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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