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Q9.9:
Draw the cis and trans structures of hex-2-ene. Which isomer will have higher b.p. and why?

Solution :

Step 1: Structural Representation of Hex-2-ene

The molecular formula for hex-2-ene is $C_6H_{12}$. The chain length is six carbon atoms, with a double bond between the second and third carbon atoms ($CH_3-CH=CH-CH_2-CH_2-CH_3$). Geometrical isomerism arises due to restricted rotation about the $C=C$ double bond [Per the Cahn-Ingold-Prelog priority rules and the concept of restricted rotation].

Cis-hex-2-ene $CH_3$ $CH_2CH_2CH_3$ $H$ $H$ Trans-hex-2-ene $CH_3$ $CH_2CH_2CH_3$ $H$ $H$

Step 2: Analysis of Dipole Moments and Intermolecular Forces

The boiling point of an isomer is fundamentally governed by the strength of intermolecular forces, primarily dipole-dipole interactions and London dispersion forces.

  • Cis-isomer: In the cis configuration, the alkyl groups ($CH_3$ and $C_3H_7$) are on the same side of the double bond. This arrangement results in a net molecular dipole moment because the bond polarities of the $C-C$ bonds do not cancel out [Based on Vector Addition of Dipole Moments].
  • Trans-isomer: In the trans configuration, the alkyl groups are on opposite sides. Due to the symmetrical nature of the molecule, the individual bond dipoles tend to cancel each other out, resulting in a net dipole moment close to zero.

Step 3: Boiling Point Comparison

Isomer Polarity Intermolecular Force
Cis-hex-2-ene Polar Stronger dipole-dipole interactions
Trans-hex-2-ene Non-polar (or weakly polar) Weaker dipole-dipole interactions

Because the cis-isomer possesses a net dipole moment, it experiences stronger dipole-dipole attractive forces between its molecules compared to the trans-isomer. Consequently, a greater amount of thermal energy is required to overcome these forces to transition from the liquid phase to the gas phase.

Final Solution: The cis-hex-2-ene isomer has a higher boiling point than the trans-hex-2-ene isomer because the cis-isomer is polar, leading to stronger intermolecular dipole-dipole attractions, whereas the trans-isomer is non-polar and relies primarily on weaker London dispersion forces.


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