determine the energy in joules of a cobalt atom

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wranyvarn

Science

Description

determine the binding energy in joules of a cobalt atom with 27 protons, 32 neutrons and a mass of 97.958205x10^-27 kg 

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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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