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UPSC Civil Services (Mains)

Chemistry optional

  • 2 papers
  • 250 marks each
  • 3 h per paper
  • 5 of 8 questions, Q1 and Q5 compulsory

Paper I covers physical and inorganic chemistry.

UPSC Civil Services (Mains), Chemistry optional · 2019 · Paper I

Q2(a). Dipole moments of NOF and NO₂F; resonance in NO₂F

  • 20 marks
  • Answered
Question

Of the two compounds NOF and NO₂F, one has a resultant dipole moment of μ=1.81 D, and the other, μ=0.47 D. Which dipole moment do you predict for each compound? Explain.
Also write resonance structures of NO₂F and identify the dominant structure.

Answer in brief

NOF: 1.81 D; NO₂F: 0.47 D. In bent NOF the bond moments and the N lone pair reinforce; in planar NO₂F the two N–O moments oppose the N–F moment. The dominant forms of NO₂F are the two equivalent structures F–N⁺(=O)–O⁻.

Key points

  • O=N–F, N has one lone pair and two bonding regions, so the molecule is bent, like NO₂⁻.
  • N has three bonding regions and no lone pair: trigonal planar, isoelectronic with NO₃⁻ and BF₃-shaped, with one O replaced by F.
  • the N=O and N–F bond moments point towards O and F, both on the same side of N. Their vector sum is large and the lone pair adds its own moment; nothing cancels.
  • the two N–O bond moments lie at about 120° and their resultant points along the C₂ axis away from F; the N–F moment points along the same axis towards F. The two nearly cancel, leaving a small net moment.

The full model answer

Written out in full, as it should go in the answer booklet. The solution page with its diagrams follows it.

Shapes (VSEPR)

  1. NOF (18 valence electrons): O=N–F, N has one lone pair and two bonding regions, so the molecule is bent, like NO₂⁻.
  2. NO₂F (24 valence electrons): N has three bonding regions and no lone pair: trigonal planar, isoelectronic with NO₃⁻ and BF₃-shaped, with one O replaced by F.

Assigning the moments

  1. NOF, 1.81 D: the N=O and N–F bond moments point towards O and F, both on the same side of N. Their vector sum is large and the lone pair adds its own moment; nothing cancels.
  2. NO₂F, 0.47 D: the two N–O bond moments lie at about 120° and their resultant points along the C₂ axis away from F; the N–F moment points along the same axis towards F. The two nearly cancel, leaving a small net moment.
  3. The cancellation is incomplete because N–O and N–F bonds differ in polarity and length; it would be exact only if all three bonds were alike, as in BF₃ or NO₃⁻. The planar symmetry, not the size of any one bond moment, decides the low value.

Resonance structures of NO₂F

COUNT24 valence electronsRULESoctets, fewest charges, - on ODOMINANTI and II (equal)

  1. I and II: F–N single, one N=O and one N–O⁻; formal charges N +1, single-bonded O -1, F 0. Every atom has an octet and the negative charge sits on the electronegative O. These two equivalent forms are dominant; their average gives two equal N–O bonds (order 1.5).
  2. III: F=N⁺ with both O single-bonded: three formal charges and a positive charge on F, the most electronegative element. Minor.
  3. IV: no-bond ionic form F⁻ [O=N=O]⁺ (nitronium fluoride). It contributes a little and explains why the N–F bond is long and weak, and why NO₂F acts as a fluoride donor towards Lewis acids, giving NO₂⁺ salts.

Application. the same vector-sum argument fixes the shape of a molecule from its dipole moment: μ=0 for BF₃, CO₂ and SF₆ shows symmetric shapes, while a non-zero μ for SO₂, H₂O and NOF shows bent ones.

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Model answer to Q2(a), 2019 Paper I: solution page 8
Solution page 8 of 40

All parts of Question 2