which of the following case entropy increases

Options

A. boiling of an egg
B. crystallization of sugar from solution
C. freezing of water
D. stretching of rubber

Answer

To determine which of the given cases results in an increase in entropy, we need to analyze each option based on the concept of entropy, which is a measure of the randomness or disorder of a system. Here’s a step-by-step breakdown of the options provided:

### Step 1: Understand Entropy
- **Definition**: Entropy (S) is a measure of the disorder or randomness in a system. Higher entropy indicates greater disorder and more ways to arrange the particles in the system.

### Step 2: Analyze Each Option
1. **Boiling of an Egg**:
- When an egg is boiled, the water (liquid) turns into steam (vapor).
- **Phase Change**: Liquid → Gas
- **Entropy Change**: The gas phase has higher entropy than the liquid phase because gas particles are more spread out and can move more freely.
- **Conclusion**: **Entropy increases**.

2. **Crystallization of Sugar from Solution**:
- In this process, sugar (dissolved in liquid) forms solid sugar crystals.
- **Phase Change**: Liquid → Solid
- **Entropy Change**: The solid phase has lower entropy than the liquid phase because the particles in a solid are more ordered and have less freedom of movement.
- **Conclusion**: **Entropy decreases**.

3. **Freezing of Water**:
- Water (liquid) freezes to become ice (solid).
- **Phase Change**: Liquid → Solid
- **Entropy Change**: Similar to crystallization, the solid has lower entropy than the liquid due to the ordered structure of ice.
- **Conclusion**: **Entropy decreases**.

4. **Stretching of Rubber**:
- When rubber is stretched, the molecular chains become more aligned and restricted.
- **Entropy Change**: The randomness of the rubber molecules decreases as they are forced into a more ordered state.
- **Conclusion**: **Entropy decreases**.

### Step 3: Final Conclusion
- Among the options analyzed, the only case where entropy increases is the **boiling of an egg**.

### Answer:
**The correct option is: Boiling of an egg (Entropy increases).**

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