What is the equation for pressure as it relates to temperature and volume?

The correct choice illustrates the relationship between pressure and temperature in gases, particularly expressed in terms of the ideal gas law. The equation ( P/T = \text{constant} ) signifies that, for a given amount of gas at constant volume, if the temperature increases, the pressure will also increase proportionally, and vice versa. This connection is a fundamental aspect of gas behavior described by Gay-Lussac's Law.

Understanding that pressure ( P ) is directly related to temperature ( T ) under constant volume helps in analyzing gas-related problems. As you increase the temperature of a gas, the energy of its molecules also increases, which results in more frequent and forceful collisions of these molecules with the walls of the container, thus increasing the pressure.

Other options represent different physical principles or relationships, such as Boyle’s Law or variations of the ideal gas law under different conditions. However, the focus here is on the direct relationship between pressure and temperature, which is precisely captured in this equation.