Plate Theory and Extensions - Temperature Changes During the Passage of a Solute Through a Theoretical Plate in Gas Chromatography > Page 84

                   

     where      

or                                                           (71)

Now equation (71) is a standard integral, the solution of which can be seen by differentiation to be,

                                 

Now,                      

                             (72)

From the elution curve equation,  

Substituting for () in equation (72),

            (73)

Now, from Stirling's theorem,