(a) Draw the Lewis structures for at least four species that have the general formula $$[ : x \equiv Y :]^{n}$$ where \(\mathrm{X}\) and \(\mathrm{Y}\) may be the same or different, and \(n\) may have a value from \(+1\) to \(-2 .\) (b) Which of the compounds

Short Answer

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In summary, the Lewis structures for the four species are: 1. \[ [\,:\mathrm{N}\equiv\mathrm{N}:\,] \] (no net charge) 2. \[ [\mathrm{C}\equiv\mathrm{N}:\,] \] (net charge = 0) 3. \[ [\mathrm{C}\equiv\mathrm{C}] \] (no net charge) 4. \[[:\mathrm{N}\equiv\mathrm{O}\,] \] (net charge = 0)

Step by step solution

01

Understand Lewis structures

A Lewis structure is a representation of the valence electrons of an atom, molecule, or ion. In a Lewis structure, the chemical symbol for the element is used along with dots to represent its valence electrons. To draw a Lewis structure, we need to know the valence electrons of the elements involved and follow certain rules: 1. Count the total number of valence electrons from all the atoms in the molecule. 2. Place the least electronegative atom in the center and surround it with the remaining atoms. 3. Connect each surrounding atom to the central atom with a single bond (a line). 4. Fill the octets of the surrounding atoms with the remaining electrons. 5. If there are electrons left, place them around the central atom.
02

Identify possible elements for X and Y

Since the given formula contains a triple bond between X and Y, the elements forming the species must be capable of forming triple bonds. Elements like nitrogen (N), carbon (C), and oxygen (O) can form triple bonds. We can choose different combinations for X and Y from these elements to create the four required species.
03

Draw Lewis structures for the four species

We will choose the following combinations for X and Y: 1. X = N, Y = N 2. X = C, Y = N 3. X = C, Y = C 4. X = N, Y = O (a) Lewis structures for the species: 1. N ≡ N: Nitrogen has 5 valence electrons. Both nitrogens share three pairs of electrons, forming a triple bond. Additionally, each nitrogen has one lone pair of electrons. The structure is: \[ [\,:\mathrm{N}\equiv\mathrm{N}:\,] \] 2. C ≡ N: Carbon has 4 valence electrons, and nitrogen has 5 valence electrons. The carbon and nitrogen atoms share three pairs of electrons, forming a triple bond. The nitrogen atom has one lone pair of electrons. The structure is: \[ [\mathrm{C}\equiv\mathrm{N}:\,] \] 3. C ≡ C: Carbon has 4 valence electrons. Both carbon atoms share three pairs of electrons, forming a triple bond. The structure is: \[ [\mathrm{C}\equiv\mathrm{C}] \] 4. N ≡ O: Nitrogen has 5 valence electrons, and oxygen has 6 valence electrons. The nitrogen and oxygen atoms share three pairs of electrons, forming a triple bond. The oxygen atom has one lone pair of electrons. The structure is: \[[:\mathrm{N}\equiv\mathrm{O}\,] \] (b) Analyzing the charges of each compound: 1. N ≡ N: There is no net charge, as both nitrogen atoms share electrons equally. 2. C ≡ N: The carbon atom has a formal charge of +1, and the nitrogen atom has a formal charge of -1. The net charge of the compound is 0. 3. C ≡ C: There is no net charge, as both carbon atoms share electrons equally. 4. N ≡ O: The nitrogen atom has a formal charge of -1, and the oxygen atom has a formal charge of +1. The net charge of the compound is 0. In conclusion, we have drawn Lewis structures for four different species that satisfy the given formula. The charges of the species are as described in part (b) of the solution.

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Key Concepts

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

Valence Electrons
Understanding valence electrons is crucial when drawing Lewis structures, as they are the electrons located in the outermost shell of an atom and are therefore involved in chemical bonding. Valence electrons determine the chemical properties and reactivity of an element.

For instance, in the exercise provided, nitrogen (N) has five valence electrons, carbon (C) has four, and oxygen (O) has six. These valence electrons are represented as dots around the chemical symbols in a Lewis structure. The total number of valence electrons dictates how atoms bond with each other. Atoms in a molecule share valence electrons to achieve a stable electron configuration, typically an octet, or eight electrons, which is considered a complete outer shell for most elements.

The understanding of valence electrons underpins the creation of Lewis structures, predicting how atoms will bond in a molecule and providing insight into the molecular geometry and potential reactivity.
Triple Bond

Characteristics of a Triple Bond

A triple bond, one of the strongest and shortest types of chemical bonds, involves the sharing of three pairs of valence electrons between two atoms. This type of bond is typically found between atoms that have the ability to form multiple covalent bonds, such as carbon and nitrogen.

In the provided exercise, triple bonds are a key structural feature in the species with the general formula \( [ : X \equiv Y :]^{n} \). These bonds significantly affect the molecules' physical properties, like their bond lengths and strengths. For instance, nitrogen molecules (N≡N) exhibit a very strong triple bond that contributes to their inertness under standard conditions.

Triple bonds are depicted in Lewis structures as three lines connecting the bonding atoms, such as in carbon monoxide (CO) or acetylene (C2H2). The understanding of triple bonds is essential when predicting the behavior of these compounds in chemical reactions.
Formal Charge

Calculating Formal Charge

The formal charge on an atom within a molecule or ion helps us understand its electronic structure and is crucial for correctly drawing Lewis structures. The formal charge is the theoretical charge an atom would have if all bonding electrons were shared equally between the bonded atoms. It is calculated by taking the number of valence electrons in the free atom, subtracting the number of non-bonding (lone pair) electrons, and then further subtracting half the number of bonding electrons.

Formal charge can be represented by the following formula: \[ FC = V - (L + \frac{B}{2}) \] where \( FC \) is the formal charge, \( V \) represents the number of valence electrons, \( L \) is the number of non-bonding electrons, and \( B \) is the number of bonding electrons.

It's important for students to learn how to calculate formal charges, as exemplified in the given exercise's solutions (b), to check the stability of the drawn Lewis structures and predict the most likely arrangement of electrons in a molecule or ion.

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Most popular questions from this chapter

Write the formulas for the following compounds, and indicate the oxidation state of the group 4 A element or of boron in each: (a) boric acid, (b) silicon tetrabromide, (c) lead(II) chloride, (d) sodium tetraborate decahydrate (borax), (e) boric oxide, (f) germanium dioxide.

Which of the following statements are true? (a) Si can form an ion with six fluorine atoms, SiF \(_{6}^{2-}\) ,whereas carbon cannot.(b) Si can form three stable compounds containing two Si atoms each, \(\mathrm{Si}_{2} \mathrm{H}_{2}, \mathrm{Si}_{2} \mathrm{H}_{4},\) and \(\mathrm{Si}_{2} \mathrm{H}_{6}\) (c) In \(\mathrm{HNO}_{3}\) and \(\mathrm{H}_{3} \mathrm{PO}_{4}\) the central atoms, \(\mathrm{N}\) and \(\mathrm{P},\) have different oxidation states. (d) \(\mathrm{S}\) is more electronegative than Se.

In aqueous solution, hydrogen sulfide reduces (a) \(\mathrm{Fe}^{3+}\) to \(\mathrm{Fe}^{2+},(\mathbf{b}) \mathrm{Br}_{2}\) to \(\mathrm{Br}^{-},(\mathbf{c}) \mathrm{MnO}_{4}^{-}\) to \(\mathrm{Mn}^{2+},(\mathbf{d}) \mathrm{HNO}_{3}\) to \(\mathrm{NO}_{2}\) . In all cases, under appropriate conditions, the product is elemental sulfur. Write a balanced net ionic equation for each reaction.

Write the Lewis structure for each of the following species, describe its geometry, and indicate the oxidation state of the nitrogen: (a) HNO \(_{2},(\mathbf{b}) \mathrm{N}_{3},(\mathbf{c}) \mathrm{N}_{2} \mathrm{H}_{5}^{+},(\mathbf{d}) \mathrm{NO}_{3}^{-} .\)

Hydrazine has been employed as a reducing agent for metals. Using standard reduction potentials, predict whether the following metals can be reduced to the metallic state by hydrazine under standard conditions in acidic solution: (a) \(\mathrm{Fe}^{2+},(\mathbf{b}) \mathrm{Sn}^{2+},(\mathbf{c}) \mathrm{Cu}^{2+},(\mathbf{d}) \mathrm{Ag}^{+},(\mathbf{e}) \mathrm{Cr}^{3+},(\mathbf{f}) \mathrm{Co}^{3+}\)

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