Question

the degree of freedom for N particles in space are​

Answer 1

Explanation:

3n degrees

So a system of n free particles in a three- dimensional space has 3n degrees of freedom, because three coordinates are needed to specify the location of the center of mass of each particle.

Answer 2

Answer:

The degree of freedom of N particles in the space will be equal to 3N.

Explanation:

• The number of coordinates needed to specify the position of all points (atoms) in a molecules is called the degree of freedom of that molecule.
• The position of each mass point is defined by coordinates x, y and z. To specify the position of N atoms, we need 3N coordinates and the molecule has 3N degree of freedom.

• The kinetic energy of a molecule is due to translational motion and internal motion i.e. rotational and vibrational motion.
• Three degree of freedom attributed to translational motion while 3N-3 is attributed to rotational as well as vibrational motion.
• Rotational degree of freedom, for linear molecule will be 3 while 2 for non-linear molecules.
• Vibrational degree of freedom will be 3N-5 for linear molecules and 3N-6 for non linear molecules.