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Multiple Choice
Which of the following molecules has a linear shape?
A
NO2+
B
SO2
C
NO2-
D
O3
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1
To determine the molecular shape, we need to use the VSEPR (Valence Shell Electron Pair Repulsion) theory, which predicts the geometry of molecules based on the repulsion between electron pairs around a central atom.
First, let's consider the molecule NO2+. Count the total number of valence electrons: Nitrogen (N) has 5 valence electrons, and each Oxygen (O) has 6 valence electrons. Since there is a positive charge, subtract one electron. This gives us a total of 5 + 6 + 6 - 1 = 16 valence electrons.
Next, arrange the electrons to form bonds and lone pairs around the central atom (Nitrogen in this case). NO2+ has a linear shape because it has two bonding pairs and no lone pairs on the central atom, resulting in a bond angle of 180 degrees.
Now, consider SO2. Count the valence electrons: Sulfur (S) has 6 valence electrons, and each Oxygen (O) has 6 valence electrons. This gives us a total of 6 + 6 + 6 = 18 valence electrons. SO2 has a bent shape due to the presence of lone pairs on the central atom.
Finally, analyze NO2- and O3. NO2- has a bent shape due to the presence of lone pairs, and O3 also has a bent shape due to resonance and lone pairs. Therefore, the only molecule with a linear shape is NO2+.