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A sample of an ideal gas is cooled from 450 K to 225 K.

Which of the choices below BEST describes the effect on the average molecular kinetic energy, $\overline { KE }$, and the average molecular velocity, $\overline { v }$?

A

Both $\overline { KE }$ and $\overline { v }$ are cut in half.

B

Both $\overline { KE }$ and $\overline { v }$ are reduced by a factor of $\sqrt { 2 }$.

C

$\overline { KE }$ is reduced by a factor of $\sqrt { 2 }$, while $\overline { v }$ is cut in half.

D

$\overline { KE }$ is cut in half, while $\overline { v }$ is reduced by a factor of $\sqrt { 2 }$.

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