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JEE Main levelSingle correct optionDifficulty 2 of 3st142

In trans-1,2-dimethylcyclohexane the diequatorial chair has one gauche CH3/CH3 interaction, while the diaxial chair has four CH3/H 1,3-diaxial interactions. Take each interaction (gauche CH3/CH3 and CH3/H 1,3-diaxial) as 3.8 kJ/mol. The diaxial chair is less stable than the diequatorial chair by

  1. A
  2. B
  3. C
  4. D

Answer: B

Strain of diequatorial chair = 1 x 3.8 = 3.8. Strain of diaxial chair = 4 x 3.8 = 15.2. Difference = 15.2 - 3.8 = 11.4 kJ/mol. Forgetting the gauche interaction in the diequatorial form gives 15.2.
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