How many `1^(@)` amines are possible with molecular formula `C_(4)H_(11)N` (only structural isomers)

Options

A. 3
B. 4
C. 5
D. 6

Explanation

To determine how many 1° amines are possible with the molecular formula C₄H₁₁N, we will follow these steps:

### Step 1: Understand the structure of 1° amines
1° amines are characterized by the nitrogen atom being bonded to one carbon atom and having two hydrogen atoms attached to it. This means that the nitrogen atom has one carbon chain and two hydrogen atoms to satisfy its valency of three.

### Step 2: Calculate the degree of unsaturation
Using the formula for degree of unsaturation:
\[ \text{Degree of Unsaturation} = \frac{C + 1 - H - \text{Halogen} - N}{2} \]
For C₄H₁₁N:
- C = 4
- H = 11
- N = 1
- Halogen = 0

Substituting these values:
\[ \text{Degree of Unsaturation} = \frac{4 + 1 - 11 - 0 - 1}{2} = \frac{-7}{2} = 0 \]
This indicates that there are no double bonds, triple bonds, or rings in the structure.

### Step 3: Draw the carbon skeletons
Since we have 4 carbon atoms and the degree of unsaturation is zero, we will arrange the carbon atoms in various ways to form structural isomers.

1. **Linear structure (butane)**:
- CH₃-CH₂-CH₂-CH₂-NH₂ (Butylamine)

2. **Branched structures**:
- Isobutylamine:
- CH₃-CH(CH₃)-CH₂-NH₂
- Sec-butylamine:
- CH₃-CH₂-CH(NH₂)-CH₃
- Tert-butylamine:
- (CH₃)₃C-NH₂

### Step 4: Count the structural isomers
Now, we will count the distinct structural isomers we have identified:
1. Butylamine (linear)
2. Isobutylamine (branched)
3. Sec-butylamine (branched)
4. Tert-butylamine (branched)

### Conclusion
Thus, the total number of 1° amines possible with the molecular formula C₄H₁₁N is **4**.