Chapter 7: Problem 37
The pair of species having identical shapes for molecules of both species is: (a) \(\mathrm{PF}_{5}, \mathrm{IF}_{5}\) (b) \(\mathrm{XeF}_{2}, \mathrm{CO}_{2}\) (c) \(\mathrm{ACF}_{4}, \mathrm{SF}_{4}\) (d) \(\mathrm{BF}_{3}, \mathrm{PCl}_{3}\)
Short Answer
Expert verified
\(\mathrm{XeF}_{2}\) and \(\mathrm{CO}_{2}\) have identical shapes; both species have a linear molecular geometry.
Step by step solution
01
Identify the Molecular Geometry of Each Pair
Analyze each pair of species to determine their geometry using VSEPR theory. The shape of a molecule is determined by the number of bonding pairs of electrons and lone pairs of electrons around the central atom.
02
Analyze Geometry of \(\mathrm{PF}_{5}\) and \(\mathrm{IF}_{5}\)
Both \(\mathrm{PF}_{5}\) and \(\mathrm{IF}_{5}\) have a central atom with five bonding pairs and no lone pairs, resulting in a trigonal bipyramidal shape. However, due to the difference in the size of the central atom, the actual bond angles may differ slightly.
03
Analyze Geometry of \(\mathrm{XeF}_{2}\) and \(\mathrm{CO}_{2}\)
\(\mathrm{XeF}_{2}\) has a central atom with two bonding pairs and three lone pairs, giving it a linear shape. \(\mathrm{CO}_{2}\) also has a central atom with two bonding pairs and no lone pairs, which likewise results in a linear shape. Therefore, these two molecules have identical shapes.
04
Analyze Geometry of \(\mathrm{ACF}_{4}\) and \(\mathrm{SF}_{4}\)
\(\mathrm{ACF}_{4}\) is not a standard chemical formula and is likely a typo. Assuming \(\mathrm{ACF}_{4}\) is meant to represent a generic molecule \(\mathrm{AX}_{4}\), which typically forms a tetrahedral shape, while \(\mathrm{SF}_{4}\) has a see-saw shape due to one lone pair on the sulfur atom. Thus, their shapes are not identical.
05
Analyze Geometry of \(\mathrm{BF}_{3}\) and \(\mathrm{PCl}_{3}\)
\(\mathrm{BF}_{3}\) has three bonding pairs and no lone pairs on the central atom, resulting in a trigonal planar shape. \(\mathrm{PCl}_{3}\) has three bonding pairs and one lone pair on the central atom, leading to a trigonal pyramidal shape. Their shapes are therefore different.
06
Select the Pair with Identical Shapes
Determine which pair of molecules has identical shapes. From the analysis above, the only pair with identical molecular shapes is \(\mathrm{XeF}_{2}\) and \(\mathrm{CO}_{2}\), both of which are linear.
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
VSEPR Theory
Valence Shell Electron Pair Repulsion (VSEPR) theory is a model used to predict the shape of individual molecules based upon the extent of electron-pair electrostatic repulsion. It implies that electron pairs around a central atom will orient themselves in a three-dimensional space to be as far apart as possible, minimizing the repulsion between these pairs and leading to specific molecular geometries.
To apply VSEPR theory in practice, one usually starts by looking at the Lewis structure of a molecule to determine the number of bonding electron pairs (shared between atoms) and lone pairs (not shared) on the central atom. Molecular shape is then derived by considering repulsions between all electron pairs around the central atom. For example, in a molecule with four bonding pairs (like methane, CH4), these will arrange themselves at the points of a tetrahedron to maximize their distances apart.
Molecular shape directly affects physical and chemical properties of the substance, such as reactivity, polarity, and phase. Awareness of the three-dimensional structure also aids in understanding how molecules interact with one another in biological systems and industrial processes. Thus, mastering VSEPR theory is crucial for any chemistry student.
To apply VSEPR theory in practice, one usually starts by looking at the Lewis structure of a molecule to determine the number of bonding electron pairs (shared between atoms) and lone pairs (not shared) on the central atom. Molecular shape is then derived by considering repulsions between all electron pairs around the central atom. For example, in a molecule with four bonding pairs (like methane, CH4), these will arrange themselves at the points of a tetrahedron to maximize their distances apart.
Molecular shape directly affects physical and chemical properties of the substance, such as reactivity, polarity, and phase. Awareness of the three-dimensional structure also aids in understanding how molecules interact with one another in biological systems and industrial processes. Thus, mastering VSEPR theory is crucial for any chemistry student.
Molecular Geometry
Molecular geometry describes the three-dimensional arrangement of atoms within a molecule. It is determined by the spatial distribution of bonding and non-bonding electron pairs, which is predicted using VSEPR theory. The term 'molecular shape' is often used interchangeably with molecular geometry, but it usually refers to the position of atoms, disregarding the electron pairs.
Common molecular geometries include linear, trigonal planar, tetrahedral, trigonal bipyramidal, and octahedral. Each geometry has a characteristic bond angle associated with it. For instance, in a linear molecule like carbon dioxide (CO2), the atoms are arranged in a straight line with bond angles of 180 degrees. Conversely, a tetrahedral shape, as seen in methane (CH4), boasts bond angles of approximately 109.5 degrees.
Understanding molecular geometry is essential not only for predicting physical and chemical properties but also for describing the way molecules fit together during chemical reactions. As some molecules may have similar molecular formulas but different geometries, this concept becomes particularly significant in the context of isomerism and the study of complex chemical systems.
Common molecular geometries include linear, trigonal planar, tetrahedral, trigonal bipyramidal, and octahedral. Each geometry has a characteristic bond angle associated with it. For instance, in a linear molecule like carbon dioxide (CO2), the atoms are arranged in a straight line with bond angles of 180 degrees. Conversely, a tetrahedral shape, as seen in methane (CH4), boasts bond angles of approximately 109.5 degrees.
Understanding molecular geometry is essential not only for predicting physical and chemical properties but also for describing the way molecules fit together during chemical reactions. As some molecules may have similar molecular formulas but different geometries, this concept becomes particularly significant in the context of isomerism and the study of complex chemical systems.
Chemical Bonding
Types of Chemical Bonds
Chemical bonding is the process responsible for the formation of chemical compounds, which occurs when atoms share or exchange electrons. There are three primary types of chemical bonds: ionic, covalent, and metallic. Ionic bonds form between atoms when electrons are transferred from one atom to another, leading to the formation of ions that attract each other. Covalent bonds occur when atoms share pair(s) of electrons, and metallic bonds are seen in metals where electrons are shared among a lattice of atoms.Role of Electrons in Bonding
Electrons closer to the nucleus are core electrons and are not involved in bonding, while the valence electrons, found in the outermost shell, participate in bond formation. Therefore, understanding the electronic configuration of an atom provides insight into its bonding capabilities and the possible structures it can form.The sharing or transfer of valence electrons leads to the stable structures described by VSEPR theory and directly influences molecular geometry. The three concepts of VSEPR theory, molecular geometry, and chemical bonding are interconnected, each playing an integral role in the fundamental understanding of chemistry.