Calculate the binding energy of 71Ga using the table of atom

Calculate the binding energy of 71_Ga using the table of atomic masses. Express your answer in unified mass units but do not indicate units in your answer. Express the binding energy in MeV. Enter only a number without units. What is the binding energy per nucleon? Give your answer in MeV, but enter only a number without units. Calculate the energy required to remove one neutron from 71_Ga using information in the atomic mass table. Express you answer in MeV and include the unit.

Solution

a) mass diffect is,

     dm = 70.92u- 31 m_p - 40 m_n

          = 70.92u- 31*1.00727638u -40*1.0086649156u

      = -0.652164404u

hence, the binding energy in mass units, BE = 0.65216u

B)

the binding energy in MeV is

   BE = (0.652164404u)c^2(931.5 Mev/c^2) = 607.5 MeV

c)

The binding energy per nucleon is,

    BE = 607.5 MeV/71 = 8.556 MeV/nucleon = 8.6

D)

mass diffect is,

   dm = mass ga71 - (mass70 + m neutron )

         = 70.92u -(69.9260220+1.0086649156)= -0.0146869156 amu = -0.0146869156 amu

energy = 0.0146869156 amu*931.5 = 13.68 MeV