Calc Mass of Earth for Hydrogen Atmos Retention

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In summary, the conversation discussed the calculation of the Earth's required mass to retain a significant hydrogen atmosphere, assuming a constant density. The relevant equations provided in the conversation were later deemed incorrect or insufficient, and further tips were requested for approaching the problem.
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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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  • #2
izzy93 said:
not sure how to begin
Reread the question for starters --- what's showing in "relevant equations" does NOT look terribly correct/useful.
 

Related to Calc Mass of Earth for Hydrogen Atmos Retention

1. What is the purpose of calculating the mass of Earth for hydrogen atmosphere retention?

The purpose of this calculation is to determine the amount of hydrogen that Earth can retain in its atmosphere. This information can help us understand the conditions necessary for the presence of a hydrogen-rich atmosphere on a planet and the potential for supporting life.

2. How is the mass of Earth calculated for hydrogen atmosphere retention?

The mass of Earth for hydrogen atmosphere retention is calculated using a combination of mathematical models and data from observations of Earth's atmosphere and the atmospheres of other planets.

3. What factors affect the mass of Earth for hydrogen atmosphere retention?

The mass of Earth for hydrogen atmosphere retention is primarily affected by the strength of Earth's gravity, the temperature of the planet's atmosphere, and the composition of the atmosphere. Other factors such as solar wind and the presence of a magnetic field can also play a role.

4. What is the current estimation of Earth's mass for hydrogen atmosphere retention?

Based on current calculations and data, it is estimated that Earth can retain approximately 3.95x10^16 kg of hydrogen in its atmosphere.

5. How does the mass of Earth for hydrogen atmosphere retention compare to other planets?

Earth's mass for hydrogen atmosphere retention is relatively low compared to other planets in our solar system. For example, Jupiter is estimated to be able to retain approximately 1.04x10^24 kg of hydrogen, while Mars can only retain about 1.5x10^11 kg. The mass of Earth for hydrogen atmosphere retention is thought to be ideal for maintaining a stable atmosphere that can support life.

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