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The total number of degrees of freedom of an HBr molecule that is constrained to translate along a straight line but does not have any constraints for its rotation and vibration is
  • a)
    6
  • b)
    5
  • c)
    4
  • d)
    3
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The total number of degrees of freedom of an HBr molecule that is cons...
  • The total degree of freedom of a molecule is 3N where N refers to its atomicity.
  • Ideally, it should be 6 (∵ HBr is a diatomic linear molecule).
  • But it is constrained to move along a straight line (i.e. assuming that it can move only along one axis).
  • Therefore, the total translational degree of freedom would be 1.
  • Hence, overall it would be 4.
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Community Answer
The total number of degrees of freedom of an HBr molecule that is cons...
Total degrees of freedom in a molecule refer to the number of ways in which it can move or vibrate. These degrees of freedom can be divided into three categories:

1. Translational degrees of freedom: These refer to the number of ways in which the molecule can move as a whole in space. A molecule that is constrained to translate along a straight line has one translational degree of freedom.

2. Rotational degrees of freedom: These refer to the number of ways in which the molecule can rotate in space. Since the HBr molecule is not constrained in its rotation, it has two rotational degrees of freedom.

3. Vibrational degrees of freedom: These refer to the number of ways in which the bonds between the atoms in the molecule can stretch or bend. HBr is a diatomic molecule, which means it has only one bond between the two atoms. Therefore, it has only one vibrational degree of freedom.

Adding up the translational, rotational, and vibrational degrees of freedom gives us a total of four degrees of freedom for the HBr molecule.
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