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JEE Advanced levelOne or more correct optionsDifficulty 3 of 3st161

Relative to the chair (0), the twist-boat of cyclohexane is 23.0 kJ/mol and the boat 30.0 kJ/mol higher. Use Boltzmann statistics at 298 K with and ignore degeneracy factors. Select the correct statements.

  1. AThe twist-boat : chair population ratio at 298 K is about
  2. BThe boat : chair population ratio at 298 K is about
  3. CAt 298 K the boat is more populated than the twist-boat
  4. DThe boat is the energy maximum between two twist-boat forms and so is a transition state for twist-boat interconversion

Answer: A, B, D

Twist-boat/chair = and boat/chair = , so A and B are true. The boat is higher in energy than the twist-boat and therefore less populated (C false). The boat lies at an energy maximum between two twist-boat minima, so D is true.
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