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CE 561 Homework 4:
(assigned 09/21/09, due
09/29/09
)
(1)
Use collision theory to estimate the preexponential factor for the reaction OH + CH
3
Cl
→
H
2
O + CH
2
Cl at 298 K.
Use a hardsphere collision diameter of 4.2 Å for CH
4
and 3.2 Å
for OH. Report your result in cm
3
mol
1
s
1
and compare your result to the experimental
value of 2.4
×
10
12
cm
3
mol
1
s
1
.
If we were to assign a ‘steric factor’ or ‘reaction
probability’ for this reaction, what would it be?
(2)
The LennardJones diameter and well depth for argon (from viscosity data) are 3.418 Å and
124.0 K, respectively (welldepths are usually given in temperature units, the
corresponding energy in Joules is given by multiplying by Boltzmann's constant in J/K).
At low enough temperatures, two argon atoms could form a weaklybound diatomic
'molecule' (held together by only dispersion forces).
(a) If the two argon atoms obey the LennardJones potential, what will be the equilibrium
'bond length' in the argon dimer?
(b) What will be the fundamental vibrational frequency of the dimer?
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 Fall '09

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