Question

The nitrogen at standard temperature and pressure is 1.251kgm^-3. Calculate the root mean square of nitrogen molecules.

Answer 1

The  root mean square of nitrogen molecules:

$$v_{rms}=\sqrt{\frac{3P}{\rho}}$$

$$v_{rms}=\sqrt{\frac{3(101300)}{1.251}}= 492.9\frac{m}{s}$$