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The barometric formula, relating the pressure p(z) of an isothermal, ideal gas of molecular mass m at some height z to its pressure p(0) at height z=0, is discussed. After a brief historical review, several derivations are given. Generalizations of the barometric formula for a nonuniform gravitational field and for a vertical temperature gradient are also presented.
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Berberan‐Santos et al. (1997) studied this question.
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