A : Dissolution of sugar in water proceed via increases in entropy
R: Entropy decreases when egg is hard boiled.

Options

A. If both Assertion & Reason are true and the reason is the correct explanation of the assertion , then mark (1)
B. If both Assertion & Reason are true and the reason is not the correct explanation of the assertion, then mark (2)
C. If Assertion is true statement but Reason is false, then mark (3)
D. If both Assertion is true statement but Reason is false, then mark (3)

Answer

To analyze the given statements, we will break down the assertion (A) and the reason (R) step by step.

### Step 1: Understanding the Assertion (A)
**Assertion:** "Dissolution of sugar in water proceeds via increases in entropy."

- When sugar is added to water, the sugar molecules interact with water molecules.
- The strong intermolecular forces (like hydrogen bonds) between sugar molecules are overcome, and the sugar molecules disperse throughout the water.
- This process leads to an increase in the disorder of the system because the sugar molecules are now spread out rather than being in a solid state.
- Therefore, the dissolution of sugar in water results in an increase in entropy.

### Step 2: Understanding the Reason (R)
**Reason:** "Entropy decreases when an egg is hard-boiled."

- When an egg is raw, the proteins (like albumin) are in a complex, folded structure.
- Upon boiling, these proteins denature, meaning they unfold and lose their structured form.
- This unfolding increases the randomness of the protein molecules, leading to a higher degree of disorder in the system.
- Thus, the entropy actually increases when an egg is hard-boiled, contrary to the statement provided.

### Step 3: Conclusion
- The assertion (A) is true because the dissolution of sugar in water does lead to an increase in entropy.
- The reason (R) is false because boiling an egg increases the entropy, not decreases it.

### Final Answer
- **Assertion (A) is true, and Reason (R) is false.**