Chapter 21: Problem 59
What is the function of the control rods in a nuclear reactor? What substances are used to construct control rods?Why are these substances chosen?
Chapter 21: Problem 59
What is the function of the control rods in a nuclear reactor? What substances are used to construct control rods?Why are these substances chosen?
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Get started for freeIn 2010, a team of scientists from Russia and the United States reported creation of the first atom of element 117, which is named tennessine, and whose symbol is Ts. The synthesis involved the collision of a target of \(_{97}^{249} \mathrm{Bk}\) with accelerated ions of an isotope which we will denote Q. The product atom, which we will call Z, immediately releases neutrons and forms \(_{97}^{249} \mathrm{Bk} :\) $$_{97}^{249} \mathrm{Bk}+\mathrm{Q} \longrightarrow \mathrm{Z} \longrightarrow_{117 \mathrm{Ts}}^{294 \mathrm{Ts}}+3_{0}^{1} \mathrm{n}$$ (a) What are the identities of isotopes Q and Z? (b) Isotope Q is unusual in that it is very long-lived (its half-life is on the order of 1019 yr) in spite of having an unfavorable neutron-to-proton ratio (Figure 21.1). Can you propose a reason for its unusual stability? (c) Collision of ions of isotope Q with a target was also used to produce the first atoms of livermorium, Lv. The initial product of this collision was \(_{116}^{296} \mathrm{Zn}\). What was the target isotope with which Q collided in this experiment?
Each of the following transmutations produces a radionuclide used in positron emission tomography (PET). (a) Inequations (i) and (ii), identify the species signified as "X." (b) In equation (iii), one of the species is indicated as "d." What do you think it represents? \begin{equation}\begin{array}{l}{(\mathrm{i})^{14} \mathrm{N}(\mathrm{p}, \alpha) \mathrm{X}} \\ {(\mathrm{ii})^{18} \mathrm{O}(\mathrm{p}, \mathrm{X})^{18} \mathrm{F}} \\ {\text { (iii) }^{14} \mathrm{N}(\mathrm{d}, \mathrm{n})^{15} \mathrm{O}}\end{array}\end{equation}
The half-life for the process \(^{238} \mathrm{U} \longrightarrow^{206} \mathrm{Pb}\) is \(4.5 \times 10^{9} \mathrm{yr}.\) A mineral sample contains 75.0 \(\mathrm{mg}\) of \(^{238} \mathrm{U}\) and 18.0 \(\mathrm{mg}\) of \(^{206} \mathrm{pb} .\) What is the age of the minineral?
Chlorine has two stable nuclides, \(^{35} \mathrm{Cl}\) and \(^{37} \mathrm{Cl} .\) In contrast, \(^{36} \mathrm{Cl}\) is a radioactive nuclide that decays by beta emission. (a) What is the product of decay of \(^{36} \mathrm{Cl} ?\) (b) Based on the empirical rules about nuclear stability, explain why the nucleus of \(^{36} \mathrm{C}\) is less stable than either \(^{35}\mathrm{Cl}\) or \(^{37} \mathrm{Cl}\).
Which statement best explains why nuclear transmutations involving neutrons are generally easier to accomplish than those involving protons or alpha particles? \begin{equation} \begin{array}{l}{\text { (a) Neutrons are not a magic number particle. }} \\\ {\text { (b) Neutrons do not have an electrical charge. }} \\ {\text { (c) Neutrons are smaller than protons or alpha particles. }} \\ {\text { (d) Neutrons are attracted to the nucleus even at long distances,}} \\ \quad {\text { whereas protons and alpha particles are repelled. }}\end{array} \end{equation}
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