Chapter 21: Problem 77
How is the rate of energy release controlled in a nuclear reactor?
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Chapter 21: Problem 77
How is the rate of energy release controlled in a nuclear reactor?
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The synthesis of new elements and specific isotopes of known elements in linear accelerators involves the fusion of smaller nuclei. a. An isotope of platinum can be prepared from nickel-64 and tin-124. Write a balanced equation for this nuclear reaction. (You may assume that no neutrons are ejected in the fusion reaction.) b. Substitution of tin- 132 for tin- 124 increases the rate of the fusion reaction 10 times. Which isotope of \(\mathrm{Pt}\) is formed in this reaction?
Fluorine- 18 is often introduced into specific drug molecules for use as imaging agents. a. Write a balanced nuclear equation for the decay of \(^{18} \mathrm{F}\). b. Calculate the binding energy for \(^{18} \mathrm{F}\). The exact mass of \(^{18} \mathrm{F}\) is \(2.98915 \times 10^{-26} \mathrm{kg}\)
Dating Cave Paintings Cave paintings in Gua Saleh Cave in Borneo have been dated by measuring the amount of \(^{14} \mathrm{C}\) in calcium carbonate deposits that formed over the pigments used in the paint. The source of the carbonate ion was atmospheric \(\mathrm{CO}_{2}\).a. What is the ratio of the \(^{14} \mathrm{C}\) radioactivity in calcium carbonate that formed 9900 years ago to that in calcium carbonate formed today? b. The archaeologists also used a second method, uranium-thorium dating, to confirm the age of the paintings by measuring trace quantities of these elements present as contaminants in the calcium carbonate. Shown below are two candidates for the U-Th dating method. Which isotope of uranium do you suppose was chosen? Explain your answer. $$\begin{aligned} &t_{1 / 2}=^{233} \mathrm{U} \quad 7.04 \times 10^{8} \mathrm{yr} \quad^{231} \mathrm{Th} \quad \rightarrow \quad^{231} \mathrm{p}_{2} \quad 3 \quad \rightarrow \quad\\\ &t_{1 / 2}=^{234} \mathrm{U} \quad \begin{array}{rl}\rightarrow & ^{230} \mathrm{Th} \\ 2.44 \times 10^{5} \mathrm{yr} & 7.7 \times 10^{4} \mathrm{hr}\end{array} \quad \begin{array}{rl} 226 \mathrm{p}_{2} & \rightarrow \\\1600 & \mathrm{yr}\end{array}\end{aligned}$$
Periodic outbreaks of food poisoning from E. coli-contaminated meat have renewed the debate about irradiation as an effective treatment of food. In one newspaper article on the subject, the following statement appeared: "Irradiating food destroys bacteria by breaking apart their molecular structure." How would you improve or expand on this explanation?
Bombardment of a \({ }^{239} \mathrm{Pu}\) target with \(\alpha\) particles produces \({ }^{242} \mathrm{Cm}\) and another particle. a. Use a balanced nuclear equation to determine the identity of the missing particle. b. The synthesis of which other nuclide described in this chapter involves the same subatomic particles?
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