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Density and pressure in Earth’s atmosphere are proportional: ρ = p/h0g, where h0 = 8.2 km is a constant called the scale height 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 p = p0e−h/h0, where p0 is the surface pressure. (b) At what height will the pressure have dropped to half its surface value?
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