what is the average velocity of molecules of an ideal gas?

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Solution

Dear Student

$T h e r m a l k i n e t i c e n e r g y E_{t} = \frac{3}{2} k T K i n e t i c e n e r g y f r o m t h e m o t i o n o f t h e m o l e c u l e E_{k} = \frac{1}{2} m v^{2} E_{t} = E_{k} \frac{3}{2} k T = \frac{1}{2} m v^{2} v = \sqrt{\frac{3 k T}{m}} a v e r a g e s p e e d o f m o l e c u l e s i s t h e r o o t m e a n s q u a r e s p e e d, d e f i n e d a s v_{r m s} = \sqrt{\frac{3 k T}{m}}$
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