Final answer:
When the temperature of a gas increases, the rate of movement of its particles increases due to a rise in the average kinetic energy.
Step-by-step explanation:
As the temperature of a gas in a closed container increases, the correct statement about the particles in the substance is that the rate of movement increases. According to kinetic-molecular theory, temperature is proportional to the average kinetic energy of the particles. Therefore, as temperature rises, the average kinetic energy of the gas particles also increases. This heightened kinetic energy results in more rapid and forceful collisions between the particles, thereby increasing the pressure within the container.