Calc Mass of Earth for Hydrogen Atmos Retention

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SUMMARY

The discussion focuses on calculating the mass required for Earth to retain a significant hydrogen atmosphere, maintaining its current density. The relevant equation involves the temperature limit for hydrogen retention, expressed as T < 5042 (Mp/Rp) * mn, where Mp is the mass ratio of the planet to Earth's mass, Rp is the radius ratio, and mn is the atomic mass number of hydrogen. Participants emphasize the need to clarify the equations provided, as they may not be accurate or useful for solving the problem.

PREREQUISITES
  • Understanding of planetary mass and radius ratios (Mp and Rp)
  • Familiarity with the atomic mass number (mn) of hydrogen
  • Knowledge of atmospheric retention principles
  • Basic algebra for manipulating equations
NEXT STEPS
  • Research the effects of planetary mass on atmospheric retention
  • Study the relationship between temperature and gas retention in planetary atmospheres
  • Explore the concept of escape velocity in relation to atmospheric gases
  • Learn about the properties of hydrogen and its behavior in planetary atmospheres
USEFUL FOR

Students in planetary science, astrophysics enthusiasts, and anyone interested in atmospheric retention dynamics of celestial bodies.

izzy93
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Homework Statement


calculate approximately how much more massive the Earth would have to be before it could retain a significant hydrogen atmosphere, assuming the Earth’s density to be the same as its current value.

Homework Equations


Temperature limit to retain hydrogen in the Earth's atmosphere: T «< 5042 (Mp/Rp ) *mn
Mp= ratio of mass of planet/body to Earth’s RE
Rp = ratio of radius of planet/body to Earth’s
mn= atomic mass number of gas particle

The Attempt at a Solution


not sure how to begin , any tips much appreciated
 
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izzy93 said:
not sure how to begin
Reread the question for starters --- what's showing in "relevant equations" does NOT look terribly correct/useful.
 

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