Collision Theory

Derivation of Energy Ratio Between  and

                                                

                                                 

where f(,T) de is the fraction of molecules with kinetic energies between and (+d). We could further multiply and divide by kBT

                                                   

Recalling

                                                    

                                                          

                     

By letting , we could have put the distribution in dimensionless form

                                                           

f(X,T) dX is the fraction of molecules that have energy ratios between  and

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