(A): `SO_(3)` molecule has a planar structure
(R) : S atom in `SO_(3)` is `sp^(2)-` hybridized and `O-S-O` bond angle is `120^(@)`

Options

A. Both A & R are true, R is the correct explanation of A
B. Both A & R are true, R is not correct explanation of A
C. A is true, R is false
D. A is false, R is true

Answer

To solve the question regarding the structure of the \( SO_3 \) molecule and the hybridization of the sulfur atom, we will analyze both statements (A) and (R) step by step.

### Step 1: Analyze Statement (A)
**Statement (A)**: \( SO_3 \) molecule has a planar structure.

- The molecular geometry of \( SO_3 \) can be determined by considering the number of bonding pairs and lone pairs around the sulfur atom.
- Sulfur in \( SO_3 \) is surrounded by three oxygen atoms, forming three \( S=O \) double bonds.
- Since there are no lone pairs on the sulfur atom, the arrangement of the three double bonds will be trigonal planar.
- This means that all atoms in \( SO_3 \) lie in the same plane, confirming that \( SO_3 \) indeed has a planar structure.

### Conclusion for Step 1:
Statement (A) is **True**.

### Step 2: Analyze Statement (R)
**Statement (R)**: The sulfur atom in \( SO_3 \) is \( sp^2 \)-hybridized and the \( O-S-O \) bond angle is \( 120^\circ \).

- To determine the hybridization of the sulfur atom, we look at the number of regions of electron density around it.
- In \( SO_3 \), sulfur forms three double bonds with oxygen, which corresponds to three regions of electron density.
- The hybridization that corresponds to three regions of electron density is \( sp^2 \).
- The geometry associated with \( sp^2 \) hybridization is trigonal planar, which gives rise to bond angles of \( 120^\circ \).
- Therefore, the \( O-S-O \) bond angle in \( SO_3 \) is indeed \( 120^\circ \).

### Conclusion for Step 2:
Statement (R) is **True**.

### Final Conclusion:
Both statements (A) and (R) are true, and (R) provides the correct explanation for (A). Therefore, the correct answer is:

**Option 1**: Both A and R are true, and R is the correct explanation of A.

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