Chapter 12: Problem 114
Which of the following pair (s) represent (s) the isoelectronic species? (a) \(\mathrm{S}^{2-} \& \mathrm{Sc}^{3+}\) (b) \(\mathrm{SO}_{2} \& \mathrm{NO}_{3}^{-}\) (c) \(\mathrm{N}_{2} \& \mathrm{CN}^{-}\) (d) \(\mathrm{NH} \& \mathrm{H} \cdot \mathrm{O}^{+}\)
Short Answer
Expert verified
All pairs (a), (b), (c), and (d) are isoelectronic.
Step by step solution
01
Understand Isoelectronic Species
Isoelectronic species are atoms, ions, or molecules that have the same number of electrons. This means they will have the same electronic configuration.
02
Calculate Electrons in S虏鈦
Sulfur (S) normally has 16 electrons. The ion S虏鈦 gains 2 extra electrons, making it 18 electrons in total.
03
Calculate Electrons in Sc鲁鈦
Scandium (Sc) normally has 21 electrons. The ion Sc鲁鈦 loses 3 electrons, making it 18 electrons in total.
04
Evaluate Pair (a)
Both S虏鈦 and Sc鲁鈦 have 18 electrons, so they are isoelectronic.
05
Calculate Electrons in SO鈧
In SO鈧, sulfur has 16 electrons and each oxygen has 8 electrons. Thus, SO鈧 has a total of 16 + 2(8) = 32 electrons.
06
Calculate Electrons in NO鈧冣伝
In NO鈧冣伝, nitrogen has 7 electrons, each oxygen has 8 electrons, and there's an additional electron due to the negative charge. Therefore, NO鈧冣伝 has 7 + 3(8) + 1 = 32 electrons.
07
Evaluate Pair (b)
Both SO鈧 and NO鈧冣伝 have 32 electrons, so they are isoelectronic.
08
Calculate Electrons in N鈧
Each nitrogen atom in N鈧 has 7 electrons, thus there are 2(7) = 14 electrons in total.
09
Calculate Electrons in CN鈦
Carbon has 6 electrons, nitrogen has 7 electrons, and there's an extra electron due to the negative charge. So, CN鈦 has 6 + 7 + 1 = 14 electrons.
10
Evaluate Pair (c)
Both N鈧 and CN鈦 have 14 electrons, so they are isoelectronic.
11
Calculate Electrons in NH
NH consists of nitrogen (7 electrons) and hydrogen (1 electron), totaling 8 electrons.
12
Calculate Electrons in HO鈦
In HO鈦, hydrogen has 1 electron and oxygen normally has 8 electrons, but it loses one electron due to the positive charge. Therefore, it has 1 + 7 = 8 electrons.
13
Evaluate Pair (d)
Both NH and HO鈦 have 8 electrons, so they are isoelectronic.
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Electron Configuration
Electron configuration refers to the arrangement of electrons around the nucleus of an atom or ion. Understanding this concept is crucial because it determines how atoms interact with each other to form molecules. In general, electrons are arranged in energy levels or shells around an atom's nucleus, and within these shells, further grouped into subshells designated as s, p, d, and f in increasing complexity. For example, the electron configuration of a neutral sulfur atom, which normally has 16 electrons, is 1s虏 2s虏 2p鈦 3s虏 3p鈦. Adding or removing electrons, as seen in ions, alters this configuration. For instance, when a sulfur atom gains two electrons to form \( ext{S}^{2-}\), its electron configuration becomes the same as that of argon, with a total of 18 electrons (1s虏 2s虏 2p鈦 3s虏 3p鈦). This highlights the importance of electron configurations in categorizing isoelectronic species, which possess identical configurations but may differ in elemental identity or charge.
Ions and Atoms
Ions are charged particles that form when atoms lose or gain electrons. An atom becomes a cation when it loses electrons, carrying a positive charge, while gaining electrons results in an anion with a negative charge.Consider scandium (Sc), which in its neutral state has 21 electrons. When it loses three electrons to form \( ext{Sc}^{3+}\), it becomes a cation with a total of 18 electrons. This alteration in electron count differentiates ions from their parent atoms but sometimes matches other ions or atoms in electron count 鈥 making them isoelectronic. Isoelectronic species are inherently interesting in chemical studies as these species, although different in elemental composition, show similar electron configurations, which often leads to similar chemical properties.
Molecular Chemistry
Molecular chemistry focuses on the composition and behavior of molecules. A crucial aspect is understanding how electrons in atoms and ions interact to form stable arrangements in molecules.For instance, molecules of similar electron configurations can result in stable pairing due to electronic interactions. In cases like \( ext{SO}_2\) and \( ext{NO}_3^{-}\), both have the same number of electrons not just by mere count (32 electrons each) but in their spatial arrangement due to resonance and molecular structure. Structures and the idea of resonance are vital in molecular chemistry because they help predict how molecules will behave in chemical reactions and under various conditions, providing insight into molecule stability and reactivity.
Chemical Calculations
Chemical calculations often involve determining the electron count of atoms, ions, or molecules to understand their interactions and properties. These calculations are foundational for identifying isoelectronic species.When calculating the total number of electrons in ions and molecules, consider both atomic numbers and any charges. For example, in \( ext{CN}^{-}\), the electron count involves adding the 13 electrons from carbon and nitrogen and one extra due to the negative charge, resulting in 14 electrons. Knowing how to perform such calculations allows us to identify isoelectronic pairs like \( ext{N}_2\) and \( ext{CN}^{-}\), which broaden our understanding of molecular chemistry and ionic interactions, especially when predicting chemical behavior or traits.