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Ch.21 - Nuclear Chemistry
Chapter 21, Problem 64b

The spent fuel elements from a fission reactor are much more intensely radioactive than the original fuel elements. (b) Given that only two or three neutrons are released per fission event and knowing that the nucleus undergoing fission has a neutron-to-proton ratio characteristic of a heavy nucleus, what sorts of decay would you expect to be dominant among the fission products?
Graph showing mass number vs atomic number for fission products in nuclear decay.

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1
Identify the neutron-to-proton ratio in the fission products, which is higher than in stable nuclei.
Recognize that fission products are neutron-rich and will likely undergo beta decay to convert neutrons into protons.
Observe the graph showing the decay series, noting the transitions between elements.
Notice the presence of alpha decay in the series, where heavy nuclei emit alpha particles (helium nuclei) to become more stable.
Conclude that the dominant decay modes among fission products are beta decay and alpha decay, as indicated by the transitions in the graph.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Nuclear Fission

Nuclear fission is the process by which a heavy nucleus splits into two or more smaller nuclei, along with the release of energy and neutrons. This reaction is typically initiated by the absorption of a neutron by the nucleus. The released neutrons can then induce further fission events, leading to a chain reaction, which is the principle behind nuclear reactors.
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Band of Stability: Nuclear Fission

Radioactive Decay

Radioactive decay is the process by which an unstable atomic nucleus loses energy by emitting radiation. This can occur through various modes, including alpha decay, beta decay, and gamma decay. The type of decay that predominates depends on the neutron-to-proton ratio of the nucleus, with heavy nuclei often undergoing alpha decay to achieve stability.
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Rate of Radioactive Decay

Decay Chains

Decay chains refer to a series of radioactive decays that occur as unstable isotopes transform into more stable forms. Each step in the chain involves the emission of particles or radiation, leading to different isotopes until a stable isotope is reached. In the context of fission products, these chains can result in a variety of decay products, often including isotopes of lead, bismuth, and polonium.
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Related Practice
Textbook Question

Complete and balance the nuclear equations for the following fission or fusion reactions:

(a) 21H + 21H → 32He + _

(b) 23992U + 10n¡ → 13351Sb + 9841Nb + _ 10n

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Textbook Question

Complete and balance the nuclear equations for the following fission reactions:

(a) 23592U + 10n → 16062Sm + 7230Zn + _ 10n

(b) 23994Pu + 10n → 14458Ce + _ + 2 10n

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Open Question
A portion of the Sun’s energy comes from the reaction 4 11H → 42He + 2 0-1e, which requires a temperature of 106 to 107 K. Use the mass of the helium-4 nucleus given in Table 21.7 to determine how much energy is released per mol of hydrogen atoms.
Open Question
Which type or types of nuclear reactors have these characteristics? (a) Does not use a secondary coolant (b) Creates more fissionable material than it consumes (c) Uses a gas, such as He or CO2, as the primary coolant.
Open Question
Which type or types of nuclear reactors have these characteristics? (a) Can use natural uranium as a fuel (b) Does not use a moderator (c) Can be refueled without shutting down
Open Question
Hydroxyl radicals can pluck hydrogen atoms from molecules (“hydrogen abstraction”), and hydroxide ions can pluck protons from molecules (“deprotonation”). Write the reaction equations and Lewis dot structures for the hydrogen abstraction and deprotonation reactions for the generic carboxylic acid R¬COOH with hydroxyl radical and hydroxide ion, respectively. Why is the hydroxyl radical more toxic to living systems than the hydroxide ion?