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Silver and rubidium both form \(+1\) ions, but silver is far less reactive. Suggest an explanation, taking into account the ground-state electron configurations of these elements and their atomic radii.

Short Answer

Expert verified
Silver (Ag) is far less reactive than rubidium (Rb) because, although they both form +1 ions and have one valence electron in the 5s orbital, the atomic radius of rubidium is larger than that of silver. This means the valence electron in rubidium is easier to remove compared to silver, and hence, rubidium is more chemically reactive than silver.

Step by step solution

01

Determine the electron configurations of silver and rubidium atoms

In order to determine the electron configurations of silver and rubidium, we can refer to the periodic table where their atomic numbers are given. Silver (Ag) has an atomic number of 47, while rubidium (Rb) has an atomic number of 37. Using the atomic numbers, we can write the electron configurations for both elements as follows: Silver (Ag): \( 1s^2 2s^2 2p^6 3s^2 3p^6 3d^{10} 4s^2 4p^6 4d^{10} 5s^1 \) Rubidium (Rb): \( 1s^2 2s^2 2p^6 3s^2 3p^6 4s^2 3d^{10} 4p^6 5s^1 \) It is important to analyze the outermost electrons, also known as valence electrons. Silver has one valence electron in the 5s orbital, while rubidium has one valence electron in the 5s orbital as well.
02

Analyze the atomic radii of silver and rubidium atoms

The other factor that can be taken into account is the atomic radii. In the periodic table, atoms increase in size as you move down a group (vertical column) and decrease in size as you move across a period (horizontal row). Rubidium is located in the alkali metals group and found in period 5. Silver is located in the transition metals group and found in period 5 as well. Since rubidium is on the far left of the period and silver is several elements to the right, we can conclude that rubidium has a larger atomic radius compared to silver.
03

Discuss the reactivity of silver and rubidium

The reactivity of an element is mainly determined by the ease with which it loses or gains electrons. Since both silver and rubidium have one valence electron in the 5s orbital, forming +1 ions, the atomic radius becomes an important factor to consider. Rubidium, with a larger atomic radius, means that its 5s valence electron is located farther from its nucleus and is less tightly bound, making it easier to be removed. On the other hand, silver's valence electron is closer to the nucleus due to its smaller atomic radius, resulting in a stronger attraction making it harder to be removed.
04

Conclusion

Silver (Ag) is far less reactive than rubidium (Rb) because, although they both form +1 ions and have one valence electron in the 5s orbital, the atomic radius of rubidium is larger than that of silver. This means the valence electron in rubidium is easier to remove compared to silver, and hence, rubidium is more chemically reactive than silver.

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Key Concepts

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

Electron Configuration
The electron configuration of an atom describes the distribution of electrons in its orbitals. For the elements in question, silver (Ag) and rubidium (Rb), understanding their electron configurations helps explain differences in their chemical reactivity.

- **Silver (Ag)** has an atomic number of 47. Its configuration is: \( 1s^2 2s^2 2p^6 3s^2 3p^6 3d^{10} 4s^2 4p^6 4d^{10} 5s^1 \). The outermost electron, or valence electron, is found in the 5s orbital. - **Rubidium (Rb)** has an atomic number of 37, with a configuration of: \( 1s^2 2s^2 2p^6 3s^2 3p^6 4s^2 3d^{10} 4p^6 5s^1 \). Similarly, its valence electron is also in the 5s orbital.

Although both elements have a single electron in the 5s orbital, their placement in different groups on the periodic table affects their electron configuration at the deeper levels, influencing their chemical properties and reactivity.
Atomic Radii
Atomic radius refers to the size of an atom, more specifically, the distance from the nucleus to the outermost electron shell. As a rule of thumb, the atomic radius increases down a group and decreases across a period in the periodic table.

Rubidium has a larger atomic radius than silver. In the periodic table, rubidium is situated in the alkali metal group, while silver is a transition metal. Both are located in period 5, but since rubidium lies to the far left and silver towards the center, rubidium's atoms are larger.

- **Bigger Radius & Easier Reactivity**: In rubidium, the increased size means its valence electron is farther from the nucleus, held with less energy, and therefore more easily lost. - **Smaller Radius & Harder Reactivity**: Conversely, in silver, the closer proximity of the valence electron to the nucleus due to a smaller radius creates a stronger attraction, making it harder to remove this electron, thus reducing its reactivity.
Valence Electrons
Valence electrons are the electrons in the outermost shell of an atom. These are the ones primarily involved in bonding and chemical reactions.

Silver and rubidium both have one valence electron in the 5s orbital. The way these electrons interact with the surrounding environment plays a vital role in determining the reactivity of the element.
- In **rubidium**, this electron is more loosely bound because of its larger atomic radius. Therefore, rubidium can easily lose its electron to form a +1 ion. This ease of electron removal makes rubidium highly reactive. - In **silver**, the valence electron is more tightly bound due to the relatively smaller atomic radius, meaning more energy is required to remove it. This results in silver being less reactive than rubidium.

The easy loss or retention of the valence electron significantly influences these elements' chemical behavior, contributing to the distinct difference in their reactivity despite having similar valence shell configurations.

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Most popular questions from this chapter

Among elements 1-18, which element or elements have the smallest effective nuclear charge if we use Equation 7.1 to calculate \(Z_{\text { eff}}\)? Which element or elements have the largest effective nuclear charge?

(a) Which ion is smaller, \(\mathrm{Co}^{3+}\) or \(\mathrm{Co}^{4+} ?(\mathbf{b})\) In a lithium-ion battery that is discharging to power a device, for every \(\mathrm{Li}^{+}\) that inserts into the lithium cobalt oxide electrode, a \(\mathrm{Co}^{4+}\) ion must be reduced to a \(\mathrm{Co}^{3+}\) ion to balance charge. Using the CRC Handbook of Chemistry and Physics or other standard reference, find the ionic radii of \(\mathrm{Li}^{+}, \mathrm{Co}^{3+},\) and \(\mathrm{Co}^{4+} .\) Order these ions from smallest to largest. (c) Will the lithium cobalt oxide cathode expand or contract as lithium ions are inserted? (d) Lithium is not nearly as abundant as sodium. If sodium ion batteries were developed that function in the same manner as lithium ion batteries, do you think "sodium cobalt oxide" would still work as the electrode material? Explain. (e) If you don’t think cobalt would work as the redox-active partner ion in the sodium version of the electrode, suggest an alternative metal ion and explain your reasoning.

Write equations that show the processes that describe the first, second, and third ionization energies of an aluminum atom. Which process would require the least amount of energy?

Which of the following statements about effective nuclear charge for the outermost valence electron of an atom is incorrect? (i) The effective nuclear charge can be thought of as the true nuclear charge minus a screening constant due to the other electrons in the atom. (ii) Effective nuclear charge increases going left to right across a row of the periodic table. (iii) Valence electrons screen the nuclear charge more effectively than do core electrons. (iv) The effective nuclear charge shows a sudden decrease when we go from the end of one row to the beginning of the next row of the periodic table. (v) The change in effective nuclear charge going down a column of the periodic table is generally less than that going across a row of the periodic table.

(a) Does metallic character increase, decrease, or remain unchanged as one goes from left to right across a row of the periodic table? (b) Does metallic character increase, decrease, or remain unchanged as one goes down a column of the periodic table? (c) Are the periodic trends in (a) and (b) the same as or different from those for first ionization energy?

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