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One way in which Earth's evolution as a planet can be understood is by measuring the amounts of certain isotopes in rocks. One quantity recently measured is the ratio of \({ }^{129} \mathrm{Xe}\) to \({ }^{130} \mathrm{Xe}\) in some minerals. In what way do these two isotopes differ from one another? In what respects are they the same?

Short Answer

Expert verified
The isotopes differ in their neutron numbers and are the same in their proton and electron configurations.

Step by step solution

01

Identify the Isotopes

First, note that we have two isotopes mentioned: - - - of xenon (Xe). Isotopes are different forms of the same element that have the same number of protons but different numbers of neutrons.
02

Calculate the Number of Neutrons

To find how these isotopes differ, calculate the number of neutrons in each. The atomic number of xenon (Xe) is 54, which means both isotopes have 54 protons. - For , the number of neutrons is: - For , the number of neutrons is: The isotopes differ in the number of neutrons they contain.
03

Identify Similarities

Next, understand how these isotopes are the same. Since both have the same atomic number 54, they have: - The same number of protons. - The same electron configuration. Thus, they behave similarly in chemical reactions because the chemical behavior of an element is determined by its electrons and protons.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Understanding Atomic Structure
The atomic structure of an element is defined by its atoms' basic components: protons, neutrons, and electrons. In this case, we're talking about the element xenon. Each xenon atom has an atomic number of 54, meaning it has 54 protons. These protons reside in the nucleus, alongside neutrons. Electrons orbit around this core in energy levels or shells.

When we talk about an element's isotopes, we're referring to variations of that element with the same number of protons but differing in neutron count. This results in isotopes having different atomic masses. However, their electron configurations remain the same. Since chemical properties are largely dictated by electrons, isotopes of a particular element often exhibit similar chemical behavior. Despite the difference in neutrons, isotopes largely retain the identity of their parent element.
Roles and Properties of Neutrons
Neutrons are subatomic particles that hold significant roles in the atom's nucleus. While protons are positively charged, neutrons have no charge, making them electrically neutral. Neutrons, along with protons, contribute to the majority of an atom’s mass. The difference in the neutron count between isotopes is what causes variations in atomic masses.

For xenon isotopes such as ^{129} ext{Xe} and ^{130} ext{Xe}, the neutron difference becomes apparent with their masses. The distinction arises not from their single proton difference but from the neutron count: ^{129} ext{Xe} has one fewer neutron than ^{130} ext{Xe}.

Neutrons are crucial because they stabilize the nucleus. A balance between neutrons and protons typically leads to a stable nucleus, though too many or too few can result in radioactive decay. This number also affects the isotopes' unique characteristics, such as their use in geological dating and tracing environmental processes.
Chemical Behavior and Isotopes
Chemical behavior is largely directed by an atom's electron configuration, not by its neutrons. This is why isotopes, despite having different masses, often behave indistinguishably in chemical reactions. For xenon isotopes, their electron sheath remains consistent as both ^{129} ext{Xe} and ^{130} ext{Xe} contain the same number of electrons, maintaining the same electronic layout.

This similarity in electron arrangement dictates that both isotopes engage in chemical reactions in much the same way. Their chemical properties, such as reactivity and affinity for forming bonds, remain unchanged.

Nonetheless, the difference in neutrons can impart some variations in physical properties, such as diffusion, which can lead researchers to utilize isotopes selectively in fields like geology and medicine. Despite these differences in physical behavior, when it comes to chemical reactions, their influence is typically negligible.

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Most popular questions from this chapter

Elements in the same group of the periodic table often form oxyanions with the same general formula. The anions are also named in a similar fashion. Based on these observations, suggest a chemical formula or name, as appropriate, for each of the following ions: \((\mathbf{a}) \mathrm{BrO}_{4}^{-},(\mathbf{b}) \mathrm{SeO}_{3}^{2-},(\mathbf{c})\) arsenate ion, (d) hydrogen tellurate ion.

Predict whether each of the following compounds is molecular or ionic: \((\mathbf{a}) \mathrm{BI}_{3}(\mathbf{b}) \mathrm{N}\left(\mathrm{CH}_{3}\right)_{3}(\mathbf{c}) \mathrm{Zr}\left(\mathrm{NO}_{3}\right)_{2}(\mathbf{d}) \mathrm{N}_{2} \mathrm{H}_{4}(\mathbf{e})\) \(\mathrm{OsCO}_{3}(\mathbf{f}) \mathrm{H}_{2} \mathrm{SO}_{4}(\mathbf{g}) \mathrm{HgS}(\mathbf{h}) \mathrm{IOH} .\)

Give the name or chemical formula, as appropriate, for each of the following binary molecular substances: \((\mathbf{a}) \mathrm{SF}_{6},(\mathbf{b}) \mathrm{IF}_{5}\), (c) \(\mathrm{XeO}_{3},\) (d) dinitrogen tetroxide, (e) hydrogen cyanide, (f) tetraphosphorus hexasulfide.

(a) What isotope is used as the standard in establishing the atomic mass scale? (b) The atomic weight of boron is reported as 10.81 , yet no atom of boron has the mass of \(10.81 \mathrm{u}\). Explain.

Copper (Cu) consists of two naturally occurring isotopes with masses of 62.9296 and 64.9278 u. (a) How many protons and neutrons are in the nucleus of each isotope? Write the complete atomic symbol for each, showing the atomic number and mass number. (b) The average atomic mass of Cu is \(63.55 \mathrm{u}\). Calculate the abundance of each isotope.

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