The mass of 126c is exactly 12 u. what is the total binding energy of this nucleus?
1 answer:
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 = <span>1.00727647 amu
mass of each electron = </span>0.00054<span> amu
mass of neutron = </span><span>1.0086654 amu
m = 6(</span>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) = <em>29.7 MJ</em>
E = Δmc²
Let's compute the apparent mass of 126C.
mass of each proton = <span>1.00727647 amu
mass of each electron = </span>0.00054<span> amu
mass of neutron = </span><span>1.0086654 amu
m = 6(</span>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) = <em>29.7 MJ</em>
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