Chapter 21: Problem 87
Describe, with appropriate equations, nuclear processes that lead to the formation of the noble gases He, Ne, Ar, Kr, Xe, and Rn. (Hint: Helium is formed from radioactive decay, neon is formed from the positron emission of \({ }^{22} \mathrm{Na}\), the formation of \(\mathrm{Ar}, \mathrm{Xe},\) and \(\mathrm{Rn}\) are discussed in the chapter, and \(\mathrm{Kr}\) is produced from the fission of \({ }^{235} \mathrm{U}\).)
Short Answer
Step by step solution
Formation of Helium
Formation of Neon
Formation of Argon
Formation of Krypton
Formation of Xenon
Formation of Radon
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Alpha Decay
For example, in the decay of uranium-238, it undergoes alpha decay to form thorium-234:
- Initial Nucleus: Uranium-238
- Alpha Particle Emitted: Helium-4
- Resulting Nucleus: Thorium-234
An example specific to helium production is:
- Radium-226 decaying into radon-222 and emitting a helium nucleus:
- Equation: \( \mathrm{^{226}_{88}Ra} \rightarrow \mathrm{^{222}_{86}Rn} + \mathrm{^{4}_{2}He} \)
Positron Emission
This mechanism is crucial for creating certain isotopes. For instance, sodium-22 undergoes positron emission to form neon-22. Here’s what happens:
- Initial Nucleus: Sodium-22
- Positron Emitted
- Resulting Nucleus: Neon-22
- \( \mathrm{^{22}_{11}Na} \rightarrow \mathrm{^{22}_{10}Ne} + \mathrm{e^+} + u_e \)
Fission
Uranium-235 is a common example of a fissionable isotope. Upon capturing a neutron, it splits into smaller fragments like krypton and barium. During this process, additional neutrons are released, which can induce further fission reactions, forming a chain reaction.
An example of this nuclear process is demonstrated by:
- Uranium-235 capturing a neutron:
- Equation: \( \mathrm{^{235}_{92}U} + \text{n} \rightarrow \mathrm{^{93}_{36}Kr} + \mathrm{^{140}_{56}Ba} + 3 \text{n} \)
Beta Decay
In beta-minus decay, a neutron is converted into a proton, and an electron is emitted. During beta-plus decay (also known as positron emission), which was discussed earlier, a proton becomes a neutron, and a positron is emitted.
For example, iodine-129 undergoes beta-minus decay to form xenon-129, expanding our understanding of nuclear transformations:
- Initial Nucleus: Iodine-129
- Beta Particle Emitted: Electron
- Resulting Nucleus: Xenon-129
- \( \mathrm{^{129}_{53}I} \rightarrow \mathrm{^{129}_{54}Xe} + \beta^- \)
Electron Capture
This type of decay is an alternative to positron emission for proton-rich nuclei. One classic example is the transformation of potassium-40 into argon-40:
- Initial Nucleus: Potassium-40
- Electron Captured
- Resulting Nucleus: Argon-40
- \( \mathrm{^{40}_{19}K} + \mathrm{e^-} \rightarrow \mathrm{^{40}_{18}Ar} \)