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Ch.20 - Radioactivity and Nuclear Chemistry
Chapter 20, Problem 4

Why do neon and magnesium each have three stable isotopes while sodium and aluminum each have only one?

Verified step by step guidance
1
Understand that isotopes are atoms of the same element with different numbers of neutrons, resulting in different mass numbers.
Recognize that the stability of isotopes is influenced by the balance between protons and neutrons in the nucleus, as well as nuclear forces.
Consider that elements with a balanced ratio of protons to neutrons tend to have more stable isotopes. Neon and magnesium have atomic numbers 10 and 12, respectively, which allow for multiple stable neutron configurations.
Note that sodium and aluminum, with atomic numbers 11 and 13, respectively, may have fewer stable neutron configurations due to their specific proton-neutron ratios, leading to fewer stable isotopes.
Acknowledge that nuclear stability is also influenced by factors such as nuclear binding energy and magic numbers, which are specific numbers of nucleons that result in more stable nuclei.

Key Concepts

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

Isotopes

Isotopes are variants of a chemical element that have the same number of protons but different numbers of neutrons, resulting in different atomic masses. The stability of isotopes is influenced by the balance between the number of protons and neutrons in the nucleus, which affects nuclear stability. Elements can have multiple stable isotopes, while others may have only one or be predominantly unstable.
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Nuclear Stability

Nuclear stability refers to the ability of an atomic nucleus to remain intact without undergoing radioactive decay. This stability is determined by the ratio of neutrons to protons; a balanced ratio generally leads to stability. Elements like neon and magnesium have isotopes that achieve this balance, while sodium and aluminum do not, resulting in fewer or no stable isotopes.
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Elemental Composition

The elemental composition, including the number of protons and neutrons, plays a crucial role in determining the isotopes of an element. Elements with higher atomic numbers tend to have more isotopes due to the increased number of neutrons required to offset the repulsive forces between protons. Sodium and aluminum, being lighter elements, have fewer stable isotopes as their nuclear configurations do not support multiple stable forms.
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