The root-mean-square speed of the molecules of an ideal gas is v. The gas is now slowly compressed to one-half its original volume with no change in temperature. What is the root-mean-square speed of the molecules now?
A) 4v
B) 2v
C) v/ $\sqrt { 2 }$
D) v
E) v/2

Question

Quizplus · Accepted Answer

The root-mean-square speed of gas molecules depends only on the temperature, not on the volume. Since the temperature remains constant, the root-mean-square speed remains the same, v.

The Root-Mean-Square Speed of the Molecules of an Ideal Gas 2\sqrt { 2 }2​

The Root-Mean-Square Speed of the Molecules of an Ideal Gas $\sqrt { 2 }$