•61 The isotope 238SU decays to 206 Pb with a half-life of 4.47 x 10°y. Although the decay occurs in many individual steps, the first stephas by far the longest half-life; therefore, one can often considerthe decay to go directly to lead. That is,238U → 206Pb + various decay products.A rock is found to contain 4.20 mg of 23$U and 2.135 mg of 206PB.Assume that the rock contained no lead at formation, so all thelead now present arose from the decay of uranium. How manyatoms of (a) 238U and (b) 206Pb does the rock now contain? (c) Howmany atoms of 238U did the rock contain at formation? (d) What isthe age of the rock?

Answered: Image /qna-images/answer/22624dc3-b427-4c85-91b4-b028a4a5cd3c.jpg

Answered: •61 The isotope 238SU decays to 206 Pb…

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter29: Nuclear Physics

Section: Chapter Questions

Problem 55AP

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The fact that BE/A is greatest for A near 60 implies that the range at the nuclear force is about the diameter of such nuclides. (a) Calculate the diameter at an A = 60 nucleus. (b) Compare BE/A for 58Ni and 90Sr. The first is one of the most tightly bound nuclides, while the second is larger and less tightly bound.
The 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.
A piece of wood from an ancient Egyptian tomb is tested for its carbon-14 activity. It is found to have an activity per gram of carbon of A = l0 decay/min.g. What is the age of the wood?
Two fusion reactions mentioned in the text are n+3He4He+and n+1H2H+. Both reactions release energy, but the second also creates more fuel. Con film that the energies produced in the reactions are 20.58 and 2.22 MeV, respectively. Comment on which product nuclide is most tightly bound, 4He or 2H.
The ceramic glaze on a red-orange “Fiestaware” plate is U2O3and contains 50.0 grams of 238U, but very little 235U. (a) What is the activity of the plate? (b) Calculate the total energy that will be released by the 238U decay, (c) If energy is worth 12.0 cents per kWh , what is the monetary value of the energy emitted? (These brightly- colored ceramic plates went out of production some 30 years ago, but are still available as collectibles.)
(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?
(a) Neutron activation of sodium, which is 100% 23Na, produces 24Na, which is used in some heart scans, as seen in Table 32.1. The equation for the reaction is 23Na+n24Na+ . Find its energy output, given the mass of 24Na is 23.990962 u. (b) What mass at 24Na produces the needed 5.0mCi activity, given its halflife is 15.0 h?
Two fusion reactions mentioned in the text are n+3H4He+ and n+1H2H+. But reactions release energy, but the second also creates more fuel. Confirm that the energies produced in the reactions are 20.53 and 2.22 MeV, respectively. Comment on which product nuclide is most tightly bound, 4He or 2H.
How does the lithium deuteride in the thermonuclear bomb shown in Figure 32.33 supply tritium (3H) as well as deuterium (2H)?
(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?
In the science section of the newspaper, an article reports the efforts of a group of scientists to create a new nuclear reactor based on the fission of iron (Fe). Is this a good idea?

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