The absolute temperature of a gas is T. In order to double the rms speed of its molecules, what should be the new absolute temperature?
A) 4T
B) 2T
C) T $\sqrt { 2 }$
D) 8T
E) 16T

Question

Quizplus · Accepted Answer

The root mean square (rms) speed of gas molecules is proportional to the square root of the absolute temperature. To double the rms speed, the temperature must be increased by a factor of 4, hence the new temperature should be 4T.

The Absolute Temperature of a Gas Is T 2\sqrt { 2 }2​

The Absolute Temperature of a Gas Is T $\sqrt { 2 }$