The third law of thermodynamics relates the entropy $($randomness$)$ of matter to its absolute temperature. Which of the following statements are in agreement with the third law of thermodynamics?

Check all that apply.

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As the temperature of a perfect crystal increases, the random vibrations of the molecules decrease.

In a crystalline state, there is a tendency to minimize entropy.

In a gaseous state, the entropy of the system is zero.

At absolute zero, the interatomic distance within a crystal is minimized.

At the melting point, the entropy of a system increases abruptly as the compound transforms into a liquid.

At zero degrees kelvin, substances maximize entropy.