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Illustration Pressure-Height Graph of a Fluid (Air)

Pressure-Height Graph of a Fluid (Air)
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Pressure \( \mathit{\Pi}(h) \) as a function of height \(h\) decreases exponentially with height. At the bottom (e.g. at sea level) the pressure \( \mathit{\Pi}_0 = \mathit{\Pi}(0)\) is the highest. The exponential curve of the pressure is described by the barometric formula. How fast the pressure drops with altitude depends on the scale height \(H\).