`{:("Column I","Column II"),((A)2NO_(2)overset("Cool")to,(p)"One of the products is a mixed anhydride ." ),((B)CIO_(2)+O_(3)overset(H^(+))to,(q)"One of the products is an acidic oxide."),((C)K_(4)[Fe(CN)_(6)]+H_(2)SO_(4)("conc".)+H_(2)Ooverset(Delta)to,(r)"The oxidation state of the central atom of one of the products is +6."),((D)KOH+O_(3)to,(s)"One of the products is a colourless paramagnetic gas".):}`

Explanation

To solve the problem, we need to match the reactions in Column I with their corresponding characteristics in Column II. Let's analyze each reaction step-by-step.

### Step 1: Analyze Reaction A
**Reaction:** \(2NO_2 \overset{\text{Cool}}{\rightarrow}\)

- **Products:** The reaction of \(NO_2\) at lower temperatures leads to the formation of \(N_2O_4\).
- **Characteristic:** \(N_2O_4\) can be considered a mixed anhydride of nitrous acid (\(HNO_2\)) and nitric acid (\(HNO_3\)) when water is removed.

**Match:** A matches with P ("One of the products is a mixed anhydride").

### Step 2: Analyze Reaction B
**Reaction:** \(ClO_2 + O_3 \overset{H^+}{\rightarrow}\)

- **Products:** In acidic medium, this reaction produces \(Cl_2O_6\) and oxygen gas.
- **Characteristic:** \(Cl_2O_6\) is a mixed anhydride of \(HClO_3\) and \(HClO_4\), and it also acts as an acidic oxide.

**Match:** B matches with P ("One of the products is a mixed anhydride") and Q ("One of the products is an acidic oxide"). Additionally, the oxidation state of chlorine in \(Cl_2O_6\) is +6, so it also matches R. The oxygen gas produced is colorless and paramagnetic, matching S.

### Step 3: Analyze Reaction C
**Reaction:** \(K_4[Fe(CN)_6] + H_2SO_4 (\text{conc}) + H_2O \overset{\Delta}{\rightarrow}\)

- **Products:** This reaction produces \(K_2SO_4\), \(FeSO_4\), and carbon monoxide (\(CO\)).
- **Characteristic:** The oxidation state of iron in \(FeSO_4\) is +2, while sulfur in \(K_2SO_4\) is +6.

**Match:** C matches with R ("The oxidation state of the central atom of one of the products is +6"). The other characteristics (P, Q, S) do not apply as \(CO\) is a neutral oxide and diamagnetic.

### Step 4: Analyze Reaction D
**Reaction:** \(KOH + O_3 \rightarrow\)

- **Products:** This reaction produces \(K_2O_3\) (potassium superoxide), oxygen, and water.
- **Characteristic:** The product \(O_2\) is a colorless and paramagnetic gas.

**Match:** D matches with S ("One of the products is a colorless paramagnetic gas"). The other characteristics (P, Q, R) do not apply.

### Final Matches
- A matches with P
- B matches with P, Q, R, S
- C matches with R
- D matches with S

### Summary of Matches
- A → P
- B → P, Q, R, S
- C → R
- D → S