CE 561 Homework 4: (assigned 09/21/09, due 09/29/09) (1)Use collision theory to estimate the pre-exponential factor for the reaction OH + CH3Cl →H2O + CH2Cl at 298 K. Use a hard-sphere collision diameter of 4.2 Å for CH4and 3.2 Å for OH. Report your result in cm3mol-1s-1and compare your result to the experimental value of 2.4×1012cm3mol-1s-1. If we were to assign a ‘steric factor’ or ‘reaction probability’ for this reaction, what would it be? (2)The Lennard-Jones diameter and well depth for argon (from viscosity data) are 3.418 Å and 124.0 K, respectively (well-depths 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 weakly-bound diatomic 'molecule' (held together by only dispersion forces). (a) If the two argon atoms obey the Lennard-Jones 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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