Question

Calculate (in MeV) the binding energy per nucleon for 14N.

Calculate (in MeV) the binding energy per nucleon for 56Fe.

Calculate (in MeV) the binding energy per nucleon for 207Pb.

Answer 1

In Nitrigen atom

number of proton = 7

number neutron = 7

and N has 14 u mass.

Binding energy =7 mass of proton + 7 mass of neutron - 14

                     =71.007276 + 71.008665 - 14

                    =0.111587 u 931.949 MeV/c²

                    =103.99 MeV   

Binding energy per nucleon =(Binding Energy)/(total number of nucleon)

                                       =103.99/14

                                        =7.428 MeV per nucleon (ANS)

For 56Fe

number of proton =26

number of neutron =30

              Binding Energy =(261.007276 + 301.008665 - 56)931.949 MeV/c²

                                               =418.56 MeV

               Binding Energy per nucleon= 418.56/56    ( total number of nucleon =56)

                                                        =7.474 MeV (ANS)

For 207Pb

number of proton =82

number of neutron=125

We can directly calculate Binding energy per nucleon = (821.007276 +1251.008665 - 207) 931.949 / 207

                                                                             =7.562 MeV per nucleon (ANS)