Final Exam Solution

ln ln 10 points 5

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Unformatted text preview: = ∗ = !"#$%&$'# (5 points each) b) The rate constant for a bimolecular reaction, which has units of cm3 s-1 (so you would multiply by two densities to get a rate), is predicted by simple collision dynamics to be !!! !" ℳ = 2 ! ! Use this equation to define the frequency factor A in the Arrhenius equation in terms of measureable variables. Here, d is the molecular diameter and ℳ is the molar mass. = 2 ! ! c) ℳ (10 points) Use the substitutions E = ½ mv2 and kB = R/NA to rewrite the Boltzmann distribution, provided below in a suggestive form that shows its connection to the Arrhenius equation. Remember to substitute for dv as well, where dE = mv dv. Also substitute Emol for E*NA to account for the fact that the units of Ea in the Arrhenius equation are J/mol*K as it is referring to the energy of a mole of particles. = 2! !!! ! /!!! ! !" !" ! = !" ! !" ! = ! ! = ! d) !"# = !!!! ! !! !!"#$! ! !! !!"#$ ! !!"#!!"# !!! ! /!!...
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This test prep was uploaded on 04/03/2014 for the course CHEM 1b taught by Professor Heath,rees during the Spring '13 term at Caltech.

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