Which of the following statements concerning \(\mathrm{SO}_{2}\) is (are) true? a. The central sulfur atom is \(s p^{2}\) hybridized. b. One of the sulfur-oxygen bonds is longer than the other(s). c. The bond angles about the central sulfur atom are about \(120^{\circ} .\) d. There are two \(\sigma\) bonds in \(\mathrm{SO}_{2}\) . e. There are no resonance structures for SO.

Short Answer

Expert verified
The true statements concerning SO2 are: a. The central sulfur atom is sp2 hybridized. c. The bond angles about the central sulfur atom are about \(120^{\circ}\). d. There are two \(\sigma\) bonds in SO2.

Step by step solution

01

1. Determine Hybridization

To determine the hybridization of the central sulfur atom, we need to identify the number of electron pairs around it. Sulfur dioxide (SO2) has the following Lewis structure: O=S=O Around the central sulfur atom, there are three electron domains: two double bonds with oxygen atoms and one lone pair of electrons. Since there are three electron domains, the hybridization will be sp2. So, statement a is true.
02

2. Compare Bond Lengths

\ As the molecule is symmetric, and both sulfur-oxygen bonds are double bonds, they will have the same length. Therefore, no sulfur-oxygen bond in SO2 is longer than the other. So, statement b is false.
03

3. Determine Bond Angles

In an sp2 hybridized molecule, the ideal bond angle between the three electron domains is approximately 120 degrees, due to the trigonal planar geometry. So, statement c is true.
04

4. Count Sigma Bonds

When we have double bonds, they always consist of one sigma bond and one pi bond. In the Lewis structure of SO2, we have two double bonds. So, there are two sigma bonds in SO2, one in each S=O bond. So, statement d is true.
05

5. Identify Resonance Structures

Resonance structures exist when a molecule has multiple ways to arrange its electrons and they can be represented by different Lewis structures. For SO2, the electrons are distributed in a way that both double bonds are equivalent, and there's no other way to depict SO2 with different electron arrangements. So, statement e is false. In conclusion, the true statements are a, c, and d.

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