Final answer:
According to the kinetic molecular theory of gases, when the temperature of a closed sample of gas increases while its volume decreases, the pressure of the gas will increase.
Step-by-step explanation:
According to the kinetic molecular theory of gases, when the temperature of a closed sample of gas increases while its volume decreases, the pressure of the gas will increase. This can be explained by two gas laws: Amonton's law and Avogadro's law. Amonton's law states that if the temperature is increased, the average speed and kinetic energy of the gas molecules increase.
If the volume is held constant, the increased speed of the gas molecules results in more frequent and more forceful collisions with the walls of the container, therefore increasing the pressure. Avogadro's law states that when the amount of gas increases at a constant pressure, volume increases to yield a constant number of collisions per unit wall area per unit time.