Identify the least stable conformation of a di-substituted cyclohexane with ethyl groups at the 1st and 2nd carbons

Identify the least stable conformation of a di-substituted cyclohexane with ethyl groups at the 1st and 2nd carbons.

trans-1,2-diethylcyclohexane, with both ethyl groups equatorial
trans-1,2-diethylcyclohexane, with both ethyl groups axial
cis-1,2-diethylcyclohexane, with one ethyl group axial and one ethyl group equatorial
They are the same compound, so they are all equal.

The correct answer and explanation is :

The least stable conformation of a di-substituted cyclohexane with ethyl groups at the 1st and 2nd carbons is:

▶️ trans-1,2-diethylcyclohexane, with both ethyl groups axial


Explanation (Approx. 300 words):

Cyclohexane rings can adopt chair conformations, where substituents occupy either axial (pointing up/down, perpendicular to the ring plane) or equatorial (pointing outward, roughly parallel to the ring) positions. Stability in substituted cyclohexanes depends on the positions of substituents: equatorial positions are more favorable due to reduced steric hindrance, especially for bulkier groups like ethyl.

In 1,2-disubstituted cyclohexanes, the relative positions of the two substituents (cis vs. trans) dictate their possible orientations in chair conformations:

  1. trans-1,2-diethylcyclohexane:
  • In one chair flip, both ethyl groups can be equatorial – this is very stable, as both bulky groups avoid axial crowding.
  • In the flipped chair, both ethyls become axial – this is very unstable, due to 1,3-diaxial interactions, where axial groups clash with axial hydrogens on the same side of the ring. Since ethyl is a bulky group, these clashes are significant, making this conformation least stable.
  1. cis-1,2-diethylcyclohexane:
  • One group must be equatorial and the other axial, regardless of the chair flip. This results in a mixed interaction—intermediate stability—better than two axial groups but worse than two equatorial.
  1. The statement “They are the same compound” is incorrect because cis and trans isomers are distinct stereoisomers with different physical and chemical properties.

Conclusion:

Among the conformations listed, the trans-1,2-diethylcyclohexane with both ethyl groups in axial positions is the least stable due to the severe steric strain caused by the two bulky groups in axial positions.

Correct answer: trans-1,2-diethylcyclohexane, with both ethyl groups axial.

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