Arrange the oxides of nitrogen in increasing order of oxidation state of N from +1 to +5.

Options

A. `N_(2)O lt N_(2)O_(3) lt NO_(2) lt N_(2)O_(5) lt NO`
B. `N_(2)O lt NO lt N_(2)O_(3) lt NO_(2) lt N_(2)O_(5)`
C. `N_(2)O_(5) lt NO_(2) lt N_(2)O_(3) lt NO lt N_(2)O`
D. `NO lt N_(2)O lt NO_(2) lt N_(2)O_(3) lt N_(2)O_(5)`

Explanation

To solve the question of arranging the oxides of nitrogen in increasing order of oxidation state of nitrogen from +1 to +5, we will first identify the oxidation states of nitrogen in each oxide. The common oxides of nitrogen include NO, N2O, N2O3, NO2, and N2O5.

### Step-by-step Solution:

1. **Identify the Oxides of Nitrogen**:
The common oxides of nitrogen we will consider are:
- NO (Nitric oxide)
- N2O (Dinitrogen monoxide)
- N2O3 (Dinitrogen trioxide)
- NO2 (Nitrogen dioxide)
- N2O5 (Dinitrogen pentoxide)

2. **Calculate the Oxidation State of Nitrogen in Each Oxide**:
- **NO**:
- Let the oxidation state of N be \( x \).
- The equation is \( x + (-2) = 0 \) (since O has an oxidation state of -2).
- Solving gives \( x = +2 \).
- **N2O**:
- Let the oxidation state of N be \( x \).
- The equation is \( 2x + (-2) = 0 \).
- Solving gives \( 2x = +2 \) → \( x = +1 \).
- **N2O3**:
- Let the oxidation state of N be \( x \).
- The equation is \( 2x + 3(-2) = 0 \).
- Solving gives \( 2x - 6 = 0 \) → \( 2x = +6 \) → \( x = +3 \).
- **NO2**:
- Let the oxidation state of N be \( x \).
- The equation is \( x + 2(-2) = 0 \).
- Solving gives \( x - 4 = 0 \) → \( x = +4 \).
- **N2O5**:
- Let the oxidation state of N be \( x \).
- The equation is \( 2x + 5(-2) = 0 \).
- Solving gives \( 2x - 10 = 0 \) → \( 2x = +10 \) → \( x = +5 \).

3. **List the Oxides with their Oxidation States**:
- NO: +2
- N2O: +1
- N2O3: +3
- NO2: +4
- N2O5: +5

4. **Arrange in Increasing Order of Oxidation State**:
- The increasing order of oxidation states is:
- N2O (+1)
- NO (+2)
- N2O3 (+3)
- NO2 (+4)
- N2O5 (+5)

### Final Answer:
The increasing order of the oxides of nitrogen based on the oxidation state of nitrogen is:
**N2O < NO < N2O3 < NO2 < N2O5**