Calculate the average binding energy per nucleon of 24 12Mg. Answer in units of MeV/nucleon.

The average binding energy per nucleon of   is 8.00 MeV/nucleon

Explanation:

Here we have the molar mass of is 23.985042 amu

The mass of a proton = 1.007276 amu

The mass of a neutron = 1.008665 amu

From the notation, 1 Mg = has 12 protons and 12 neutrons

Therefore, we find the binding energy as follows;

= 12 × (1.007276) amu + 12 × (1.008665) amu - 23.985042 amu

= 24.191292 amu - 23.985042 amu = 0.20625 amu

1 amu = 931 MeV

Therefore, 0.20625 amu = 0.20625 amu × 931 MeV = 192.01875 MeV

The average binding energy per nucleon in   which has 24 nucleons, is thus;

= 192.01875 MeV ÷ 24 = 8.00078 MeV/nucleon ≈ 8.00 MeV/nucleon.