(c) Find the mass defect and the resulting nuclear binding energy for the formation ofHe-4 as follows:2H + n ----→ HeThe relevant mass values are: H = 1.00783 amu n = 1.00866 amu He = 4.00260 amu

Find the mass defect of the Helium−4 nucleus.Given mass of the helium nucleus : MHe=4.0015084 uMass…

Answered: (c) Find the mass defect and the…

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter31: Radioactivity And Nuclear Physics

Section: Chapter Questions

Problem 23CQ: To obtain the most precise value of BE from the equation BE=[ZM(1H)+Nmn]c2m(AX)c2, we should take...

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(a) How many 239Pu nuclei must fission to produce a 20.0kT yield, assuming 200 MeV per fission? (b) What is the mass of this much 239Pu?
Neutrons from a source (perhaps the one discussed in the preceding problem) bombard natural molybdenum, which is 24 percent 98Mo. What is the energy output of the reaction 98Mo+n99Mo+ ? The mass of 98MB is given in Appendix A: Atomic Masses, and that of 99Mo is 98.907711 u.
(a) Calculate the radius of 58Ni, one of the most tightly bound stable nuclei. (b) What is the ratio of the radius of 58Ni to that at 258Ha, one of the largest nuclei ever made? Note that the radius of the largest nucleus is still much smaller than ?le size of an atom.
(a) Find the total energy released in MeV in each carbon cycle (elaborated in the above problem) including the annihilation energy. (b) How does this compare with the protonproton cycle output?
In a 3109 yearold rock that originally contained some 238U, which has a halflife of 4.5109 years, we expect to find some 238U remaining in it. Why are 226Ra, 222Rn, and 210Po also found in such a rock, even though they have much shorter halflives (1600 years, 3.8 days, and 133 days, respectively)?
(a) Calculate the energy released in the neutroninduced fission (similar to the spontaneous fission in Example 32.3) n+238U96Sr+140Xe+3n, given m(96Sr)=95.921750u and m(140Xe)=139.92164. (b) This result is about 6 MeV greater than the result for spontaneous fission. Why? (c) Con?rm that the total number at nucleons and total charge are conserved in this reaction.
Data from the appendices and the periodic table may be needed for these problems. Show that the activity of the 14C in 1.00 g of 12C found in living tissue is 0.250 Bq.
(a) Calculate the energy released in the neutron- Induced fission reaction n+235U92Kr+142Ba+2n , given m(92Kr) = 91.926269 u and m(142Ba)= 141.916361 u. (b) Confirm that the total number of nucleons and total charge are conserved in this reaction.
(a) Calculate the number of grams of deuterium in an 80.000L swimming pool, given deuterium is 0.0150% of natural hydrogen. (b) Find the energy released in joules if this deuterium is fused via the reaction 2H+2H3He+n. (c) Could the neutrons be used to create more energy? (d) Discuss the amount of this type of energy in a swimming pool as compared to that in, say, a gallon of gasoline, also taking into consideration that water is far more abundant.
Data from the appendices and the periodic table may be needed for these problems. A 60Co source is labeled 4.00 mCi, but its present activity is found to be 1.85107Bq. (a) What is the present activity in mCi? (b) How long ago did it actually have a 4.00—mCi activity?
Tritium is naturally rare, but can be produced by the reaction n+2H3H+. How much energy in MeV is released in this neutron capture?
No stable nuclides exist that have Z greater than ___. (10.3)

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(c) Find the mass defect and the resulting nuclear binding energy for the formation of He-4 as follows: 2H + n ----→ He The relevant mass values are: H = 1.00783 amu n = 1.00866 amu He = 4.00260 amu