Assume the Earths atmosphere has a uniform temperature of

Chapter 21, Problem 41

(choose chapter or problem)

Assume the Earths atmosphere has a uniform temperature of 20.08C and uniform composition, with an effective molar mass of 28.9 g/mol. (a) Show that the number density of molecules depends on height y above sea level according to nV 1y2 5 n0e 2m0 g y/k BT where n0 is the number density at sea level (where y 5 0). This result is called the law of atmospheres. (b) Commercial jetliners typically cruise at an altitude of 11.0 km. Find the ratio of the atmospheric density there to the density at sea level.

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