It is necessary to calculate the energy required to separate the Ne20 nucleus into two α-particles and the C12

It is necessary to calculate the energy required to separate the Ne20 nucleus into two α-particles and the C12 nucleus, if it is known that the binding energies per nucleon in the Ne20, He4 and C12 nuclei are 8.03, 7.07 and 7.68 MeV, respectively.

To solve this problem, you must use the following formula:

E = E (Ne20) * 20 – 2 * E (He4) * 4 – E (C12) * 12,

where 20, 4, 12 is the number of nucleons formed;

2 – the number of α-particles (by condition).

Substituting the values, we get:

E = (8.03 * 20) – 2 * (7.07 * 4) – (7.68 * 12) = 11.88 MeV

Answer: 11.88 MeV