Which of the following statements is CORRECT for
`F_(3)C-CF_2-CF_(3)`

Options

A. All C-F bond lengths are identical
B. Two C-F bonds attached to middle C-atoms are longer compared to other C-F bond at the terminal C-atoms
C. Two C-F bonds attached to middle C-atom are shorter comparted to other C-F bond at ther terminal C-atoms
D. None is correct

Answer

To determine the correct statement regarding the compound \( F_3C-CF_2-CF_3 \), we will analyze the structure and bonding of the carbon-fluorine (C-F) bonds in the compound step by step.

### Step-by-Step Solution:

1. **Identify the Structure**:
The compound \( F_3C-CF_2-CF_3 \) consists of three carbon atoms, with the first carbon (\( C_1 \)) bonded to three fluorine atoms (\( F_3 \)), the second carbon (\( C_2 \)) bonded to two fluorine atoms (\( CF_2 \)), and the third carbon (\( C_3 \)) bonded to three fluorine atoms (\( F_3 \)).

2. **Determine Hybridization**:
Each carbon atom in the compound forms four sigma bonds. Since there are no double or triple bonds present, we can conclude that:
- Each carbon is \( sp^3 \) hybridized because \( sp^3 \) hybridization occurs when a carbon atom forms four single sigma bonds.

3. **Analyze the C-F Bonds**:
Since all carbon atoms are \( sp^3 \) hybridized, the C-F bonds are formed using the \( sp^3 \) hybridized orbitals of the carbon atoms. This means that:
- Each C-F bond is formed by the overlap of an \( sp^3 \) hybrid orbital from carbon with an \( p \) orbital from fluorine.

4. **Bond Length Consideration**:
Because all the C-F bonds are formed using the same type of hybrid orbital (i.e., \( sp^3 \)), the bond lengths of all C-F bonds in the compound will be identical. This is due to the fact that identical hybridization leads to similar bond characteristics.

5. **Conclusion**:
The correct statement regarding the compound \( F_3C-CF_2-CF_3 \) is that all the C-F bond lengths are identical. Therefore, the correct answer is option A.

### Final Answer:
The correct statement is that all the bond lengths of C-F in \( F_3C-CF_2-CF_3 \) are identical.

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