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At what temperature will the hydrogen molecules escape from the earth's surface?

bhat azra
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Consider the equations $v_{rms} = \sqrt {\frac {3k_bT} {m}}$ where $k_B$ is Boltzmann's constant and $m$ is the mass of a molecule of $H_2$ and $v_{esc} = \sqrt {\frac {2GM} {r}}$ where $G$ is the gravitational constant and $M$ and $r$ are the mass and radius of the Earth. Equate the two equations to solve for velocity.

Dapianoman
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