The most common isotope of copper 6329 mass of neutral atom

The most common isotope of copper 63/29. mass of neutral atom is 62.929601. A) determine mass defect, using it to determine total binding energy, and binding energy per nucleon. B) calculate binding energy campair to A. C) what is the percent diffrence, what do you conclude for accuracy?

Solution

Case – A:

       Mass defect can be defined as M_d = M_n + M_p

                                                  M_d =   29* M_p + 34* M_n

                                                         =    (29*1.0072467 + 34* 1.008664 - 62.929601)amu

                                                         = (63.5047303 – 62.92960) amu

                                                 M_d   = 0.5751303 amu.

  Binding Energy can be calculated by using mass defect is

                                             E= M_dC²

                                                = 0.5751303*931.5( MeV/ C²)* C²

                                             E = 535.73387445 MeV.

     Binding energy per nucleon is defined as

                                          (E/A) = (535.73387445)/63 MeV

                                                    = 8.50371 MeV.

Case – B:

                             The binding energy can be defined as

                                              B.E = (ZM_P + (A-Z) M_N - M) amu

                                                     = (29*1.007276 + 34*1.008664 – 62.929601) amu

                                                      = (63050558 – 62.929601) amu

                                                B.E = 0.575979 amu

Case – C:

                   The difference between two binding energies is

                                                                = 0.575979 – 0.5751303

                                                                = 0.0008487

                                                                 = 0.0887%