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any spontaneous process, the entropy of the system increases. All spontaneous processes are accompanied by a decrease in free

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e) at 45 ℃ and in a volume of 2.5 litre.

Because , in this option both temperature and volume are small , as compared to other options.

As, when volume and temperature are Small , entropy must be small .

Changes in volume will lead to changes in entropy. The larger the volume the more ways there are to distribute the molecules in that volume; the more ways there are to distribute the molecules (energy), the higher the entropy. An increase in volume will increase the entropy.

If you increase temperature, you increase entropy.

(1) More energy put into a system excites the molecules and the amount of random activity.

(2) As a gas expands in a system, entropy increases. This one is also easy to visualize. If an atom has more space to bounce around, it will bounce more. Gases and plasmas have large amounts of entropy when compared to liquids and solids.

(3) When a solid becomes a liquid, its entropy increases.

(4) When a liquid becomes a gas, its entropy increases.

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