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Q1.23(ii):
Suggest the most important type of intermolecular attractive interaction in the following pairs. (ii) (I_{2}) and (CCl_{4})

Solution :

Step 1: Analysis of Molecular Species

To determine the nature of the intermolecular interaction between iodine ($I_2$) and carbon tetrachloride ($CCl_4$), we must analyze the electronic structure and polarity of both individual components.

  • Iodine ($I_2$): A homonuclear diatomic molecule consisting of two iodine atoms covalently bonded. Because both atoms have identical electronegativity ($2.66$ on the Pauling scale), the bond is purely non-polar [Per the principles of homonuclear covalent bonding].
  • Carbon Tetrachloride ($CCl_4$): A tetrahedral molecule with a central carbon atom bonded to four chlorine atoms. While individual $C-Cl$ bonds are polar due to the electronegativity difference, the high degree of molecular symmetry ($T_d$ point group) causes the individual bond dipoles to cancel each other out, resulting in a net molecular dipole moment of zero [Per the Vector Addition of Dipole Moments].

Step 2: Identification of Intermolecular Forces

Since both $I_2$ and $CCl_4$ are non-polar molecules, they lack permanent dipole moments. Interactions between such species are governed by fluctuations in electron distribution.

  • London Dispersion Forces: These forces arise from instantaneous dipoles generated by the constant motion of electrons within the electron cloud of a molecule [Per the London-Heitler theory of dispersion forces].
  • Mechanism: As an electron cloud fluctuates, a temporary dipole is created, which in turn induces a dipole in the neighboring molecule, resulting in an attractive force between the induced dipoles.

Step 3: Visual Representation of Induced-Dipole Interaction

I I Non-polar I2 London Forces CCl4 Non-polar CCl4

Step 4: Theoretical Synthesis

The solubility of iodine in carbon tetrachloride is explained by the principle of "like dissolves like," which is predicated on the similarity of the intermolecular forces present in both substances. In this mixture, the interaction between the solute ($I_2$) and the solvent ($CCl_4$) is of the same nature as the forces existing between the individual molecules themselves.

Interaction Type Applicability to $I_2$ and $CCl_4$
Dipole-Dipole Not applicable (non-polar species)
Dipole-Induced Dipole Not applicable (no permanent dipole present)
London Dispersion Forces Dominant and present

Final Solution: The most important type of intermolecular attractive interaction in the pair ($I_2$) and ($CCl_4$) is London dispersion forces.


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