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How many normal modes of vibrations are possible for nitrobenzene molecule ?

  • A.36
  • B.31
  • C.09
  • D.14

Answer: A

Nitrobenzene has 36 normal modes.

A non-linear molecule of N atoms has 3N − 6 vibrational modes. Nitrobenzene, C6H5NO2, has 6 + 5 + 1 + 2 = 14 atoms:

\[ 3(14) - 6 = 42 - 6 = 36 \]

14 is just the number of atoms, and 31 and 9 correspond to no standard count for a 14-atom non-linear molecule.

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