applies to ideal gases, which are hypothetical gases that follow the gas laws under all conditions of temperature and pressure. Although real gases may deviate from this ideal behavior under high pressures and low temperatures, the direct proportionality remains a fundamental concept for understanding the behavior of gases in thermodynamics.

In contrast, the other choices present incorrect relationships: an inverse relationship would suggest that as one increases, the other decreases, which is not the case in Charles' Law. A constant relationship would imply that volume does not change with temperature at all, which contradicts the core principle of the law. Lastly, stating that volume is unrelated to temperature disregards the fundamental aspect of gas behavior according to this law, which directly links the two.