The Mystery: Solving an Atomic Astrophysics Problem

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Hello,
I am currently having a problem on a question in astrophysics. It is asking to find the atomic mass number of a substance given only the temperature and velocity of the substance. I cannot seem to come up with an equation relating them together.

The closest I have come is deriving the line of sight velocity dispersion which I don't think applies. That equation I came up with is:

(simga) = (kT/(mu)(mass proton))^(1/2)

Any help or insight would be greatly appreciated. Thank you in advance, Joe.
 
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which velocity did it give you? there's rms, most probable, or mean?
 
Mean translational velocity
 
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