He isotope 62 (over28ni has the largest binding energy per nucleon of any isotope. calculate this value from the atomic mass of nickel-62 (61.928345 amu.

The atomic mass of the isotope Ni (62 over 28) = 61.928345 amu.

Mass of the electrons: 28 · 5.4584 · 10^ (-4) amu = 0.0152838 amu (g/mol)

Mass of the nuclei:

61.928345 amu - 0.0152838 amu = 61.913062 amu (g/mol)

The mass difference between a nucleus and its constituent nucleons is called the mass defect.

For Ni (62 over 28) : Mass of the protons: 28 · 1.00728 amu = 28.20384 amu

Mass of the neutrons: 34 · 1.00866 amu = 34.299444 amu

In total : 62.49828 amu

The mass defect = 62.49828 - 61.913062 = 0.585218 amu

Nucleus binding energy:

E = Δm · c² (the Einstein relationship)

E = 0.585218 · (2.9979 · 10^8 m/s) ² · 1 / (6.022 · 10^23) · 1 kg / 1000 g =

= 0.585218 · 8.9874044 · 10 ^16 : (6.022 · 10^23) · 0.001 =

= (5.2595908 : 6.022) · 0.001 · 10^ (-7) =

= 0.0008733 · 10^ (-7) J = 8.733 · 10^ (-11) J

The nucleus binding energy per nucleon:

8.733 · 10^ (-11) J : 62 = 0.14085 · 10 ^ (-11) =

= 1.4085 · 10^ (-12) J per nucleon.