Worksheet: Nuclear Binding Energy

In this worksheet, we will practice using the mass defect for a nuclide to calculate the nuclear binding energy per nucleon via the equation E = mc².

Q1:

An atom of 5 6 2 6 F e has a mass of 55.9349 u, including electrons. Calculate, to 3 significant figures, the binding energy per nucleon for this nuclide.

Q2:

An atom of 1 9 9 F has a mass of 18.9984 u, including electrons. Calculate the binding energy per nucleon for this nuclide.

Q3:

An atom of 4 2 H e has a mass of 4.0026 u, including electrons. Calculate the total binding energy for this nuclide.

Q4:

The total mass of one atom of 6 0 2 8 N i , including electrons, is 59.93079 u. Calculate to 3 significant figures the nuclear binding energy per nucleon in MeV.

Q5:

The total mass of one atom of 1 9 9 F , including electrons, is 18.99840 u. Calculate to 3 significant figures the nuclear binding energy per nucleon in MeV.

Q6:

An atom of 8 B (mass = 8.0246 u) decays into an atom of 8 B e (mass = 8.0053 u) by electron capture. Calculate, to 3 significant figures, the energy released by this reaction.

Q7:

Helium-4 can be produced by nuclear fusion of lithium-6 with deuterium: The atomic masses of lithium-6, deuterium and helium-4 are 6.01512 u, 2.01410 u and 4.00260 u, respectively. Calculate to 3 significant figures the energy released by this fusion reaction.

Q8:

The total mass of one atom of 3 1 H , including electrons, is 3.016049 u. Calculate to 3 significant figures the nuclear binding energy per nucleon for this atom.

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