Question

Calculate the binding energy for each nucleon of Silver-109. The units of the result must be in MeV / nucleon.
The Silver-109 atomic mass is 101,004.78 MeV / C ^ 2

Answer 1

Atomic number of silver, Z = 47

Mass number of silver, A = 109

Number of protons in silver, Z = 47

Mass of proton, mp = 1.007276 u

Number of neutrons, N = A – Z = 109 – 47 = 62

Mass of neutron, mn = 1.008665u

Given:

Atomic mass of silver, M= 101004.78 MeV/c2 = 101004.78/931 u = 108.490633 u

Mass defect, dM = (Zmp + Nmn) -M

                                  = {(47 x 1.007276) + (62 x 1.008665)} - 108.904756

                                dM = 0.974446u

binding energy per nucleon, dE = dM x 931/A in MeV

                                dE = 0.974446 x 931/109 = 8.32 MeV

binding energy per nucleon of Silver-109 is dE = 8.32 MeV