(A)
The radius of hydrogen-3 of the nuclei of the isotope.
Explanation of Solution
An atomic nucleus is approximately spherical with radius
Thus, the radius of hydrogen-3 of the nuclei of the isotopes is
(B)
The radius of beryllium-8 of the nuclei of the isotope.
Explanation of Solution
An atomic nucleus is approximately spherical with radius
Thus, the radius of beryllium-8 of the nuclei of the isotopes is
(C)
The radius of aluminum-26 of the nuclei of the isotope.
Explanation of Solution
An atomic nucleus is approximately spherical with radius
Thus, the radius of aluminum-26 of the nuclei of the isotopes is
(D)
The radius of gold-197 of the nuclei of the isotope.
Explanation of Solution
An atomic nucleus is approximately spherical with radius
Thus, the radius of gold-197 of the nuclei of the isotopes is
(E)
The radius of technetium-100 of the nuclei of the isotope.
Explanation of Solution
An atomic nucleus is approximately spherical with radius
Thus, the radius of technetium-100 of the nuclei of the isotopes is
(F)
The radius of tungsten-184 of the nuclei of the isotope.
Explanation of Solution
An atomic nucleus is approximately spherical with radius
Thus, the radius of tungsten-184 of the nuclei of the isotopes is
(G)
The radius of osmium-190 of the nuclei of the isotope.
Explanation of Solution
An atomic nucleus is approximately spherical with radius
Thus, the radius of osmium-190 of the nuclei of the isotopes is
(H)
The radius of plutonium-239 of the nuclei of the isotope.
Explanation of Solution
An atomic nucleus is approximately spherical with radius
Thus, the radius of plutonium-239 of the nuclei of the isotopes is
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Chapter 27 Solutions
COLLEGE PHYSICS
- 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.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_forwardThe fact that BEN peaks at roughly A = 60 implies that the range of the strong nuclear force is about the diameter of this nucleus. Calculate the diameter of A = 60 nucleus. Compare BEN for 58Niand 90Sr . The first is one of the most tightly bound nuclides, whereas the second is larger and less tightly bound.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_forwardIntegrated Concepts: (a) What temperature gas would have atoms moving fast enough to bring two 3He nuclei into contact? Note that, because both are moving, the average kinetic energy only needs to be half the electric potential energy of these doubly charged nuclei when just in contact with one another. (b) Does this high temperature imply practical difficulties for doing this in controlled fusion?arrow_forwardThe purpose of producing 99Mo (usually by neutron activation of natural molybdenum, as in the preceding problem) is to produce 99mTc. Using the rules, verily that the decay of 99Mo produces 99mTc. (Most 99mTc nuclei produced in this decay are left in a metastable excited state denoted 99mTc.)arrow_forward
- If two nuclei are to fuse in a nuclear reaction, they must be moving fast enough so that the repulsive Coulomb force between them does not prevent them for getting within R1014mof one another. At this distance or nearer, the attractive nuclear force can overcome the Coulomb force, and the nuclei are able to fuse. (a) Find a simple formula that can be used to estimate the minimum kinetic energy the nuclei must have if they are to fuse. To keep the calculation simple, assume the two nuclei are identical and moving toward one another with the same speed v. (b) Use this minimum kinetic energy to estimate the minimum temperature a gas of the nuclei must have before a significant number of them will undergo fusion. Calculate this minimum temperature first for hydrogen and then for helium. (Hint: For fusion to occur, the minimum kinetic energy when the nuclei are far apart must be equal to the Coulomb potential energy when they are a distance R apart.)arrow_forwardWhy is the number of neutrons greater than the number of protons in stable nuclei that have an A greater than about 40? Why is this effect more pronounced for the heaviest nuclei?arrow_forwardThe mass (M) and the radius (r) of a nucleus can be expressed in terms of the mass number, A. (a) Show that the density of a nucleus is independent of A (b) Calculate the density of a gold (Au) nucleus. Compare your answer to that for iron (Fe).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_forwardCalculate the activity R , in curies of 1.00 g of 226Ra. (b) Explain why your answer is not exactly 1.00 Ci, given that the curie was originally supposed to be exactly the activity of a gram of radium.arrow_forwardIntegrated Concepts Estimate the density of a nucleus by calculating the density of a proton, taking it to be a sphere 1.2 fm in diameter. Compare your result with the value estimated in this chapter.arrow_forward
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