Share
Explore BrainMass

Binding energy per nucleon

Be7 has a nuclear mass of 7.0147 amu

Be9 has a nuclear mass of 9.0100

Be10 has a nuclear mass of 10.0113

How would you determine which of the above nuclear masses has the largest binding energy per nucleon?

Solution Preview

Be7
Atomic mass= 7.0147 amu
Mass number= 7
Atomic number=no of protons= 4
No of neutrons= 3 =7-4
No of nucleons=no of protons + no of neutrons= 7
proton mass = 1.00728 amu
neutron mass = 1.00867 amu

Mass of Beryllium-7 nucleus based on the constituents = No of protons x Proton mass + No of neutrons x Neutron mass

No of protons x Proton mass= 4.02912 amu =4*1.00728
No of neutrons x Neutron mass= 3.02601 amu =3*1.00867
Total= 7.05513 amu

Actual atomic mass= 7.0147 amu
Mass defect= 0.04043 amu =7.05513-7.0147
Energy equivalent of mass defect is the binding energy
rest mass energy of an amu = ...

Solution Summary

Determines which nuclear masses has the largest binding energy per nucleon.

$2.19