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14 January, 19:31

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

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  1. 14 January, 19:32
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    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
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