What is the relationship between pressure and temperature for an ideal gas according to the ideal gas law?

The ideal gas law is expressed by the equation ( PV = nRT ), which relates the pressure (P), volume (V), number of moles of gas (n), gas constant (R), and temperature (T) of an ideal gas. This fundamental equation indicates that for a given amount of gas at a constant volume, pressure is directly proportional to temperature.

When analyzing the relationship between pressure and temperature while keeping the volume constant, the equation can be rearranged to show that ( P = \frac{nRT}{V} ). This illustrates that if the temperature increases, the pressure will also increase, provided that the number of moles and the volume remain unchanged.

Thus, this law gives a clear understanding of how temperature affects pressure in an ideal gas scenario, establishing a direct relationship as temperature increases or decreases.