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The gravitational attraction of the Earth pulls the atoms of the atmosphere towards the center of the Earth. The Law of Gravitation shows that the closer the atoms of the atmospheric gases are to Earth the more strongly thy are pulled "down". The atmospheric gases are also subject to other physical laws which make them want to diffuse into any low pressure area (like space).

As consequence the closer the gases are to Earth the more the balance between diffusion and gravity shifts towards the influence of gravity. As an outcome the concentration of gases closer to the Earth are higher than those further away (higher up). This concentration is called pressure. So the concentration gradient means that the atmospheric presure is less the higher you go.

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