Question

A gas mixture consists of molecules of type 1, 2 and 3 with molar masses $m_1>m_2>m_3{\nu }_{rms}.\overline{K}$ and are the rms speed and average kinetic energy of the gases. Which of the following is true

• A. and
  
• B. and
  
  
• C. and
  
  
• D. and
  
  

Answer 1

The correct option is A and


The rms speed depends upon the molecular mass ${\nu }_{rms}\propto \frac{1}{\sqrt{M}}$ but kinetic energy does not depends on it $E\propto M^0$
In the problem $m_1>m_2>m_3\therefore$ $({\nu }_{rms}{)}_1<({\nu }_{rms}{)}_2<({\nu }_{rms}{)}_3$ but $\left({\overline{K}}_1\right)=\left({\overline{K}}_2\right)=\left({\overline{K}}_3\right)$