Arrange the following molecules in order of increasing dipole moment

Arrange the following molecules in order of increasing dipole moment:

H2O
H2S
CBr4
NH3
CO2
HF

The correct answer and explanation is :

The correct order of increasing dipole moment is:

CBr₄ < CO₂ < H₂S < NH₃ < H₂O < HF

Explanation:

The dipole moment ((\mu)) of a molecule depends on:

  1. Electronegativity Difference: The greater the difference in electronegativity between atoms, the larger the dipole moment.
  2. Molecular Geometry: The shape of the molecule determines whether individual bond dipoles cancel out or add up to create a net dipole.

Analysis of Each Molecule:

  1. CBr₄ (Carbon Tetrabromide) – μ = 0 D
  • Reason: It has a tetrahedral structure with four C–Br bonds that are symmetrically arranged. The individual bond dipoles cancel out, making it a nonpolar molecule with zero dipole moment.
  1. CO₂ (Carbon Dioxide) – μ = 0 D
  • Reason: It has a linear structure, and the two polar C=O bonds cancel each other out, making CO₂ a nonpolar molecule.
  1. H₂S (Hydrogen Sulfide) – μ ≈ 0.95 D
  • Reason: H₂S is bent like H₂O, but sulfur is less electronegative than oxygen (O = 3.5, S = 2.5), so its dipole moment is smaller than that of H₂O.
  1. NH₃ (Ammonia) – μ ≈ 1.47 D
  • Reason: NH₃ has a trigonal pyramidal structure due to lone pair repulsion. The N-H bonds do not cancel out, resulting in a net dipole.
  1. H₂O (Water) – μ ≈ 1.85 D
  • Reason: H₂O has a bent shape and a large electronegativity difference (O = 3.5, H = 2.1), leading to a higher dipole moment than NH₃.
  1. HF (Hydrogen Fluoride) – μ ≈ 1.91 D
  • Reason: HF has the largest electronegativity difference (F = 4.0, H = 2.1), resulting in the highest dipole moment among these molecules.
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