Physics, asked by ZoomSTER8726, 1 year ago

Kinetic and potential energy of a system in terms of degree of freedom

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Answered by Humanoid
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The energy of a thermodynamic system that is NOT either the kinetic energy or gravitational potential energy of the system as a whole is known as Internal Energy.

The internal energy is associated with the internal degrees of freedom of the system.

For an Ideal Gas, the internal energy is only a function of the gas temperature and is a measure of the mean translational kinetic energy of the gas atoms. These atoms have three translational degrees of freedom, each of which has a mean translational kinetic energy of kT, where k is Boltzman's constant = 1.381 x 10 -23 J/ K. For a mole of gas, there are N atoms (Avogardro's number = 6.022 x 10 23 /mole) and so the internal energy per mole of gas, u, is: u = 3NkT/2 = (3/2) RT , where R is the Gas Constant = 8.314 J/mole.K

For real molecular gases additional degrees of freedom must be considered. Each of the independent translational, rotational and vibrational modes of the syste

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