In which of the following change entropy decreases?

Options

A. Crystallization of sucrose from solution
B. Dissolving sucrose in water
C. Melting of ice
D. Vaporization of camphor

Answer

To determine in which of the following changes entropy decreases, we need to analyze each option based on the concept of entropy as a measure of disorder or randomness in a system.

### Step-by-Step Solution:

1. **Understanding Entropy**:
- Entropy is a measure of the disorder or randomness of a system. Higher entropy indicates greater disorder, while lower entropy indicates more order.

2. **Comparing States of Matter**:
- Gases have the highest entropy due to their high degree of randomness.
- Liquids have moderate entropy.
- Solids have the lowest entropy because their particles are closely packed and have limited movement.

3. **Analyzing Each Option**:
- **Option 1: Crystallization of sucrose from solution**:
- This process involves the transition from a liquid state (solution) to a solid state (crystal).
- Since solids have lower entropy than liquids, the entropy decreases in this process.

- **Option 2: Dissolving sucrose in water**:
- This process involves the transition from a solid state (sucrose) to a liquid state (solution).
- Here, the entropy increases because the solid (which has lower entropy) is becoming a liquid (which has higher entropy).

- **Option 3: Melting of ice**:
- This process involves the transition from a solid state (ice) to a liquid state (water).
- The entropy increases as the solid (ice) becomes a liquid (water).

- **Option 4: Vaporization of camphor**:
- This process involves the transition from a solid state (camphor) to a gaseous state.
- The entropy increases because gases have the highest entropy compared to solids.

4. **Conclusion**:
- The only process where entropy decreases is **the crystallization of sucrose from solution** (Option 1).

### Final Answer:
The change in which entropy decreases is **the crystallization of sucrose from solution**.

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