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Question

Which one of the following statements is not correct for benzene ?

This question was previously asked in
CDS 2 2025 Maths Question Paper (14-Sep-2025)
The correct answer is
It has six isomers.

Benzene Structure and Properties Explained

This question asks us to identify the statement that is not correct for benzene (C\(_6\)H\(_6\)). Let's analyze each statement:

Statement 1: Carbon Atom Bonding and Angles

In benzene, each carbon atom is sp2 hybridized. This hybridization results in a trigonal planar geometry around each carbon. Each carbon atom forms sigma bonds with:

  • Two adjacent carbon atoms.
  • One hydrogen atom.

The sigma bonds form a planar hexagonal ring. The bond angle between these sigma bonds in sp2 hybridization is ideally \(120^\circ\). Therefore, the statement "Each carbon atom forms sigma bonds with two other carbon atoms with a bond angle of \(120^\circ\)" is correct.

Statement 2: Delocalized Electron Cloud

Benzene is a classic example of a molecule exhibiting resonance. Each carbon atom has one unhybridized p-orbital perpendicular to the plane of the sigma bonds. These six p-orbitals overlap sideways to form a delocalized pi (\(\pi\)) system. This delocalization means the \(\pi\) electrons are not confined between specific carbon atoms but are spread out over the entire ring. This creates a continuous electron cloud above and below the plane of the benzene ring, giving it stability. Thus, the statement "Delocalized electrons create a symmetrical 'cloud' of electrons above and below the plane" is correct.

Statement 3: C-C Bond Length

In a typical molecule with alternating single and double bonds (like cyclohexatriene, a hypothetical structure), we would expect different C-C bond lengths: a shorter C=C double bond and a longer C-C single bond. However, experimental evidence for benzene shows that all six C-C bonds are identical in length. This bond length is measured to be approximately \(1.39\) Å (angstroms). This value is intermediate between the length of a typical C-C single bond (about \(1.54\) Å) and a C=C double bond (about \(1.34\) Å). This intermediate length is a direct consequence of the electron delocalization (resonance). Therefore, the statement "The length of C-C bonds is intermediate between single and double bonds" is correct.

Statement 4: Benzene Isomers

An isomer is a molecule that has the same molecular formula as another molecule but has a different arrangement of atoms in space. Benzene has the molecular formula C\(_6\)H\(_6\). When we consider the structure of benzene itself, there is only one unique arrangement of six carbon atoms forming a hexagonal ring with one hydrogen atom attached to each carbon, and with delocalized pi electrons. Benzene does not exhibit structural isomerism. For example, if we consider monosubstituted benzenes (like C\(_6\)H\(_5\)Cl), there is only one possible isomer. If we consider disubstituted benzenes (like C\(_6\)H\(_4\)Cl\(_2\)), there are three isomers (ortho, meta, para). The statement "It has six isomers" is not correct for benzene itself.

Conclusion

Based on the analysis, the statement that is not correct for benzene is the one claiming it has six isomers.

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