# As the temperature is raised from 20°C to 40°C, the average kinetic energy of neon atoms changes by a factor of which of the following? Option 1) $1/2$ Option 2) $\sqrt{313/293 }$ Option 3) $313/293$ Option 4) $2$

As we learnt in

Kinetic Theory of Gases -

Average kinetic energy of the gas molecules is directly proportional to the absolute temperature.

-

$K.E.= \frac{3}{2}RT$

$= \frac{K_{40}}{K_{20}}= \frac{T_{40}}{T_{20}}= \frac{273 +40}{273 +20}= \frac{313}{293}$

Correct option is 3.

Option 1)

$1/2$

This is an incorrect option.

Option 2)

$\sqrt{313/293 }$

This is an incorrect option.

Option 3)

$313/293$

This is the correct option.

Option 4)

$2$

This is an incorrect option.

N

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