Calc Mass of Earth for Hydrogen Atmos Retention

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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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Discussion

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