Use VSEPR theory to predict the geometric shapes of the following molecules and ions: (a) \(\mathrm{PCl}_{3} ;\) (b) \(\mathrm{SO}_{4}^{2-}\); (c) \(\mathrm{SOCl}_{2} ;\) (d) \(\mathrm{SO}_{3} ;\) (e) \(\mathrm{BrF}_{4}^{+}\).

Short Answer

Expert verified
The geometric shapes are (a) PCl3 - trigonal pyramidal; (b) SO42- - tetrahedral; (c) SOCl2 - trigonal planar; (d) SO3 - trigonal planar; (e) BrF4+ - square planar.

Step by step solution

01

Determine the Electron Domains (PCl3)

First, identify the central atom (P) and its bonding (3 from Cl) and non-bonding electron pairs. Phosphorus (P), in the 5th group of the Periodic Table, has 5 valence electrons. There are 3 Chlorines (Cl), each contributes an electron for bonding. So there are 3 bonding pairs and one lone pair in PCl3.
02

Predict the Shape (PCl3)

Four domains in total (3 bonding, 1 non-bonding) suggest a tetrahedral arrangement. However, due to the lone pair, the actual shape realized is 'trigonal pyramidal'.
03

Determine the Electron Domains (SO42-)

Sulfur (S) is the central atom. It has 6 valence electrons. Oxygen atoms contribute 4 electrons for bonding. Taking into consideration 2 additional electrons due to the negative charge (2-), there are 6 pairs in total: 4 bonding and 2 non-bonding.
04

Predict the Shape (SO42-)

Six domains in total suggest an octahedral arrangement. However, considering 2 non-bonding pairs, the actual shape is tetrahedral.
05

Repeat for Rest of the Molecules/Ions

Repeat steps 1 and 2 for each remaining molecule/ion. This should lead to the following shapes: SOCl2 - 'trigonal planar', SO3 - 'trigonal planar', and BrF4+ - 'square planar'.

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