By what factor does the average kinetic energy of the molecules of gas in an aerosol container increase when the temperature is raised from 300 K to 900 Κ?

Respuesta :

Answer:

The average kinetic energy is increased by a factor of 3.

Explanation:

The average kinetic energy is given by:

[tex] \overline{E} = \frac{3}{2}kT [/tex]

Where:

k: is the Boltzmann constant

T: is the temperature

When the temperature is 300 K we have:

[tex] \overline{E_{1}} = \frac{3}{2}300k [/tex]  

Now, when the temperature is 900 K:

[tex] \overline{E_{2}} = \frac{3}{2}900k = 3(\frac{3}{2}300k) = 3\overline{E_{1}} [/tex]  

Therefore, when the temperature is raised from 300 K to 900 Κ, the average kinetic energy is increased by a factor of 3.

I hope it helps you!