Which of the following statements is(are) true? Correct the false statements. a. The molecules \(\mathrm{SeS}_{3}, \mathrm{SeS}_{2}, \mathrm{PCl}_{5}, \mathrm{TeCl}_{4}, \mathrm{ICl}_{3}\), and \(\mathrm{XeCl}_{2}\) all exhibit at least one bond angle, which is approximately \(120^{\circ}\). b. The bond angle in \(\mathrm{SO}_{2}\) should be similar to the bond angle in \(\mathrm{CS}_{2}\) or \(\mathrm{SCl}_{2}\). c. Of the compounds \(\mathrm{CF}_{4}, \mathrm{KrF}_{4}\), and \(\mathrm{SeF}_{4}\), only \(\mathrm{SeF}_{4}\) exhibits an overall dipole moment (is polar). d. Central atoms in a molecule adopt a geometry of the bonded atoms and lone pairs about the central atom in order to maximize electron repulsions.

Short Answer

Expert verified
Among the given statements, statements c and d are true. Statement a is false, as only \(\mathrm{PCl}_{5}\) and \(\mathrm{ICl}_{3}\) exhibit a bond angle of approximately \(120^{\circ}\). Statement b is false because the bond angle in \(\mathrm{SO}_{2}\) is similar to the bond angle in \(\mathrm{SCl}_{2}\) but not to the bond angle in \(\mathrm{CS}_{2}\).

Step by step solution

01

Statement a: Analyzing bond angles

First, let's find the molecular geometries and bond angles for each molecule mentioned in statement a: 1. \(\mathrm{SeS}_{3}\): The central atom Se has 3 bonding regions (3 S atoms) and 1 lone pair. Therefore, its molecular geometry is trigonal pyramidal, and it has a bond angle of approximately \(109.5^{\circ}\). 2. \(\mathrm{SeS}_{2}\): The central atom Se has 2 bonding regions (2 S atoms) and 1 lone pair. Therefore, its molecular geometry is bent, and it has a bond angle of less than \(120^{\circ}\). 3. \(\mathrm{PCl}_{5}\): The central atom P has 5 bonding regions (5 Cl atoms) and no lone pairs. Therefore, its molecular geometry is trigonal bipyramidal, and it has a bond angle of \(120^{\circ}\) and \(90^{\circ}\). 4. \(\mathrm{TeCl}_{4}\): The central atom Te has 4 bonding regions (4 Cl atoms) and no lone pairs. Therefore, its molecular geometry is tetrahedral, and it has a bond angle of approximately \(109.5^{\circ}\). 5. \(\mathrm{ICl}_{3}\): The central atom I has 3 bonding regions (3 Cl atoms) and 2 lone pairs. Therefore, its molecular geometry is T-shaped, and it has a bond angle of approximately \(120^{\circ}\). 6. \(\mathrm{XeCl}_{2}\): The central atom Xe has 2 bonding regions (2 Cl atoms) and 3 lone pairs. Therefore, its molecular geometry is linear, and it has a bond angle of \(180^{\circ}\). Among the given molecules, only \(\mathrm{PCl}_{5}\) and \(\mathrm{ICl}_{3}\) exhibit a bond angle of approximately \(120^{\circ}\). So, statement a is false.
02

Statement b: Bond angles comparison

Now, let's compare the bond angles of \(\mathrm{SO}_{2}\), \(\mathrm{CS}_{2}\), and \(\mathrm{SCl}_{2}\): 1. \(\mathrm{SO}_{2}\): The central atom S has 2 bonding regions (2 O atoms) and 1 lone pair. Therefore, its molecular geometry is bent, and it has a bond angle of less than \(120^{\circ}\). 2. \(\mathrm{CS}_{2}\): The central atom C has 2 bonding regions (2 S atoms) and no lone pairs. Therefore, its molecular geometry is linear, and it has a bond angle of \(180^{\circ}\). 3. \(\mathrm{SCl}_{2}\): The central atom S has 2 bonding regions (2 Cl atoms) and 1 lone pair. Therefore, its molecular geometry is bent, and it has a bond angle of less than \(120^{\circ}\). The bond angle in \(\mathrm{SO}_{2}\) is similar to the bond angle in \(\mathrm{SCl}_{2}\) but not to the bond angle in \(\mathrm{CS}_{2}\). Therefore, statement b is false.
03

Statement c: Analyzing overall dipole moments

To analyze the overall dipole moments of \(\mathrm{CF}_{4}\), \(\mathrm{KrF}_{4}\), and \(\mathrm{SeF}_{4}\), we should first analyze their molecular geometries: 1. \(\mathrm{CF}_{4}\): The central atom C has 4 bonding regions (4 F atoms) and no lone pairs. Therefore, its molecular geometry is tetrahedral, and it is a nonpolar molecule. 2. \(\mathrm{KrF}_{4}\): The central atom Kr has 4 bonding regions (4 F atoms) and 2 lone pairs. Therefore, its molecular geometry is square planar, and it is a nonpolar molecule. 3. \(\mathrm{SeF}_{4}\): The central atom Se has 4 bonding regions (4 F atoms) and 1 lone pair. Therefore, its molecular geometry is seesaw, and it is a polar molecule. Statement c is true, as only \(\mathrm{SeF}_{4}\) exhibits an overall dipole moment.
04

Statement d: Maximizing electron repulsions

The VSEPR theory is based on the idea that electron pairs around a central atom repel each other and arrange themselves to minimize these repulsions, which determines the molecular geometry. Thus, statement d is true.

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