/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 28 Select the atom or ion in each p... [FREE SOLUTION] | 91Ó°ÊÓ

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Select the atom or ion in each pair that has the larger radius. (a) Cs or Rb (b) \(\mathbf{O}^{2-}\) or \(\mathbf{O}\) (c) Br or As

Short Answer

Expert verified
(a) Cs, (b) \( O^{2-} \), (c) As.

Step by step solution

01

Understanding Atomic Size

The size of an atom or ion is determined by its radius. In atoms, the radius generally increases as you move down a group because additional electron shells are added, making the atom larger. For ions, gaining electrons often increases size (anion), while losing electrons decreases size (cation).
02

Comparing Cs and Rb

Both Cs (cesium) and Rb (rubidium) are in group 1 of the periodic table, with Cs being below Rb. The size of atoms increases down a group, so Cs, being below Rb, has a larger atomic radius than Rb.
03

Analyzing \\( ext{ }m{O}^{2-}m{ ext{ }}\\) and \\(m{O}m{ ext{ }}\\)

Oxygen's \( O \) radius can be compared to its ion \( O^{2-} \). When oxygen gains two electrons to become \( O^{2-} \), its electron cloud expands due to increased electron-electron repulsion, resulting in a larger radius. Therefore, \( O^{2-} \) has a larger radius than \( O \).
04

Considering Br and As

Bromine (Br) and arsenic (As) belong to different groups, with Br being a halogen (Group 17) and As a metalloid (Group 15). In the same period, atomic size decreases from left to right. Since Br is further right in the periodic table compared to As, As has a larger atomic radius than Br.

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Key Concepts

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

Periodic Table Trends
The periodic table is a powerful tool for predicting the properties of elements, including their atomic radius. Atomic radius is a measure of the size of an atom, typically determined by the distance from the nucleus to the outermost electron shell. One of the main trends you'll notice in the periodic table is that atomic radius generally increases as you move from top to bottom within a group. This happens because new electron shells are added, which means the outer electrons are further from the nucleus.

On the other hand, as you move across a period from left to right, the atomic radius generally decreases. This is due to the increase in positive charge in the nucleus, which pulls the electrons closer, reducing the atomic size. Understanding these trends allows us to predict the relative sizes of different atoms based on their position in the periodic table with great accuracy.
Anions vs Cations
Ions are atoms or molecules that have lost or gained one or more electrons, and this change affects their size significantly. When an atom gains electrons, it becomes an anion. Anions have a larger radius than their neutral atom counterparts because the added electrons lead to increased electron-electron repulsion. This causes the electron cloud to expand.

On the flip side, when an atom loses electrons, it becomes a cation. Cations are smaller than the neutral atom because the loss of electrons results in a reduction of electron shells or reduced electron repulsion. The number of protons now exceeds the number of electrons, pulling the remaining electrons closer to the nucleus, thus reducing the atomic size. These changes are crucial in understanding chemical reactivity and properties of materials.
Group and Period Comparison
In the periodic table, elements are organized into groups (columns) and periods (rows), which helps us easily compare their properties such as atomic radius. When comparing elements within the same group, the atomic radius typically increases as you move down the group. This is because each successive element has an additional electron shell, which increases the size.

Conversely, when comparing elements across a period, atomic radius decreases from left to right. This decrease is due to the increasing nuclear charge, which effectively pulls the electron cloud closer to the nucleus, even though the shell remains the same. For example, within the same period, arsenic (As) will generally have a larger atomic radius than bromine (Br) because As is positioned to the left of Br in the periodic table. These comparisons help chemists predict and explain the behavior of elements in different states of matter.

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Most popular questions from this chapter

Sodium metal reacts readily with chlorine gas to give sodium chloride. (See General Chemistry Now CD-ROM or website Screen \(8.16 \text { Chemical Puzzler.})\) $$\mathrm{Na}(\mathrm{s})+\frac{1}{2} \mathrm{Cl}_{2}(\mathrm{g}) \longrightarrow \mathrm{NaCl}(\mathrm{s})$$ (a) What is the reducing agent in this reaction? What property of the element contributes to its ability as a reducing agent? (b) What is the oxidizing agent in this reaction? What property of the element contributes to its ability as an oxidizing agent? (c) Why does the reaction produce NaCl and not a compound such as \(\mathrm{Na}_{2} \mathrm{Cl}\) or \(\mathrm{NaCl}_{2} ?^{-}\)

Depict the electron configuration for magnesium using an orbital box diagram and noble gas notation. Give a complete set of four quantum numbers for each of the electrons beyond those of the preceding noble gas.

Explain why the reaction of calcium and fluorine does not form CaF \(_{3}\).

What is the maximum number of electrons that can be identified with each of the following sets of quantum numbers? In one case, the answer is "none." Explain why this is true. (a) \(n=4, \ell=3\) (b) \(n=6, \ell=1, m_{\ell}=-1\) (c) \(n=3, \ell=3, m_{\ell}=-3\)

Predict reasonable electron configurations for the following elements of the actinide series of elements. Use noble gas and spdf notations. (a) Plutonium, Pu. The element is best known as a byproduct of nuclear power plant operations. (b) Curium, Cm. This actinide was named for Madame Curie (page 57)

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