Problem 10

Question

The number of \(S-S\) bonds in sulphur trioxide trimer \(\mathrm{S}_{3} \mathrm{O}_{9}\) is (a) Three (b) Two (c) One (d) Zero

Step-by-Step Solution

Verified
Answer
The number of \( S-S \) bonds in \( \mathrm{S}_{3} \mathrm{O}_{9} \) is zero.
1Step 1: Understand the Structure of Sulphur Trioxide Trimer
First, we need to understand what the sulphur trioxide trimer \( \mathrm{S}_{3} \mathrm{O}_{9} \) looks like. It is a trimer formed by the linkage of three sulphur trioxide (\( \mathrm{SO}_{3} \)) units. In the trimer form, these units are joined in such a way as to form rings.
2Step 2: Determine Bond Connections
In the \( \mathrm{S}_{3} \mathrm{O}_{9} \) trimer, each sulphur (\( \mathrm{S} \)) atom is bonded to three oxygen (\( \mathrm{O} \)) atoms. Importantly, these oxygens provide the necessary bonds to allow the trimers to connect into a ring structure by bridging. Thus, a typical connection between the basic units involves sulphur-oxygen (\( \mathrm{S} \text{-} \mathrm{O} \)) and oxygen-sulphur bonds rather than sulphur-sulphur (\( \mathrm{S} \text{-} \mathrm{S} \)) bonds.
3Step 3: Identify Sulphur-Sulphur Bonds
Now we investigate whether there are any direct \( \mathrm{S} \text{-} \mathrm{S} \) bonds formed between the sulphur atoms themselves. In the specific case of \( \mathrm{S}_{3} \mathrm{O}_{9} \), each sulphur is only linked to oxygen atoms, with the bridging made via these oxygen atoms, meaning there are no \( \mathrm{S} \text{-} \mathrm{S} \) connections.
4Step 4: Conclusion from Bond Examination
With our examination of the structure, we can conclude that since all connections within the sulphur trioxide trimer are mediated by oxygen bridges, the compound has zero \( \mathrm{S} \text{-} \mathrm{S} \) bonds, meaning (d) zero is the correct answer.

Key Concepts

Chemical BondingSulphur-Oxygen BondsMolecular Structure Analysis
Chemical Bonding
Chemical bonding is fundamental in determining how atoms connect to form molecules. In a molecule, atoms are bonded through different types of bonds which determine the molecular configuration and properties. These bonds include ionic, covalent, and metallic bonds, among others.
The sulphur trioxide trimer, represented as \(\mathrm{S}_{3}\mathrm{O}_{9}\), primarily demonstrates covalent bonding. In covalent bonds, atoms share electron pairs to attain stability. In the case of the \(\mathrm{S}_{3}\mathrm{O}_{9}\) molecule, each sulphur atom shares electrons with oxygen atoms, leading to a stable structure. Understanding the type of bonding in molecules like \(\mathrm{S}_{3}\mathrm{O}_{9}\) is crucial for predicting their chemical behavior and reactivity.
Remember, bonding affects the properties of the compound such as melting and boiling points, solubility, and electrical conductivity. In this trimer, the chemical bonding also dictates its inability to form \(\mathrm{S}\text{-}\mathrm{S}\) bonds, as the oxygen bridges suffice to hold the trimers in a stable ring formation.
Sulphur-Oxygen Bonds
Sulphur-oxygen bonds are key in the structure of sulphur trioxide trimer. These bonds are characterized by the high electronegativity difference between sulphur and oxygen, making them polar covalent in nature. This means oxygen exerts a stronger pull on the shared electrons compared to sulphur.
In \(\mathrm{S}_{3}\mathrm{O}_{9}\), every sulphur atom is connected to three oxygen atoms. These connections define how the trimers interlink to form stable ring-like structures, which are a hallmark of the molecule's design. The presence of multiple \(\mathrm{S}\text{-}\mathrm{O}\) bonds is pivotal because they provide the necessary bridging mechanism that holds the trimeric units together.
The stability and functionality of the \(\mathrm{S}_{3}\mathrm{O}_{9}\) structure can be linked to how efficiently these sulphur-oxygen bonds form and maintain the integrity of the molecule through strong and cohesive interactions. This feature is a perfect illustration of how specialized bonds can drastically influence the three-dimensional structure of a compound without the need for sulphur-sulphur direct interaction.
Molecular Structure Analysis
Analyzing molecular structures is critical for understanding the arrangement of atoms in a molecule. Such analyses often involve determining the spatial configuration and bonding patterns that Z molecules exhibit.
In the sulphur trioxide trimer \(\mathrm{S}_{3}\mathrm{O}_{9}\), the structure is composed of three \(\mathrm{SO}_{3}\) units forming a cyclic pattern. Each \(\mathrm{SO}_{3}\) group is symmetrically attached, with oxygen atoms bridging between the sulphur atoms. The resulting ring configuration helps in distributing structural tension evenly across the molecule, providing stability.
By understanding this pattern, one realizes why the \(\mathrm{S}_{3}\mathrm{O}_{9}\) lacks \(\mathrm{S}\text{-}\mathrm{S}\) bonds. Rather than bonding directly, the sulphur atoms achieve optimal networking through shared oxygen atoms. This design showcases how molecular self-organization leads to complex structures. Such insights are invaluable in fields such as materials science and molecular chemistry, where the synthesis of known and novel molecules requires precise structural understanding.