Chapter 10: Problem 18
Why is a PET scan more accurate than a SPECT scan?
Chapter 10: Problem 18
Why is a PET scan more accurate than a SPECT scan?
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Get started for freeDefine and make clear distinctions between the terms neutron, nucleon, nucleus, and nuclide.
Armor-piercing shells with depleted uranium cores are fired by aircraft at tanks. (The high density of the uranium makes them effective.) The uranium is called depleted because it has had its \(^{235} \mathrm{U}\) removed for reactor use and is nearly pure \(^{238} \mathrm{U}\). Depleted uranium has been erroneously called nonradioactive. To demonstrate that this is wrong: (a) Calculate the activity of \(60.0 \mathrm{g}\) of pure \(^{238} \mathrm{U} .\) (b) Calculate the activity of \(60.0 \mathrm{g}\) of natural uranium, neglecting the \(^{234} \mathrm{U}\) and all daughter nuclides.
(a) Calculate the energy released in the neutron-induced fission \(n+^{238} \mathrm{U} \rightarrow^{96} \mathrm{Sr}+^{140} \mathrm{Xe}+3 n,\) given \(m\left(^{96} \mathrm{Sr}\right)=95.921750 \mathrm{u}\) and \(m\left(^{140} \mathrm{Xe}\right)=139.92164\). (b) This result is about \(6 \mathrm{MeV}\) greater than the result for spontaneous fission. Why? (c) Confirm that the total number of nucleons and total charge are conserved in this reaction.
The Galileo space probe was launched on its long journey past Venus and Earth in \(1989,\) with an ultimate goal of Jupiter. Its power source is \(11.0 \mathrm{kg}\) of \(^{238} \mathrm{Pu}\) a by-product of nuclear weapons plutonium production. Electrical energy is generated thermoelectrically from the heat produced when the \(5.59-\mathrm{MeV} \quad \alpha\) particles emitted in each decay crash to a halt inside the plutonium and its shielding. The half-life of \(^{238} \mathrm{Pu}\) is 87.7 years. (a) What was the original activity of the \(^{238} \mathrm{Pu}\) in becquerels? (b) What power was emitted in kilowatts? (c) What power was emitted 12.0 y after launch? You may neglect any extra energy from daughter nuclides and any losses from escaping \(\gamma\) rays.
(a) Calculate the energy released in the \(\alpha\) decay of \(^{238} \mathrm{U} .\) (b) What fraction of the mass of a single \(^{238} \mathrm{U}\) is destroyed in the decay? The mass of \(^{234} \mathrm{Th}\) is 234.043593 u. (c) Although the fractional mass loss is large for a single nucleus, it is difficult to observe for an entire macroscopic sample of uranium. Why is this?
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