Relationship between most probable speed & rotation speed (gas)

AI Thread Summary
The discussion focuses on calculating the most probable speed (v sub mp) and rotational speed (ω) of a monatomic gas. Key equations include v sub mp = √(2kT/m), <V> = (2/√π)(v sub mp), and Vrms = √(3/2) × v sub mp. Participants emphasize the importance of understanding rotational degrees of freedom when relating these speeds to rotational motion. The conversation highlights the need for clarity in the problem statement, particularly regarding the type of gas involved. Overall, the thread aims to assist in connecting translational and rotational speeds in the context of gas behavior.
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Homework Statement


Calculate Speed (v sub mp) and rotation speed (\omega

Homework Equations


(v sub mp) =Sq rt (2kT/m)
<V>= 2/ (sqr rt pi )(V sub mp)
Vrms = sq rt (3/2) X V sub mp

How do I relatate these to rotational speed?

The Attempt at a Solution


Yo mamma

The numbers came out correct where V sub mp < <V> <vrms

But what about poor little omega...

Thanks chaps
 
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by the way make the question clear? is the gas mono or di or poly-atomic? use the concept of rotational degrees of freedom of gas molecules.
 
Monatomic :-) I will look at degrees of freedom for monatomic gases.
 

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