The Mystery: Solving an Atomic Astrophysics Problem

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SUMMARY

The discussion centers on determining the atomic mass number of a substance using its temperature and velocity in astrophysics. Joe presents an equation for line of sight velocity dispersion: (σ) = (kT/(μ)(mass proton))^(1/2), but questions its applicability. The conversation highlights the need for clarity on which type of velocity—rms, most probable, or mean—should be used in the context of the problem.

PREREQUISITES
  • Understanding of atomic mass number and its significance in astrophysics
  • Familiarity with the kinetic theory of gases
  • Knowledge of the Boltzmann constant (k) and its application
  • Basic concepts of velocity types: rms, most probable, and mean
NEXT STEPS
  • Research the relationship between temperature and atomic mass in kinetic theory
  • Study the derivation and application of the Boltzmann distribution
  • Learn about different types of velocity in statistical mechanics
  • Explore advanced astrophysics problems involving mass and velocity correlations
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Astrophysicists, physics students, and researchers interested in the relationship between temperature and atomic mass in astrophysical contexts.

joekoviously
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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.
 
Physics news on Phys.org
which velocity did it give you? there's rms, most probable, or mean?
 
Mean translational velocity
 

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