Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Chapter 41, Problem 38P
To determine
The proof that the total energy released when a nucleus decays by
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Chapter 41 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 41.2 - Prob. 1AECh. 41.2 - Prob. 1BECh. 41.4 - Prob. 1CECh. 41.8 - Prob. 1DECh. 41.8 - Prob. 1EECh. 41.8 - Prob. 1FECh. 41.8 - Prob. 1GECh. 41 - Prob. 1QCh. 41 - Prob. 2QCh. 41 - Prob. 3Q
Ch. 41 - Prob. 4QCh. 41 - Prob. 5QCh. 41 - How do we know there is such a thing as the strong...Ch. 41 - Prob. 7QCh. 41 - What is the experimental evidence in favor of...Ch. 41 - Prob. 9QCh. 41 - Prob. 10QCh. 41 - Prob. 11QCh. 41 - Prob. 12QCh. 41 - Prob. 13QCh. 41 - Prob. 14QCh. 41 - Prob. 15QCh. 41 - When a nucleus undergoes either or + decay, what...Ch. 41 - Prob. 17QCh. 41 - Prob. 18QCh. 41 - Prob. 19QCh. 41 - Prob. 20QCh. 41 - An isotope has a half-life of one month. After two...Ch. 41 - Prob. 22QCh. 41 - Prob. 23QCh. 41 - Prob. 24QCh. 41 - Prob. 25QCh. 41 - Prob. 26QCh. 41 - Prob. 27QCh. 41 - Prob. 28QCh. 41 - Prob. 1PCh. 41 - Prob. 2PCh. 41 - Prob. 3PCh. 41 - Prob. 4PCh. 41 - Prob. 5PCh. 41 - Prob. 6PCh. 41 - Prob. 7PCh. 41 - Prob. 8PCh. 41 - Prob. 9PCh. 41 - Prob. 10PCh. 41 - Prob. 11PCh. 41 - Prob. 12PCh. 41 - Prob. 13PCh. 41 - Prob. 14PCh. 41 - Prob. 15PCh. 41 - Prob. 16PCh. 41 - Prob. 17PCh. 41 - Prob. 18PCh. 41 - Prob. 19PCh. 41 - Prob. 20PCh. 41 - Prob. 21PCh. 41 - Prob. 22PCh. 41 - Prob. 23PCh. 41 - Prob. 24PCh. 41 - Prob. 25PCh. 41 - Prob. 26PCh. 41 - Prob. 27PCh. 41 - Prob. 28PCh. 41 - Prob. 29PCh. 41 - Prob. 30PCh. 41 - Prob. 31PCh. 41 - Prob. 32PCh. 41 - Prob. 33PCh. 41 - Prob. 34PCh. 41 - Prob. 35PCh. 41 - Prob. 36PCh. 41 - Prob. 37PCh. 41 - Prob. 38PCh. 41 - Prob. 39PCh. 41 - Prob. 40PCh. 41 - Prob. 41PCh. 41 - Prob. 42PCh. 41 - Prob. 43PCh. 41 - Prob. 44PCh. 41 - Prob. 45PCh. 41 - Prob. 46PCh. 41 - Prob. 47PCh. 41 - Prob. 48PCh. 41 - Prob. 49PCh. 41 - Prob. 50PCh. 41 - Prob. 51PCh. 41 - Prob. 52PCh. 41 - Prob. 53PCh. 41 - Prob. 54PCh. 41 - Prob. 55PCh. 41 - Prob. 56PCh. 41 - (II) The activity of a radioactive source...Ch. 41 - Prob. 58PCh. 41 - Prob. 59PCh. 41 - Prob. 60PCh. 41 - Prob. 61PCh. 41 - Prob. 62GPCh. 41 - Prob. 63GPCh. 41 - Prob. 64GPCh. 41 - Prob. 65GPCh. 41 - Prob. 66GPCh. 41 - Prob. 67GPCh. 41 - Prob. 68GPCh. 41 - Prob. 69GPCh. 41 - Prob. 70GPCh. 41 - Prob. 71GPCh. 41 - Prob. 72GPCh. 41 - Prob. 73GPCh. 41 - Prob. 74GPCh. 41 - Prob. 75GPCh. 41 - Prob. 76GPCh. 41 - Prob. 77GPCh. 41 - Prob. 78GPCh. 41 - Prob. 79GPCh. 41 - Prob. 80GPCh. 41 - (a) A 72-gram sample of natural carbon contains...Ch. 41 - Prob. 82GPCh. 41 - Prob. 83GPCh. 41 - Prob. 84GPCh. 41 - Almost all of naturally occurring uranium is...Ch. 41 - Prob. 86GPCh. 41 - Prob. 87GPCh. 41 - Prob. 88GPCh. 41 - Prob. 89GPCh. 41 - Prob. 90GP
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- (a) Write the decay equation for the decay of 235U. (b) What energy is released in this decay? The mass of the daughter nuclide is 231.036298 u. (c) Assuming the residual nucleus is formed in its ground state, how much energy goes to the particle?arrow_forward(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?arrow_forward(a) Calculate the energy released in the neutroninduced fission reaction n+235U92Kr+142Ba+2n, given m(92Kr)=91.926269 and m(142Ba)=141.916361u. (b) Confirm that the total number at nucleons and total charge are conserved in this reaction.arrow_forward
- (a) Calculate the energy released in the a decay of 238U . (b) What fraction of the mass of a single 238U is destroyed in the decay? The mass of 234Th is 234.043593 u. (c) Although the fractional mass loss is large for a single nucleus, it is difficult to observe for an entire macroscopic sample of uranium. Why is this?arrow_forwardWhat mass is converted into energy by a 1.00MT bomb?arrow_forwardAssume 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_forward
- (a) Calculate the energy released in the a decay of 238U. (b) What fraction of the mass at a single 238U is destroyed in the decay? The mass of 234Th is 234.043593 u. (c) Although the fractional mass loss is laws for a single nucleus, it is difficult to observe for an entire macroscopic sample of uranium. Why is this?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_forwardDerive an approximate relationship between the energy of (decay and halflife using the following data. It may be useful to graph the leg t1/2 against Ea to find some straightline relationship. Table 31.3 Energy and HalfLife for (Decay Nuclide E( (MeV) t1/2 216Ra 9.5 0.18 (s 194Po 7.0 0.7 s 240Cm 6.4 27 d 226Ra 4.91 1600 y 232Th 4.1 1.41010yarrow_forward
- The electrical power output of a large nuclear reactor facility is 900 MW. It has a 35.0% efficiency in converting nuclear power to electrical. (a) What is the thermal nuclear power output in megawatts? (b) How many 235U nuclei fission each second, assuming the average fission produces 200 MeV? (c) What mass of 235U is fissioned in one year of fullpower operation?arrow_forwardThe naturally occurring radioactive isotope 232Th does not make good fission fuel, because it has an even number of neurons; however, it can be bred into a suitable fuel (much as 238U is bred into 239P). (a) What are Z and N for 232Th? (b) Write the reaction equation for neutron captured by 232Th and identify the nuclide AX produced in n+232ThAX+. (c) The product nucleus β decays, as does its daughter. Write me decay equations for each, and identify the final nucleus. (d) Conform that the final nucleus has an odd number of neutrons, making it a better fission fuel. (e) Look up the halflife of the final nucleus to see if it lives long enough to be a useful fuel.arrow_forwardis the heaviest stable nuclide, and its BEN is low compared with medium-mass nuclides. Calculate BEN for this nucleus and compare it with the approximate value obtained from the graph in Figure 10.7. fission of nuclei with mass numbers greater than that of Fe. are othermic processes.arrow_forward
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