Chapter 21: Problem 20
Give the symbol for (a) a neutron, (b) an alpha particle, (c) gamma radiation.
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Chapter 21: Problem 20
Give the symbol for (a) a neutron, (b) an alpha particle, (c) gamma radiation.
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How much time is required for a \(6.25-\mathrm{mg}\) sample of \({ }^{51} \mathrm{Cr}\) to decay to \(0.75 \mathrm{mg}\) if it has a half-life of \(27.8\) days?
A \(26.00-\mathrm{g}\) sample of water containing tritium, \({ }^{3} \mathrm{H}\), emits \(1.50 \times 10^{3}\) beta particles per second. Tritium is a weak beta emitter with a half-life of \(12.3 \mathrm{yr}\). What fraction of all the hydrogen in the water sample is tritium?
The average energy released in the fission of a single uranium-235 nucleus is about \(3 \times 10^{-11} \mathrm{~J}\). If the conversion of this energy to electricity in a nuclear power plant is \(40 \%\) efficient, what mass of uranium- 235 undergoes fission in a year in a plant that produces 1000 megawatts? Recall that a watt is \(1 \mathrm{~J} / \mathrm{s}\).
The atomic masses of nitrogen-14, titanium-48, and xenon-129 are \(13.999234\) amu, \(47.935878\) amu, and \(128.904779\) amu, respectively. For each isotope, calculate (a) the nuclear mass, (b) the nuclear binding energy, (c) the nuclear binding energy per nucleon.
Nuclear scientists have synthesized approximately \(1600 \mathrm{nu}-\) clei not known in nature. More might be discovered with heavy-ion bombardment using high-energy particle accelerators. Complete and balance the following reactions, which involve heavy-ion bombardments: (a) \({ }_{3}^{6} \mathrm{Li}+{ }_{28}^{56} \mathrm{Ni} \longrightarrow\) ? (b) \({ }_{20}^{40} \mathrm{Ca}+{ }_{96}^{248} \mathrm{Cm} \longrightarrow{ }_{62}^{147} \mathrm{Sm}+\) ? (c) \({ }_{38}^{88} \mathrm{Sr}+{ }_{26}^{81} \mathrm{Kr} \longrightarrow{ }_{26}^{116} \mathrm{Pd}+\) ? (d) \({ }_{20}^{40} \mathrm{Ca}+{ }_{92}^{23 \mathrm{~S}} \mathrm{U} \longrightarrow{ }_{30}^{70} \mathrm{Zn}+4{ }_{0}^{1} \mathrm{n}+2\) ?
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