SCI 270: On Nuclear Technology Practice Problems

1. What are the number-of-neutrons to number-of-protons ratio for the stable nuclides:

1H_1_ 14N___ 35Cl___ 56Fe___ 80Br___ 100Rh___ 150Sm___ 200Hg___ 209Bi___

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The purpose is to work out the ratios yourself so that you realize how the numbers of protons and the numbers of neutrons in stable nuclides vary. This is an important factor contributing to the stability of nuclides.

2. Magic numbers contribute to the stability of nuclides. From a source other than SCI270 lecture notes, find the stable isotopes for the following:

4He2 16O8 40Ca20 58Ni28 Source: ___________________________________ 6Li3 7Li3 ___________________________________ 14N7 The only one ___________________________________ 45Sc21 The only one 54Fe26 56Fe, 57Fe, 58Fe 59Co27 The only one ___________________________________ 63Cu29 65Cu29 ___________________________________ 121Sb51 123Sb51 ___________________________________ 209Bi83 Number of neutron = _____The only one Double magic number nuclides: ___________________________
For your information, 209Bi (Z = 83) is stabe, whereas 209Pb (Z = 82) is a beta emitter.

3. Provide the (missing) masses in amu, calculate binding energies (BE) in MeV, average binding energies in MeV, and the mass excess in MeV of the following nuclides. Masses of hydrogen and neutron are 1.007825 and 1.008665 amu respectively.
 2D 4He 14C 14N 16O 56Fe 59Co 238U Nuclide Mass _______ 4.00260 _____ 14.003074 15.994915 55.9349 58.9332 238.0508 Bindingenergy _______ _____ _____ _____ _____ _____ _____ _____ AverageBE _______ _____ _____ _____ _____ _____ _____ _____ Massexcess _______ _____ _____ _____ _____ _____ _____ _____

4. The disintegration energies for isobars with mass number 133 are given below. Make a plot of energy content as a function of Z for these isobars from the disintegration energy (in MeV). Te (Z=52), 2.4; I (Z=53), 1.8; Xe (Z=54), 0.43; Cs (Z=55), stable; Ba (Z=56), 0.489; La (Z=57), 1.2l Ce(Z=58), 1.8.

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Answers to Practice Problems 7 are available, but do your part first. Your skills earn you a rewarding career and they are yours forever.