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In which of the following pairs, two species are isostructural? \(\quad\) [C.B.S.E 2007] (a) \(\mathrm{SO}_{3}^{2-}\) and \(\mathrm{NO}_{3}^{-}\) \(\square\) (b) \(\mathrm{BF}_{3}\) and \(\mathrm{NF}_{3}\) (c) \(\mathrm{BrO}_{3}^{-}\) and \(\mathrm{XeO}_{3}\) \(\square\) (d) \(\mathrm{SF}_{4}\) and \(\mathrm{XeF}_{4}\)

Short Answer

Expert verified
(c) BrO鈧冣伝 and XeO鈧 are isostructural.

Step by step solution

01

Understanding Isostructural

Isostructural species have the same shape and hybridization of the central atom, regardless of size or atom substitutions.
02

Analyze Structure of SO鈧兟测伝 and NO鈧冣伝

The SO鈧兟测伝 ion has a trigonal pyramidal structure due to the presence of lone pairs on sulfur, whereas NO鈧冣伝 has a trigonal planar structure since nitrogen does not have lone pairs in this context. Thus, these two are not isostructural.
03

Analyze Structure of BF鈧 and NF鈧

BF鈧 has a trigonal planar structure due to sp虏 hybridization, while NF鈧 is pyramidal (or more specifically trigonal pyramidal) due to the presence of a lone pair on nitrogen, which is a result of sp鲁 hybridization. Hence, these are not isostructural.
04

Analyze Structure of BrO鈧冣伝 and XeO鈧

BrO鈧冣伝 is trigonal pyramidal because of the presence of lone pairs on bromine (sp鲁 hybridization), and on the other hand XeO鈧 is also trigonal pyramidal as xenon has lone pairs causing the same sp鲁 hybridization. Therefore, these two are isostructural.
05

Analyze Structure of SF鈧 and XeF鈧

SF鈧 has a seesaw shape due to one lone pair on sulfur resulting from sp鲁d hybridization, while XeF鈧 is square planar with two lone pairs on xenon, involving sp鲁d虏 hybridization. Thus, these are not isostructural.

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Key Concepts

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

VSEPR Theory
The Valence Shell Electron Pair Repulsion (VSEPR) theory is a cornerstone for understanding molecular geometry. It helps predict the shapes of molecules based on electrostatic repulsion between electron pairs around a central atom. According to this theory, electron pairs, both bonding and lone pairs, will arrange themselves as far apart as possible to minimize repulsion. This arrangement determines the molecular shape and geometry. For instance, in a molecule with no lone pairs, like carbon dioxide (CO鈧), the geometry will be linear. However, if lone pairs are present, as seen in ammonia (NH鈧), the shape can become trigonal pyramidal. The VSEPR theory is crucial for visualizing how molecules interact and understanding their chemical behavior.
Molecular Geometry
Molecular geometry refers to the 3D arrangement of atoms in a molecule. It's directly influenced by VSEPR theory as the electron pairs around the central atom push against each other, shaping the molecule. For example, in the molecule BF鈧, the geometry is trigonal planar due to even distribution of electron pairs. However, in NF鈧, despite having a similar number of atoms, the presence of a lone pair pushes the geometry into a trigonal pyramidal shape.
Each geometry type has specific bond angles. In a tetrahedral arrangement, typical bond angles are approximately 109.5掳, whereas in a trigonal planar one, these are about 120掳. Correctly identifying a molecule's geometry can aid in understanding its properties and reactivity.
Hybridization
Hybridization is the concept of mixing atomic orbitals to form new hybrid orbitals suitable for pairing electrons. This process is vital for determining molecular shape. For instance, the central atom in BF鈧 undergoes sp虏 hybridization forming a planar structure. In NF鈧, sp鲁 hybridization occurs due to lone pairs, transforming the geometry into trigonal pyramidal.
Hybrid orbitals are formed from combining different standard orbitals. As hybridization increases, from sp (linear) to sp鲁d虏 (octahedral), the complexity of shapes a molecule can adopt also increases. Thus, identifying hybridization is crucial for predicting molecular geometry and understanding bonding properties.
Lone Pairs
Lone pairs are pairs of valence electrons not involved in bonding and are key players in determining molecular shape. They occupy more space around the central atom than bonding pairs, influencing the overall geometry. For instance, the presence of one lone pair in SF鈧 leads to a seesaw shape through sp鲁d hybridization. In contrast, XeF鈧 has two lone pairs, resulting in a square planar shape due to sp鲁d虏 hybridization.
In VSEPR terminology, lone pairs are often more "repulsive" versus bonding pairs. This is because they are concentrated around the central atom more than shared pairs. Hence, understanding how lone pairs affect molecular structure can offer insights into other chemical properties and interactions.

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