Ch01-B-kinetic model

Ch01-B-kinetic model - distributed such that the kinetic...

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Chapter 1: Kinetic Model of Gases CHM 341 Elementary Physical Chemistry Fall 2009 Ranko Richert
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() C) 0 at air (for m 8000 s m 9.81 m kg 1.29 s m kg 10 1.019 : with : to leads and and 2 3 2 1 5 0 0 0 0 0 0 0 0 0 0 0 0 0 ° = = × = = = = = = = = = = = T H g p H e p e p h p dh p p g dh g dp p p V n V n V m nRT pV T T H h h p g ρ m 8000 0 0 = = g p H barometric formula:
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Kinetic model of gases 1. A gas consists of molecules in ceaseless random motion. 2. The size of the molecules is negligible in the sense that their diameters are much smaller than the average distance travelled between collisions. 3. The molecules do not interact, except during collisions. kT T N R N E RT mv E mv RT nRT pV mv n pV V mv n V dt Av n dt v A m p V dt Av n V As n N dt v A m N dt v v A m N dt dv A m N A ma N A F N A F p A A kin kin x x x x hit hit x x hit x hit x hit x hit 2 3 2 3 2 3 2 1 3 3 3 6 2 6 6 1 2 2 2 2 2 = = = = = = = = = = = = = = = = = s r
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Boltzmann’s energy distribution T k E B e P y probabilit () ( ) ( ) () E P E P E P E E P P P P E E E exp 2 1 2 1 2 1 2 1 × = + × = + = E 1 E 2 Energy E 1 E 2 E 1 E 2 () 1 1 1 E P P E E = = () 2 2 2 E P P E E = =
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Maxwell distribution of speeds The velocities are not all the same. The speeds are
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Unformatted text preview: distributed such that the kinetic energies obey the energy distribution of Boltzmann. ( ) ( ) ( ) ( ) ( ) ( ) ( ) dv e v RT M dv v F f Mvdv dE Mv E dE e E RT N dE E N dE e E e E N dE E N e dE e e N N E h E Vm E D dE N E D dE N E D N dE E N RT Mv RT E RT E RT E RT E RT E RT E E E E 2 2 2 3 2 2 1 2 3 2 1 2 1 2 1 3 2 1 2 3 2 2 4 , 2 1 1 2 2 4 = = = = = = = = = = =...
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This note was uploaded on 10/10/2009 for the course CHM 341 taught by Professor Richert during the Spring '08 term at ASU.

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Ch01-B-kinetic model - distributed such that the kinetic...

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