We can conclude that the root mean square speed of the molecules of a gas is proportional
to the square root of the temperature and inversely proportional to the square root of the
molar mass. That is, the higher the temperature, the higher the root mean square
speed of the molecules, and, at a given temperature, heavy molecules travel more
slowly than light molecules. The root mean square speed of N2 molecules, for instance,
is found from eqn 1.12 to be 515 m s−1 at 298 K.