By what factor does the average kinetic energy of the molecules of gas in an aerosol increase when the temperature is raised from 27 C to 627 C?

Providing thermal energy is the factor which bring increase in the average kinetic energy of gas molecules.

If the temperature is increased, the average kinetic energy of the gas molecules increase due to absorption of thermal energy. Under constant volume, the increased speed of the gas molecules leads forceful collisions with the walls of the container.

This results in the increase in pressure inside the container so we can conclude that thermal energy is the factor which bring increase in the average kinetic energy of gas molecules.

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The average kinetic energy of the molecules of gas in an aerosol increase "triple" when the temperature is raised from 27 C to 627 C.

Explanation:

Particles that are small enough can stay in a gas for fairly long periods of time, in general. As it is understood, certain molecules with some minimum kinetic energy will escape from a liquid surface. As the temperature increases, kinetic energy increases, and therefore evaporation increases. Evaporation also drains off body heat.

As temperature increase the kinetic energy of the molecules of gas in an aerosol hike by triple rate, as the aerosol is a suspension of small solid particles or droplets of liquid in air or other fluid such as fog, dust, haze, smoke, which are very fine in nature, thus spread faster.