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Q.Which has greater entropy at 400 K, N2 or NH3?

Jammu Kashmir JkboseJammu and Kashmir Board of School Education (Class 11) 2019Subjective· 1mImportance★★★★★
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NH3 has higher entropy than N2 because entropy depends on the number of ways energy can be distributed among a molecule's motions, and a more complex (more atoms, non-linear) molecule has more such ways.

Entropy (S) is a measure of the randomness or disorder of a system, which in molecular terms corresponds to the number of accessible microstates. For gas-phase molecules, this includes translational, rotational, and vibrational degrees of freedom.

  • N2 is a simple linear diatomic molecule: it has only 1 rotational degree of freedom (about an axis perpendicular to the bond) and 1 vibrational mode.
  • NH3 is a non-linear, pyramidal molecule with 4 atoms: it has 3 rotational degrees of freedom and 6 vibrational modes (3N-6 = 3x4-6 = 6). …

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