A gas mixture consists of molecules of type 1, 2 and 3 with molar masses m₁ > m₂ > m₃. v_rms and <K> are the rms speed and average kinetic energy of the gas, respectively. Which of the following is true ?

v_rms1 < v_rms2 < v_rms3 and <K>₁ = <K>₂ = <K>₃

The rms speed depends upon the molecular mass i.e.

\(v_{rms} \propto \frac{1}{\sqrt{M}}\)

but kinetic energy does not depend on it i.e.

E \(\propto\) m

In : m₁ > m₂ > m₃ 

\(\Rightarrow \) v_rms1 < v_rms2 < v_rms3 and <K>₁ = <K>₂ = <K>₃