How quickly does the Earth's atmosphere dissipate into space?

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The discussion centers on the rate at which Earth's atmosphere dissipates into space, with a focus on both current estimates and models that account for time and mass dependencies. Participants highlight that the flow and energy of atmospheric escape can be inferred from phenomena like auroras, but emphasize that typical atmospheric outflow is minimal under normal conditions. The conversation draws parallels to evaporation, explaining that only molecules with sufficient kinetic energy can escape Earth's gravitational pull. Lighter molecules, such as hydrogen, are more likely to achieve escape velocity, which contributes to their scarcity in the atmosphere. The average molecular speed at sea level is noted to be significantly lower than escape velocity, suggesting that other factors, such as atmospheric layers and interactions, play a crucial role in maintaining the atmosphere. Overall, while some atmospheric loss occurs, it is not substantial enough to threaten the planet's atmosphere in the absence of external influences.
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Anyone have a link or direct info regarding the rate at which the Earth's atmosphere dissipates into space? I'm looking for both an estimate of the current rate as well as a model (time and mass dependencies).

Thanks.
 
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Auroral Maths

Apparently the rate of flow/energy can be calculated from the intensity of the light from the aurora australis/borealis. See below link:

http://science.nasa.gov/newhome/headlines/ast08dec98_1.htm
 
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Originally posted by Nommos Prime (Dogon)
Apparently the rate of flow/energy can be calculated from the intensity of the light from the aurora australis/borealis. See below link:
Nice link but the outflow measurements that are given on that link are correlated to A Coronal Mass Ejection (CME) event, not to the regularity of any possible outlflow of atmosphere.

I'd suspect that there is very little "Outflow of Atmosphere" under 'normal' circumstances, cause just a little, regularily lost, would deplete the planet, in no time. (unless somehow?? replaced)
 
Its like evaporation - if the kinetic energy of a molecule is high enough that its velocity is above escape velocity (and it doesn't hit another molecule on its way out), it escapes. So at a given temperature you get a certain actual kinetic energy distribution and obviously, lighter molecules will be more likely to have the velocity they need to escape. Thats why there isn't much hydrogen in the atmosphere.

And how do you calculate that? Uh...
 
Originally posted by russ_watters
Its like evaporation - if the kinetic energy of a molecule is high enough that its velocity is above escape velocity (and it doesn't hit another molecule on its way out), it escapes. So at a given temperature you get a certain actual kinetic energy distribution and obviously, lighter molecules will be more likely to have the velocity they need to escape. Thats why there isn't much hydrogen in the atmosphere. And how do you calculate that? Uh...
Nigel once mentioned (in "Astro and Cosmo") that the speed of the atmosphere (molecular interactive rate) at sea level, was in the "hundreds of feet per/sec/per molecule" that would be well in excess of escape velocity, so I suspect that there are other factors at work, like the thermosphere, reductionist factors, otherwise we shouldn't even have an atmoshere left!
(but a suspicion only!)
 
Well, I'm not copy pasting the way to calculate that but here it is calcuted for oxygen at 25 degrees celsius: 482 m/sec average speed.

http://www.rutchem.rutgers.edu/Courses_f03/Chem161/evelecture10.pdf

as the escape velocity on Earth is 11,000 m/sec we do not lose a lot. As all the impulses of the molecules (m*v) average out, Hydrogen gas would be 16 times faster or almost 9,000 m/sec and since this is only an average, many molecules are faster and so we can lose H2.
 
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