Would a molecule with fewer atoms be expected to have a higher or lower entropy

Question

Would a molecule with fewer atoms be expected to have a higher or lower entropy than substance with more atoms if they are in the same state and at the same temperature? Why?

In the same state and at the same temperature, a molecule with fewer atoms would be expected to have lower entropy than a molecule with more atoms due to the fewer possible arrangements of the atoms in smaller molecule.

In the same state and at the same temperature, a molecule with fewer atoms would be expected to have lower entropy than a molecule with more atoms due to the more possible arrangements of the atoms in smaller molecule.

In the same state and at the same temperature, a molecule with fewer atoms would be expected to have higher entropy than a molecule with more atoms due to the fewer possible arrangements of the atoms in smaller molecule.

In the same state and at the same temperature, a molecule with fewer atoms would be expected to have higher entropy than a molecule with more atoms due to the more possible arrangements of the atoms in smaller molecule.

In the same state and at the same temperature, a molecule with fewer atoms would be expected to have lower entropy than a molecule with more atoms due to the fewer possible arrangements of the atoms in smaller molecule.

In the same state and at the same temperature, a molecule with fewer atoms would be expected to have lower entropy than a molecule with more atoms due to the more possible arrangements of the atoms in smaller molecule.

In the same state and at the same temperature, a molecule with fewer atoms would be expected to have higher entropy than a molecule with more atoms due to the fewer possible arrangements of the atoms in smaller molecule.

In the same state and at the same temperature, a molecule with fewer atoms would be expected to have higher entropy than a molecule with more atoms due to the more possible arrangements of the atoms in smaller molecule.

Explanation / Answer

Under the same conditions, a molecule with more atoms will have higher entropy. This is due to the fact that a molecule with more atoms will have more possible arrangements of the atoms. Moreover, there will be more molecular vibrations (translation, rotation, etc) of the atoms and these vibrations lead to higher entropy. Therefore, the correct statement is given by (a).

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