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               Clinical Pharmacy-Pharm D        Level Three        2  Semester       2024/2025      Pharmaceutical Technology (PT 607)


                               Microscopical determination of particle size










               Where
                                      d mean  = mean particle diameter
                                        n           = number of particle in each size range

                                        d          = mean size range
               Problem 1
               The following data were obtained from particle size analysis for a sample of

               powder by use of the microscope, calculate the mean particle diameter.
                                                                Number of particles in
                               Size range in micron
                                                                   each size range(n)
                                        0.5-1.0                              2

                                        1.0-1.5                             10
                                        1.5-2.0                             22

                                        2.0-2.5                             54


                                        2.5-3.0                             17

                                        3.0-3.5                              8
                                        3.5-4.0                              5
               Solution


                                            Mean of size        Number of
                        Size range in       range (d) in  particles in each               nd
                           micron
                                               micron          size range(n)
                            0.5-1.0              0.75                 2                   1.5

                            1.0-1.5              1.25                10                  12.5
                            1.5-2.0              1.75                22                  38.5

                            2.0-2.5              2.25                54                 121.5


                            2.5-3.0              2.75                17                 46.75

                            3.0-3.5              3.25                 8                   26
                            3.5-4.0              3.75                 5                 18.75

                                                                  Ʃn= 118            Ʃnd= 265.5
               d mean = 265.5 / 118 = 2.25 µm.


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