Description
determine the binding energy in joules of a cobalt atom with 27 protons, 32 neutrons and a mass of 97.958205x10^-27 kg
Explanation & Answer
Nuclei are made up of protons and neutron, but the mass of a nucleus is always less than the sum of the individual masses of the protons and neutrons which constitute it. The difference is a measure of the nuclear binding energy which holds the nucleus together. This binding energy can be calculated from the Einstein relationship:
Nuclear binding energy = Δmc2
number of protons x 1.007825 x 931.5 MeV = X
number of neutrons x 1.008665 x 931.5 MeV = Y
Add these energies = X + Y
59.933820 x 931.5 MeV = Z
Subtract
(X+Y) -Z = Nuclear binding energy
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