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College Physics: How to calculate the translational kinetic energy, rotational kinetic energy and total kinetic energy of an ideal gas? How to judge freedom? What is the molar heat capacity ratio?
The internal energy change of matter Δ u = c Δ t

Rigid molecules have only three translational degrees of freedom and two rotational degrees of freedom, and the specific heat capacity C=5R/2.

Non-rigid molecules have three translational degrees of freedom, two vibrational degrees of freedom and two rotational degrees of freedom, and the specific heat capacity is 7R/2.

According to the equipartition theorem of energy, the energy of each degree of freedom can be obtained.

Energy kT/2 of one degree of freedom. For example, in the question (1), the translational kinetic energy is 3NkT/2, and the internal energy is 5NkT/2.