Question

Derive the relation between average velocity, root mean square and most probable velocity.

Answer 1

The relationship among velocities are :

C_mp\(:\)C_av\(:\)C_rms\(:\) = \(\sqrt{\frac{2RT}{M}}\): \(\sqrt{\frac{8RT}{\pi M}}\) = \(\sqrt{\frac{3RT}{M}}\)

\(\sqrt2:\sqrt{\frac{8}{\pi}}:\sqrt3\)

= 1∙414 \(:\) 1∙596 \(:\) 1∙732

C_mp\(:\)C_av\(:\)C_rms = 1 ∶ 1∙128 ∶ 1∙224.