Atmospheric physics 1: Mass of the atmosphere

The atmosphere is a layer of gas that surrounds our planet and is several hundred kilometers thick. Its main components are nitrogen, oxygen, argon, and water vapor.

What is the approximate mass $m$ of the entire Earth's atmosphere?

Details and Assumptions:

• The circumference of the Earth is about $40,000 \text{ km}.$
• Gravitational acceleration is approximately $10 \text{ m/s}^2.$
• The mean air pressure on the Earth's surface is about $1 \text{ bar } \big(\SI{1}{bar} = \SI{10^5}{Pa} \big).$
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