A sample of an ideal gas is heated and its Kelvin temperature doubles. If the root-mean-square speed of its molecules was originally v, what is the new root-mean-square speed?
A) 4v
B) 2v
C) v $\sqrt { 2 }$
D) v/ $\sqrt { 2 }$
E) v/4

Question

Quizplus · Accepted Answer

The root-mean-square speed of gas molecules is proportional to the square root of the temperature in Kelvin. If the temperature doubles, the new speed is v multiplied by the square root of 2.

A Sample of an Ideal Gas Is Heated and Its 2\sqrt { 2 }2​

A Sample of an Ideal Gas Is Heated and Its $\sqrt { 2 }$