Careful measurements of the mass of a carbon-12 nucleus yield a value of 12.0000u. Compute the binding energy in MeV and the binding energy per nucleon for this nuclide.
Added by Crystal G.
Step 1
First, we need to find the mass defect (Δm) of the carbon-12 nucleus. The mass defect is the difference between the mass of the individual nucleons (protons and neutrons) and the mass of the nucleus. Carbon-12 has 6 protons and 6 neutrons. The mass of a proton is Show more…
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Recommended Videos
Calculate the binding energy in MeV per nucleon in the isotope $^{12}$ C. Note that the mass of this isotope is exactly $12 \mathrm{u},$ and the masses of the proton and neutron are 1.007276 u and 1.008665 u, respectively.
Calculate the binding energy per nucleon of carbon-12.
Calculate the binding energy of carbon-12 $\left({ }^{12} \mathrm{C}\right)$ in $\mathrm{MeV}$ to four figures. The mass of the carbon atom is $12.000000$ u. [Hint: $Z=6$; study Eq. (46.2). Remember that atomic mass includes the mass of the orbiting electrons.]
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