Match the entries of column I with appropriate entries of column II and choose the correct option out of the four options given.
`{:("Column I (Substance)","Column II (Solubility)"),("(A) "Li_(2)CO_(3),"(p) Increases continuously with increase of temperature"),("(B) KCl","(q) Decreases continuously with increase of temperature"),("(C) "Na_(2)SO_(4).10H_(2)O,"(r) First increases and then decreases"),("(D) "NH_(4)NO_(3),"(s) Increases but not continuously"):}`

Options

A. A-s, B-r, C-p, D-q
B. A-r, B-s, C-q, D-p
C. A-p, B-q, C-r, D-s
D. A-q, B-p, C-r, D-s

Answer

To solve the problem of matching the substances in Column I with their corresponding solubility behaviors in Column II, we will analyze each substance and determine the correct match based on their solubility characteristics.

### Step-by-Step Solution:

1. **Identify the substances and their solubility characteristics:**
- (A) Li₂CO₃
- (B) KCl
- (C) Na₂SO₄·10H₂O
- (D) NH₄NO₃

2. **Analyze the solubility of each substance:**
- **(A) Li₂CO₃:** The solubility of lithium carbonate typically increases with temperature. Thus, it matches with (p) "Increases continuously with increase of temperature."

- **(B) KCl:** Potassium chloride is a strong electrolyte, and its solubility also increases with temperature. Therefore, it matches with (p) "Increases continuously with increase of temperature."

- **(C) Na₂SO₄·10H₂O:** The solubility of sodium sulfate decahydrate initially increases with temperature but then decreases after reaching a certain point due to the loss of water of crystallization. This matches with (r) "First increases and then decreases."

- **(D) NH₄NO₃:** Ammonium nitrate's solubility increases but not continuously; it has a specific solubility behavior that can be influenced by temperature changes. This matches with (s) "Increases but not continuously."

3. **Match the entries:**
- (A) Li₂CO₃ → (p) Increases continuously with increase of temperature
- (B) KCl → (p) Increases continuously with increase of temperature
- (C) Na₂SO₄·10H₂O → (r) First increases and then decreases
- (D) NH₄NO₃ → (s) Increases but not continuously

4. **Final Matching:**
- A - p
- B - p
- C - r
- D - s

5. **Choose the correct option:**
- The correct option that matches these entries is option number 4.

### Summary of Matches:
- (A) Li₂CO₃ → (p)
- (B) KCl → (p)
- (C) Na₂SO₄·10H₂O → (r)
- (D) NH₄NO₃ → (s)