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Question

What is the bond angle (in degrees) in the structure of a benzene molecule?

This question was previously asked in
SSC CGL 2019 (Tier 2) GS Finance & Economics Previous Year Paper (17-Nov-2020)
The correct answer is

120

Understanding Benzene Structure and Bonding

The question asks about the bond angle within the structure of a benzene molecule. To determine this, we need to understand the molecular structure and bonding in benzene.

Benzene (\(C_6H_6\)) is a fundamental organic molecule known for its unique cyclic and aromatic structure. It consists of six carbon atoms joined in a ring, with one hydrogen atom attached to each carbon atom.

Hybridization of Carbon in Benzene

Each carbon atom in the benzene ring is bonded to two other carbon atoms and one hydrogen atom. This means each carbon atom forms three sigma bonds. To form these three sigma bonds and participate in the delocalized pi system (aromaticity), each carbon atom undergoes \(sp^2\) hybridization.

  • \(sp^2\) hybridization involves the mixing of one s atomic orbital and two p atomic orbitals to form three equivalent \(sp^2\) hybrid orbitals.
  • These three \(sp^2\) orbitals lie in a single plane and are oriented at an angle of approximately 120 degrees from each other.
  • The remaining unhybridized p orbital on each carbon atom is perpendicular to the plane of the \(sp^2\) orbitals. These unhybridized p orbitals overlap laterally to form the delocalized pi system above and below the plane of the ring.

Determining Bond Angles in Benzene

Due to the \(sp^2\) hybridization of each carbon atom and the hexagonal, planar structure of the benzene ring, the atoms around each carbon are arranged in a trigonal planar geometry. The ideal angle for trigonal planar geometry is 120 degrees.

In a perfectly symmetrical benzene molecule:

  • The angle between any two adjacent C-C bonds within the ring (C-C-C bond angle) is 120 degrees.
  • The angle between a C-C bond and the adjacent C-H bond (C-C-H bond angle) is also 120 degrees.

Therefore, the bond angle in the structure of a benzene molecule, specifically the C-C-C or C-C-H angles, is 120 degrees.

Summary of Bond Angles in Benzene

Based on the \(sp^2\) hybridization and the hexagonal planar structure, the bond angles are as follows:

Bond Type Bond Angle (degrees)
C-C-C 120
C-C-H 120

This 120-degree angle is characteristic of the \(sp^2\) hybridized carbon atoms arranged in a six-membered ring, contributing to the molecule's stability and symmetry.

Revision Table: Key Concepts for Benzene Bond Angle

Concept Description
Molecular Formula \(C_6H_6\)
Structure Cyclic, Planar, Hexagonal ring
Carbon Hybridization \(sp^2\) for each carbon
Geometry Around Carbon Trigonal Planar
Bond Angle (C-C-C, C-C-H) 120 degrees

Additional Information: Aromaticity and Stability

The 120-degree bond angles and planar structure in benzene are crucial for its aromatic character. Aromatic compounds have special stability due to the delocalization of pi electrons across the ring. Benzene satisfies Hückel's rule (4n+2 pi electrons, where n=1) with 6 pi electrons, contributing significantly to its stability and unique chemical properties.

Understanding the bond angles and hybridization is fundamental to understanding the geometry, properties, and reactivity of benzene and other aromatic compounds in organic chemistry.

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