The mean thermal velocity of molecules of all the gases present in the Earth’s atmosphere is less than the Earth’s escape velocity (11.2 km/sec). Therefore, gases cannot escape from the Earth.

Moon being small in size and mass, gravity is also not so strong on the Moon. What it means actually is that, the value of the escape velocity on the moon is only 2.4 km/sec.
The molecules in all the gases, the mean velocity is more than 2.4 km/sec. Therefore, gases do not stay on the moon and escape from the atmosphere.
As a result, there is no atmosphere on the moon.











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