Select the correct statement(s) about entropy S

Options

A. `S_("vapour") gt S_("solid") gt S_("liquid")`
B. `S_("vapour") gt S_("liquid") gt S_("solid")`
C. `S_("vapour") lt S_("liquid") lt S_("solid")`
D. `S_("vapour") = S_("liquid") gt S_("solid")`

Explanation

To determine the correct statements about entropy (S), we need to analyze the relationship between entropy and the states of matter: gas, liquid, and solid.

### Step-by-Step Solution:

1. **Understanding Entropy**:
- Entropy is a measure of the randomness or disorder of a system. The greater the disorder, the higher the entropy.

2. **Comparing States of Matter**:
- **Gaseous State**: In gases, particles are far apart and move freely, leading to a high degree of randomness. Therefore, gases have the highest entropy.
- **Liquid State**: In liquids, particles are closer together than in gases but still have some freedom to move. This results in lower randomness compared to gases but higher than solids. Thus, liquids have moderate entropy.
- **Solid State**: In solids, particles are tightly packed in a fixed arrangement and can only vibrate in place. This results in the lowest degree of randomness and, consequently, the lowest entropy.

3. **Ranking Entropy**:
- Based on the analysis:
- Entropy of gas > Entropy of liquid > Entropy of solid
- This means that the order of entropy from highest to lowest is: gas > liquid > solid.

4. **Conclusion**:
- The correct statement regarding the comparison of entropy among the three states of matter is that the entropy of gas is greater than that of liquid, which in turn is greater than that of solid.

### Final Answer:
The correct option is that the entropy of gas > entropy of liquid > entropy of solid.