What does the Ideal Gas Law explain regarding temperature in a pressurized cylinder?

The Ideal Gas Law, represented by the equation PV = nRT, shows the relationship between pressure (P), volume (V), temperature (T), and the amount of gas (n) while R is the ideal gas constant. According to this law, when a gas is contained in a pressurized cylinder, and the volume of the cylinder decreases (while the amount of gas remains constant), the pressure will increase.

However, if the gas is heated while still maintaining constant volume, the temperature of the gas must also increase in response to the increase in pressure, demonstrating a direct relationship—the more pressure applied, the higher the temperature of the gas becomes, provided that no gas escapes and the volume remains constant. This principle can also be observed in applications such as self-pressurizing systems where heating can cause an increase in pressure, reinforcing that temperature and pressure are directly connected.

Thus, the assertion that temperature increases as pressure increases aligns with the Ideal Gas Law, emphasizing this direct relationship.