What does Gay Lussac's Law state about temperature and pressure?

Gay Lussac's Law states that for a given mass of gas at constant volume, the pressure of the gas is directly proportional to its absolute temperature. This means that as the temperature of the gas increases, the pressure also increases, provided that the volume of the gas does not change. This relationship can be described mathematically with the formula ( P/T = k ), where ( P ) is the pressure, ( T ) is the absolute temperature, and ( k ) is a constant for a specific gas at a given volume.

This direct relationship is critical in various applications, such as in understanding gas behavior in different environments and in engineering contexts where temperature and pressure changes can affect system performance. Recognizing that pressure and temperature rise or fall together under constant volume conditions helps in predicting how a gas will respond to changes in its temperature.

In this context, other statements do not accurately reflect the principles of Gay Lussac's Law. One suggests an inverse relationship, which contradicts the direct proportionality defined by the law. Others incorrectly claim that temperature is unrelated to pressure or that pressure remains constant, failing to recognize the fundamental relationship between these two properties in a controlled environment.