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188.

Problem 3.30 (R)

The nucleus consists of six protons () and six neutrons (n) held in close association by strong nuclear forces. The rest masses are

We have to calculate the energy required to separate a nucleus into its constituent protons and neutrons. This energy is called the binding energy of the nucleus. (The masses are really those of the neutral atoms, but the extra-nuclear electrons have relatively negligible binding energy and are of equal number before and after the break up of .)

Solution:             Click For PDF Version

We note that

Total mass of six atoms and six neutrons is

Therefore, energy equivalent of mass of 0.09894 amu is required for breaking up of a nucleus into six protons and six neutrons. Its energy equivalent is 92.11 MeV.