(a) (b) Define the mass defect and the nuclear binding energy of a nuclide X in...

 

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(a) (b) Define the mass defect and the nuclear binding energy of a nuclide X in terms of its atomic mass. You are given the binding energy per nucleon (b = B/A) of three isobars: b(Ni) = 8.7649 MeV, b(Cu) = 8.7155 MeV and b(Zn) = 8.6102 MeV. Do you expect Cu to be - or B+ radioactive? Support your answer with quantitative arguments based on mass/energy balance. Useful masses: m = 938.2723 MeV/c, m = 939.5656 MeV/c and m = 0.511 MeV/c. Evaluate the Coulomb barrier Ec (in MeV) for the deuterium-tritium fusion reaction: d+t 2He+X What is the missing particle X? Estimate the minimal temperature 7 required to provide sufficient average kinetic energies k&T of the fusing nuclides to overcome the barrier Eg. Why is this reaction significant for fusion power? Hint: You can use the hard charged spheres approximation and the empirical formula for the nuclear radius as a function of the mass number with R = 1.2 fm. Other constants: 1/4 = 9.0 x 10 J-m/C, ka = 8.62 x 10- eV/K. (a) (b) Define the mass defect and the nuclear binding energy of a nuclide X in terms of its atomic mass. You are given the binding energy per nucleon (b = B/A) of three isobars: b(Ni) = 8.7649 MeV, b(Cu) = 8.7155 MeV and b(Zn) = 8.6102 MeV. Do you expect Cu to be - or B+ radioactive? Support your answer with quantitative arguments based on mass/energy balance. Useful masses: m = 938.2723 MeV/c, m = 939.5656 MeV/c and m = 0.511 MeV/c. Evaluate the Coulomb barrier Ec (in MeV) for the deuterium-tritium fusion reaction: d+t 2He+X What is the missing particle X? Estimate the minimal temperature 7 required to provide sufficient average kinetic energies k&T of the fusing nuclides to overcome the barrier Eg. Why is this reaction significant for fusion power? Hint: You can use the hard charged spheres approximation and the empirical formula for the nuclear radius as a function of the mass number with R = 1.2 fm. Other constants: 1/4 = 9.0 x 10 J-m/C, ka = 8.62 x 10- eV/K.

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For part a the mass defect of a nuclide is the difference between the sum of the masses of its protons neutrons and electrons and its actual atomic mass The nuclear binding energy is the energy requir... View the full answer