Density and pressure in Earths atmosphere are proportional: where is a constant and g is

Chapter 15, Problem 68

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Density and pressure in Earths atmosphere are proportional: where is a constant and g is the gravitational acceleration. (a) Integrate Equation 15.2 for this case to show that atmospheric pressure as a function of height h above the surface is given by where is the surface pressure. (b) At what height will the pressure have dropped to half its surface value?

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