First slide

Kinetic theory of ideal gases

Question

Why moon does not have atmosphere?

Easy

A

Due to low temperature, gases have liquified
B

Due to high gravity of Earth, Earth has pulled the atmosphere of Moon
C

Due to high gravity of Sun, Sun has pulled the atmosphere of Moon
D

Speed of gas molecules is comparable to escape speed on Moon

Solution

$V_{E S C A P E} = \sqrt{\frac{2 G M}{R}} = \sqrt{\frac{2 (6.6 \times 10^{- 11}) (7.3 \times 10^{22})}{1734 \times 10^{3}}} = 2.35 k m / \sec$ which is comparable to speeds of gas molecules at prevalent conditions of temperature on Moon.

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