The bond length of the S-O bond is maximum in which of the following compounds?

Options

A. `SOCl_(2)`
B. `SOBr_(2)`
C. `SOF_(2)`
D. All have same length

Explanation

To determine which compound has the maximum S-O bond length, we need to analyze the compounds in question based on the principles of bond length, bond strength, and electronegativity.

### Step-by-Step Solution:

1. **Understanding Bond Length and Bond Strength**:
- Bond length is inversely proportional to bond strength. This means that stronger bonds (like triple bonds) have shorter lengths, while weaker bonds (like single bonds) have longer lengths.
- Electronegativity plays a crucial role in determining bond length. Higher electronegativity leads to stronger attraction between atoms, resulting in shorter bond lengths.

2. **Analyzing the Compounds**:
- We need to consider the compounds that contain S-O bonds, such as SOCl2, SO2, and SOBr2.
- Sulfur (S) is in group 16 and has 6 valence electrons. The bonding behavior of sulfur with different atoms (like Cl, O, and Br) will affect the bond length.

3. **Electronegativity Consideration**:
- The electronegativity values of the atoms involved are crucial. Fluorine (F) is the most electronegative, followed by chlorine (Cl), and then bromine (Br).
- The more electronegative the atom bonded to sulfur, the shorter the bond length due to stronger attraction.

4. **Comparing the Bond Lengths**:
- In SOCl2, the S-O bond is influenced by chlorine's electronegativity, which is higher than that of bromine.
- In SO2, sulfur is bonded to two oxygen atoms, which are highly electronegative, resulting in shorter bond lengths.
- In SOBr2, bromine is the least electronegative of the three, leading to a weaker attraction and thus a longer S-O bond length.

5. **Conclusion**:
- Based on the analysis, the S-O bond length will be maximum in SOBr2 due to the larger size and lower electronegativity of bromine compared to chlorine and oxygen. This results in a weaker bond and a longer bond length.

### Final Answer:
The S-O bond length is maximum in **SOBr2**.