Capillary electrophoresis is well known for its ability to have a large number of theoretical plates(N) created in a tube. Several anions and cations can be analyzed using CE. Suppose the diffusion constant for a divalent cations as 4.5x10^-7 cm^2/s while the electrophoretic mobility was 3.44 cm^2/kV min. The detector was located 25.0cm from he injection point in a 30.0cm tube. The analysis was conducted at 10.0kV. What is the maximum number of theoretical plates that could be obtained in this analysis? (Assume that longitudinal diffusion is the only band-broadening factor)