An isotope of cobalt has 27 protons and 30 neutrons and its atomic mass is 56.93

Question

An isotope of cobalt has 27 protons and 30 neutrons and its atomic mass is 56.936291 u. What is the total binding energy? (The atomic mass of H is 1.007825 u. The mass of a neutron is 1.008665 u. ) An isotope of cobalt has 27 protons and 30 neutrons and its atomic mass is 56.936291 u. What is the total binding energy? (The atomic mass of H is 1.007825 u. The mass of a neutron is 1.008665 u. ) An isotope of cobalt has 27 protons and 30 neutrons and its atomic mass is 56.936291 u. What is the total binding energy? (The atomic mass of H is 1.007825 u. The mass of a neutron is 1.008665 u. )

Explanation / Answer

The atomic mass of Co is 56.936291 amu.

Calculate the nuclear binding energy of this

nucleus and the corresponding nuclear binding energy per nucleon

27 protons and 30 neutrons are present

Mass of proton = 1.007825

Mass of neutron = 1.008665

Total mass = 27*1.007825 + 30*1.008665 = 57.471225 amu

The mass defect:

56.936291-57.471225 = -0.534934 amu

Mass = 0.534934/(6.022*10^23) = 8.88299*10^-25 g or 8.88299*10^-28 kg

Energy released (Einstein E = mC^2)

E = m*C^2 = (8.88299*10^-28) * (3*10^8)^2 = 7.99469*10^-11 J

Nuclear binding energy = E = 7.99469*10^-11 J

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