What type of graph represents the relationship between pressure and temperature of a gas at constant volume?

The relationship between pressure and temperature of a gas at constant volume is described by Gay-Lussac's Law, which states that the pressure of a gas is directly proportional to its absolute temperature when the volume is held constant. This means that as the temperature of the gas increases, so does its pressure, provided the volume remains unchanged.

In the context of graphing this relationship, the correct representation would be a linear graph. When you plot pressure on one axis and temperature (in Kelvin) on the other axis, the result will yield a straight line, indicating that the relationship is linear. The slope of this line reflects the proportionality constant, linking the two variables.

The other types of graphs mentioned, such as curvilinear or exponential graphs, describe relationships where changes between the variables are not constant, suggesting a more complex interaction that does not apply to the straightforward relationship dictated by Gay-Lussac's Law in this scenario. Thus, the linear graph accurately captures the direct proportional relationship between pressure and temperature at constant volume.