Question

(Include full solutions)

Silver has two stable isotopes. The nucleus, ¹⁰⁷₄₇Ag, has atomic mass 106.905095 g/mol with an abundance of 51.83% ; whereas ¹⁰⁹₄₇Ag, has atomic mass 108.904754 g/ mol with an abundance of 48.17%. Find the binding energy per nucleon for each isotope.

Answer 1

For a nucleus , binding energy per nucleon is given by,

Where Z: atomic number, N=A-Z, number of neutron, mp mass of protons, mn mass of neutron and mx mass of the nucleus and c speed of light.

If the masses are written in atomic mass units then the above formula can be written as,

So for we can write,

= 8.3248 MeV

similarly for

= 8.3230 MeV