College Physics
OER 2016 Edition
ISBN: 9781947172173
Author: OpenStax
Publisher: OpenStax College
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Textbook Question
Chapter 32, Problem 38PE
Verify that the total number of nucleons, total charge, and electron family number are conserved for each of the fusion reactions in the carbon cycle given in the above problem. (List the value of each of the conserved quantifies before and after each of the reactions.)
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Verify that the total number of nucleons, total charge, andelectron family number are conserved for each of the fusionreactions in the carbon cycle given in the above problem. (Listthe value of each of the conserved quantities before and aftereach of the reactions.)
Consider two nuclei A i+1 X i and A i−1Yi+2, where i is a positive integer number. Accordingto the semi-empirical mass formula for the binding energy, which one has larger bindingenergy? Justify your answer.
For each of the following nuclei, determine the binding energy per nucleon (in MeV). (For all masses, keep six places beyond the decimal point when performing your
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(a) 2H
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Chapter 32 Solutions
College Physics
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- (a) Calculate the energy released in the neutron- induced fission n+238U96Sr+140Xe+3n , given m(96Sr)=95.921750uand m(140Xe)=139.92164 . This result is about 6 MeV greater than the result for spontaneous fission. Why? Confirm that the total number of nucleons and total charge are conserved in this reaction.arrow_forward(a) Calculate the energy released in the neutroninduced fission reaction n+239Pu96Sr+140Ba+4n, given m(96Sr)=95.921750u and m(140Ba)=139.910581u. (b) Confirm that the total number of nucleons and total charge are conserved in this reaction.arrow_forward(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.arrow_forward
- (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?arrow_forward(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.arrow_forwardConfirm that charge, electron family number, and the total number of nucleons are all conserved by the rule for electron capture given in the equation ZAXN+eZ1AYN+1+ve. To do this, identify the values at each before and after the capture.arrow_forward
- (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.arrow_forwardNeutrons 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.arrow_forwardCheck Your Understanding If the binding energy per nucleon is large, does this make it harder easier to strip off a nucleon from a nucleus?arrow_forward
- Assume onefourth of the yield of a typical 320kT strategic bomb comes from fission reactions averaging 200 MeV and the remainder from fusion reactions averaging 20 MeV. (a) Calculate the number of fissions and the approximate mass of uranium and plutonium fissioned, taking the average atomic mass to be 238. (b) Find the number of fusions and calculate the approximate mass of fusion fuel, assuming an average total atomic mass of the two nuclei in each reaction to be 5. (c) Considering the masses found, does it seem reasonable that some missiles could carry 10 warheads? Discuss, noting that the nuclear fuel is only a part of the mass of a warhead.arrow_forwardDon't Use Chat GPT Willarrow_forwardHomogeneous nucleation occurs in ice at T= –40°C, if the latent heat of fusion is –3.1 x 108 J/m3 and the surface free energy is 25 x 10-3 J/m2;a) What is the critical radius r* and the activation free energy ΔG*?b) if the number of nuclei that reached critical size is 106 nuclei/m3 at this temperature, calculate the number of molecules per m3 in water (Co).arrow_forward
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