615_Physics ProblemsTechnical Physics

615_Physics ProblemsTechnical Physics - Chapter...

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Chapter 21 617 *P21.43 (a) From the Boltzmann distribution law, the number density of molecules with gravitational energy mgy is ne mgy k T B 0 . These are the molecules with height y , so this is the number per volume at height y as a function of y . (b) ny n ee e m g y k TM g y N k g y R T BA B bg 0 == = −− = −× × e e 28 9 10 9 8 11 10 8 314 293 1.279 33 0278 .. . . kg mol m s m J mol K K 2 ej e j e j af *P21.44 (a) We calculate ed y e mgdy kT mg mg e mg mg mgy k T mgy k T B B y B mgy k T BB B = zz =− F H G I K J F H G I K J = 00 0 01 Using Table B.6 in the appendix ye dy mg k T mg mgy k T B B B z F H G I K J 0 2 2 1! . Then y ye dy y kTmg mg mgy k T mgy k T B B B B B = z z 0 0 2 . (b) y MN g RT Mg B A = ⋅× 8314 10 831 10 3 3 . . J 283 K s
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