Final answer:
When the temperature of a gas in a closed, rigid container is increased, the pressure increases due to a higher rate of collisions of gas molecules with the container's walls, as explained by Amonton's law.
Step-by-step explanation:
The pressure of a gas inside a closed, rigid container will increase when the gas temperature increases. This is because the rate of collisions of gas molecules with the surface increases. Therefore, the correct answer is a. rate of collisions of gas molecules with the surface increases. This concept is explained by Amonton's law, which states that at a constant volume, an increase in temperature results in an increase in the average kinetic energy and speed of the gas molecules. Subsequently, this leads to more frequent and forceful collisions with the container walls, causing an increase in pressure.