Plate Theory and Extensions - Vacancy Chromatography > Page 73

Let (p) plate volumes of pure mobile phase be injected onto a column that has been equilibrated with mobile phase containing a concentration (Xo) of a solute, then on the injection:

a. For a charge where p=1,  the change in concentration of solute on the first plate will be

                                                         Xo(e-11)

b. For a charge where p=2, the change in concentration of charge on the first plate will be

                                                          Xo(e-21) 

c. For a charge where p=p, the change in concentration of charge on the first plate will be,

                                                           Xo(e-p1)

After the addition of each plate volume of charge, a new concentration of solute exists in plate (1), and its contents will be eluted through the column in the normal manner.

Consider a total of (p) plate volumes of pure mobile phase are injected onto the column followed by a further (v) plate volumes of equilibrated mobile phase. After the injection of (r) plate volumes of pure mobile phase, the new concentration of solute in plate 1 will be eluted by a further (p-r) plate volumes of sample followed by (v) plate volumes of equilibrated mobile phase. Therefore, the concentration of solute leaving the (n)th plate due to the (r)th volume of pure mobile phase will be