The mass of 126c is exactly 12 u. what is the total binding energy of this nucleus?

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02-01-2018
Chemistry

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The mass of 126c is exactly 12 u. what is the total binding energy of this nucleus?

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kayceeports kayceeports · Answer 1 · 2018-01-15T16:51:09+01:00

12 here represents the mass number, which is the sum of neutrons and protons. Since carbon has 6 protons, then it means that there are: 12 - 6 = 6 neutrons. The formula for binding energy is:

E = Δmc²

Let's compute the apparent mass of 126C.
mass of each proton = 1.00727647 amu
mass of each electron = 0.00054 amu
mass of neutron = 1.0086654 amu
m = 6(1.00727647) + 6(1.0086654) + 6(0.00054) = 12.099
So,
Δm = 12.099 - 12 = 0.099

Therefore,
E = (0.099 amu)(3×10⁸ m/s) = 29.7 MJ