At the same temperature, what can be said about the average kinetic energy of gas molecules?

The average kinetic energy of gas molecules is determined by the temperature of the gas, as expressed by the equation ( KE_{avg} = \frac{3}{2} kT ), where ( KE_{avg} ) is the average kinetic energy, ( k ) is the Boltzmann constant, and ( T ) is the absolute temperature in Kelvin. This equation indicates that, at a given temperature, all gas molecules, regardless of their mass or molecular weight, will have the same average kinetic energy.

This concept is rooted in kinetic molecular theory, which states that temperature is a measure of the average kinetic energy of the particles in a substance. Therefore, at the same temperature, gas molecules exhibit the same average kinetic energy, making this option the only accurate statement regarding the relationship between temperature and average kinetic energy for gas molecules.