Question

The average kinetic energy of gas molecules is ________ proportional to the absolute temperature.

Answer 1

The average kinetic energy of a gaseous molecules is directly proportional to the absolute temperature. This indicates that the motion of all the molecules stops if the temperature decreases to absolute zero.

What is average kinetic energy?

The product of each gas molecule's half mass and its square RMS speed yields the average kinetic energy of a gas molecule. In mathematical terms,

$K=\frac{1}{2}mv_{rms}^{2}$

Here, K = Average kinetic energy

         m = Mass

         vrms = RMS velocity.

What is absolute temperature?

The Kelvin scale, where 0 represents absolute zero, is used to measure absolute temperature. The temperature at which matter's particles move the least and cannot cool down is known as the zero point (minimum energy).

How average kinetic energy is related to absolute temperature?

$K=\frac{1}{2}mv_{rms}^{2}$

Now, $v_{rms} = \sqrt{\frac{3RT}{M} }$

Substituiting the value vrms we get,

$K=\frac{1}{2}mv_{rms}^{2}\\\\K= \frac{3}{2} RT$

Thus from the above equation we can see that a gas particles average kinetic energy is directly proportional to the absolute temperature (T) of the gaseous particles. All the gases at the same temperature have the same average kinetic energy (K).

To know more about RMS velocity please click here https://brainly.com/question/15995507

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