Nitrogen forms largest number of oxides in which oxidation state of nitrogen varies from +1 to +5 `N_(2)O,NO,N_(2)O_(3),N_(2)O_(4) and N_(2)O_(5)` respectively. The largest number of oxides are formed due to capability of forming stable multiple bonds by nitrogen with oxygen.
Q. Which of the following statements is/are correct regarding oxides of nitrogen?

Options

A. Dinitrogen trioxide dissolves in KOH forming potassium nitrate
B. Aqueous solution by nitrogen dioxide behave both as a reducing an as an oxidising agent
C. Nitrous oxide is fairly soluble in cold water and turns blue litmus red
D. Nitrogen dioxide is soluble in water to form nitric acid only

Answer

To determine which statements regarding the oxides of nitrogen are correct, we will analyze each statement one by one based on the information provided about nitrogen oxides.

### Step-by-Step Solution:

1. **Statement 1: Dinitrogen trioxide dissolves in KOH forming potassium nitrate.**
- Dinitrogen trioxide (N₂O₃) reacts with potassium hydroxide (KOH) to form potassium nitrite (KNO₂) and water. The reaction is:
\[ N_2O_3 + 2 KOH \rightarrow 2 KNO_2 + H_2O \]
- Since the statement claims it forms potassium nitrate (KNO₃), this statement is **incorrect**.

2. **Statement 2: Aqueous solution of nitrogen dioxide behaves both as a reducing and as an oxidizing agent.**
- Nitrogen dioxide (NO₂) in an aqueous solution can form nitrous acid (HNO₂) and nitric acid (HNO₃):
\[ 2 NO_2 + H_2O \rightarrow HNO_2 + HNO_3 \]
- In this reaction, nitrogen goes from +4 in NO₂ to +3 in HNO₂ (reduction) and +5 in HNO₃ (oxidation). Therefore, NO₂ can act as both a reducing agent and an oxidizing agent. This statement is **correct**.

3. **Statement 3: Nitrous oxide is fairly soluble in cold water and turns blue litmus to red.**
- Nitrous oxide (N₂O) is a neutral oxide and does not exhibit acidic properties. Therefore, it will not turn blue litmus paper red. This statement is **incorrect**.

4. **Statement 4: Nitrogen dioxide is soluble in water to form nitric acid only.**
- As previously mentioned, nitrogen dioxide reacts with water to form both nitrous acid (HNO₂) and nitric acid (HNO₃). Thus, the statement that it forms nitric acid only is **incorrect**.

### Conclusion:
The only correct statement regarding the oxides of nitrogen is **Statement 2**.

### Summary of Correctness:
- Statement 1: Incorrect
- Statement 2: Correct
- Statement 3: Incorrect
- Statement 4: Incorrect