Question

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?

Answer 1

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

Step-by-step explanation:

The average kinetic energy is given by:

`\overline{E} = (3)/(2)kT`

Where:

k: is the Boltzmann constant

T: is the temperature

When the temperature is 300 K we have:

`\overline{E_(1)} = (3)/(2)300k`

Now, when the temperature is 900 K:

`\overline{E_(2)} = (3)/(2)900k = 3((3)/(2)300k) = 3\overline{E_(1)}`

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!