Chapter 19: Problem 44
Explain the functions of a moderator and a control rod in a nuclear reactor.
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Chapter 19: Problem 44
Explain the functions of a moderator and a control rod in a nuclear reactor.
These are the key concepts you need to understand to accurately answer the question.
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A radioactive substance undergoes decay as follows: $$\begin{array}{cc}\hline \text { Time (days) } & \text { Mass (g) } \\\\\hline 0 & 500 \\\1 & 389 \\\2 & 303 \\\3 & 236 \\\4 & 184 \\\5 & 143 \\\6 & 112 \\\\\hline\end{array}$$ Calculate the first-order decay constant and the halflife of the reaction.
As of \(2011,\) elements 113 through 118 have all been synthesized. Element 113 (Uut) was formed by the alpha decay of element 115 (Uup); element 114 (Uuq) was created by bombarding \({ }^{244} \mathrm{Pu}\) with \({ }^{48} \mathrm{Ca}\); element 115 (Uup) was created by bombarding \({ }^{243} \mathrm{Am}\) with \({ }^{48} \mathrm{Ca}\); element 116 (Uuh) was created by bombarding \({ }^{248} \mathrm{Cm}\) with \({ }^{48} \mathrm{Ca}\); element 117 (Uus) was created by bombarding \({ }^{249} \mathrm{Bk}\) with \({ }^{48} \mathrm{Ca} ;\) element 118 (Uuo) was created by bombarding \({ }^{249} \mathrm{Cf}\) with \({ }^{48} \mathrm{Ca}\). Write an equation for each synthesis. Predict the chemical properties of these elements. (Before transuranium elements are given proper names, they are temporarily assigned three-letter symbols all starting with U.)
The constituents of wine contain, among others, carbon, hydrogen, and oxygen atoms. A bottle of wine was sealed about 6 yr ago. To confirm its age, which of the isotopes would you choose in a radioactive dating study? The half-lives of the isotopes are \({ }^{13} \mathrm{C}: 5730 \mathrm{yr} ;{ }^{15} \mathrm{O}: 124 \mathrm{~s} ;{ }^{3} \mathrm{H}: 12.5 \mathrm{yr} .\) Assume that the activities of the isotopes were known at the time the bottle was sealed.
Write complete nuclear equations for the following processes: (a) tritium, \({ }^{3} \mathrm{H},\) undergoes \(\beta\) decay; (b) \({ }^{242}\) Pu undergoes \(\alpha\) -particle emission; (c) \({ }^{131} \mathrm{I}\) undergoes \(\beta\) decay; (d) \({ }^{251} \mathrm{Cf}\) emits an \(\alpha\) particle.
For each pair of isotopes listed, predict which one is less stable: (a) \({ }_{3}^{6} \mathrm{Li}\) or \({ }_{3}^{9} \mathrm{Li}\), (b) \({ }_{11}^{23} \mathrm{Na}\) or \({ }_{11}^{25} \mathrm{Na}\) (c) \({ }_{20}^{48} \mathrm{Ca}\) or \({ }_{21}^{48} \mathrm{Sc}\).
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