Which of the following statements are correct for butadiene
`overset(4)CH_(2)=overset(3)CH-overset(2)CH=overset(1)CH_(2)`
(1) The `C_(1)-C_(2) and C_(3)-C_(4)` bonds are longer than a carbon double bond.
(2) The `C_(1)-C_(2) and C_(3)-C_(4)` bonds are shorter than a carbon - carbon double bond.
(3) The `C_(2)-C_(3)` bond is slightly shorter than a carbon - carbon single bond.
(4) The `C_(2)-C_(3)` bond is slightly longer than a carbon - carbon double bond.

Options

A. 1, 2
B. 2, 3
C. 1, 3
D. 3, 4

Answer

To analyze the statements regarding butadiene, we first need to understand the structure of butadiene and the nature of its bonds.

### Step 1: Identify the structure of butadiene
Butadiene has the following structure:
```
H H
| |
H--C=C--C=C--H
| |
H H
```
This can be represented as CH2=CH-CH=CH2.

### Step 2: Analyze the bonds in butadiene
1. **C1-C2 and C3-C4 bonds**: These are the double bonds in butadiene. The bonds are C=C, which are shorter than single bonds (C-C) due to the presence of pi bonds.
2. **C2-C3 bond**: This bond is a single bond (C-C) but is influenced by the adjacent double bonds. The presence of conjugation (the alternating double bonds) can slightly affect the bond length.

### Step 3: Evaluate the statements
1. **Statement 1**: "The C1-C2 and C3-C4 bonds are longer than a carbon double bond."
- **Evaluation**: This statement is **incorrect** because C1-C2 and C3-C4 are double bonds, which are shorter than single bonds.

2. **Statement 2**: "The C1-C2 and C3-C4 bonds are shorter than a carbon-carbon double bond."
- **Evaluation**: This statement is **incorrect** for the same reason as above; they are double bonds, so they cannot be shorter than themselves.

3. **Statement 3**: "The C2-C3 bond is slightly shorter than a carbon-carbon single bond."
- **Evaluation**: This statement is **correct**. The C2-C3 bond is influenced by the adjacent double bonds, making it slightly shorter than a typical C-C single bond.

4. **Statement 4**: "The C2-C3 bond is slightly longer than a carbon-carbon double bond."
- **Evaluation**: This statement is **incorrect**. The C2-C3 bond is not longer than a double bond; it is influenced by the presence of double bonds nearby, making it shorter than a typical single bond but longer than a double bond.

### Conclusion
From the evaluations, the correct statements regarding butadiene are:
- **Correct Statement**: (3) The C2-C3 bond is slightly shorter than a carbon-carbon single bond.