Match the transformation in colums I with appropriate options in column II.
`{:("Column I" ,"Column II"),((A)CO_(2)(s) rarr CO_(2)(g),(p)"phase transition"),((B)CaCO_(3)(s)rarr CaO(s) + CO_(2)(g) ,(q)"allotropic change"),((C)2H.rarrH_(2)(g),(r)DeltaH "is positive"),((D)P_(("white, solid"))rarr P_(("red,solid")),(s)DeltaS "is positive"),(,(t) DeltaS "is negative"):}`

Explanation

To match the transformations in Column I with the appropriate options in Column II, we will analyze each transformation step by step.

### Step-by-Step Solution:

1. **Transformation A: CO₂(s) → CO₂(g)**
- This transformation involves the conversion of solid carbon dioxide (dry ice) to gaseous carbon dioxide.
- This is a **phase transition** (from solid to gas).
- Since heat is absorbed in this process, **ΔH is positive** (endothermic).
- The randomness of the system increases as solid particles become gas particles, so **ΔS is positive**.
- **Match:** A → (p), (r), (s)

2. **Transformation B: CaCO₃(s) → CaO(s) + CO₂(g)**
- This is a decomposition reaction where solid calcium carbonate decomposes into solid calcium oxide and gaseous carbon dioxide.
- Heat must be supplied for this reaction to occur, so **ΔH is positive**.
- The formation of gas from a solid increases randomness, hence **ΔS is positive**.
- **Match:** B → (q), (r), (s)

3. **Transformation C: 2H⁺ + 2e⁻ → H₂(g)**
- This reaction involves the formation of hydrogen gas from hydrogen ions and electrons.
- The reactants (2H⁺ and 2e⁻) are more random compared to the product (H₂), indicating a decrease in randomness, so **ΔS is negative**.
- **Match:** C → (t)

4. **Transformation D: P (white solid) → P (red solid)**
- This transformation involves the change of white phosphorus to red phosphorus.
- Heat is required for this transformation, so **ΔH is positive**.
- Since both forms are solids, there is no significant change in randomness, but it is an **allotropic change**.
- **Match:** D → (q)

### Final Matches:
- A → (p), (r), (s)
- B → (q), (r), (s)
- C → (t)
- D → (q)