A mammoth skeleton has a carbon-14 decay rate of 0.48 disintegration per minute per gram of carbon (0.48 dis/min • g C). When did the mammoth live? (Assume that living organisms have a carbon-14 decay rate of 15.3 dis/min • g C and that carbon- 14 has a half-life of 5715 yr.)
Ch.21 - Radioactivity & Nuclear Chemistry
Chapter 21, Problem 59
Write the nuclear equation for the fusion of two H-2 atoms to form He-3 and one neutron.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Nuclear Fusion
Nuclear fusion is the process where two light atomic nuclei combine to form a heavier nucleus, releasing energy in the process. This reaction is the source of energy for stars, including the sun, and occurs under extreme temperature and pressure conditions. In the case of hydrogen isotopes, such as H-2 (deuterium), fusion can produce helium and other particles.
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Nuclear Equations
Nuclear equations represent the transformation of atomic nuclei during nuclear reactions. They show the reactants and products, including their atomic numbers and mass numbers, ensuring that both are conserved. For fusion reactions, the equation must balance the total number of protons and neutrons before and after the reaction.
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Isotopes
Isotopes are variants of a chemical element that have the same number of protons but different numbers of neutrons, resulting in different mass numbers. For example, H-2 (deuterium) has one neutron, while H-1 (protium) has none. Understanding isotopes is crucial in nuclear reactions, as they can significantly affect the reaction's products and energy output.
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Write the nuclear equation for the fusion of H-3 with H-1 to form He-4.
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