The degree of unsaturation in
i. `C_(3)H_(3)Cl_(3), ii. C_(3)H_(4)O, iii. C_(4)H_(5)N` is :

Options

A. 2,1,3
B. 1,2,3
C. 3,2,1
D. 2,3,1

Explanation

To determine the degree of unsaturation for the given compounds, we can use the formula for calculating the degree of unsaturation (DU):

\[ DU = \frac{(2C + 2 + N - X - H)}{2} \]

Where:
- \(C\) = number of carbon atoms
- \(N\) = number of nitrogen atoms
- \(X\) = number of halogen atoms (like Cl, Br, etc.)
- \(H\) = number of hydrogen atoms

Now, let's calculate the degree of unsaturation for each compound step by step.

### i. For \(C_3H_3Cl_3\)

1. **Identify the number of atoms**:
- Carbon (C) = 3
- Hydrogen (H) = 3
- Halogen (Cl) = 3
- Nitrogen (N) = 0 (not present)

2. **Substitute into the formula**:
\[ DU = \frac{(2 \times 3 + 2 + 0 - 3 - 3)}{2} \]

3. **Calculate**:
- \(2 \times 3 = 6\)
- \(6 + 2 = 8\)
- \(8 - 3 - 3 = 2\)
- \(\frac{2}{2} = 1\)

**Degree of Unsaturation for \(C_3H_3Cl_3\) is 1.**

### ii. For \(C_3H_4O\)

1. **Identify the number of atoms**:
- Carbon (C) = 3
- Hydrogen (H) = 4
- Oxygen (O) = 1 (not counted in the formula)
- Nitrogen (N) = 0 (not present)
- Halogen (X) = 0 (not present)

2. **Substitute into the formula**:
\[ DU = \frac{(2 \times 3 + 2 + 0 - 0 - 4)}{2} \]

3. **Calculate**:
- \(2 \times 3 = 6\)
- \(6 + 2 = 8\)
- \(8 - 4 = 4\)
- \(\frac{4}{2} = 2\)

**Degree of Unsaturation for \(C_3H_4O\) is 2.**

### iii. For \(C_4H_5N\)

1. **Identify the number of atoms**:
- Carbon (C) = 4
- Hydrogen (H) = 5
- Nitrogen (N) = 1
- Halogen (X) = 0 (not present)

2. **Substitute into the formula**:
\[ DU = \frac{(2 \times 4 + 2 + 1 - 0 - 5)}{2} \]

3. **Calculate**:
- \(2 \times 4 = 8\)
- \(8 + 2 = 10\)
- \(10 + 1 = 11\)
- \(11 - 5 = 6\)
- \(\frac{6}{2} = 3\)

**Degree of Unsaturation for \(C_4H_5N\) is 3.**

### Summary of Results:
- Degree of Unsaturation for \(C_3H_3Cl_3\) = 1
- Degree of Unsaturation for \(C_3H_4O\) = 2
- Degree of Unsaturation for \(C_4H_5N\) = 3

### Final Answer:
The degrees of unsaturation are:
- \(C_3H_3Cl_3\): 1
- \(C_3H_4O\): 2
- \(C_4H_5N\): 3