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General Chemistry

Darrell Ebbing, Steven D. Gammon

Chapter 10

Molecular Geometry and Chemical Bonding Theory - all with Video Answers

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Chapter Questions

02:24

Problem 1

Describe the main features of the VSEPR model.

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02:41

Problem 2

According to the VSEPR model, what are the arrangements of two, three, four, five, and six valence-shell electron pairs about an atom?

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01:32

Problem 3

Why is a lone pair expected to occupy an equatorial position instead of an axial position in the trigonal bipyramidal arrangement?

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01:47

Problem 4

Why is it possible for a molecule to have polar bonds, yet have a dipole moment of zero?

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01:48

Problem 5

Explain why nitrogen trifluoride has a small dipole moment even though it has polar bonds in a trigonal pyramidal arrangement.

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02:50

Problem 6

Explain in terms of valence bond theory why the orbitals used on an atom give rise to a particular geometry about that atom.

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01:17

Problem 7

What is the angle between two $s p^{3}$ hybrid orbitals?

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02:25

Problem 8

What is the difference between a sigma bond and a pi bond?

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02:12

Problem 9

Describe the bonding in ethylene, $\mathrm{C}_{2} \mathrm{H}_{4}$, in terms of valence bond theory.

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02:11

Problem 10

How does the valence bond description of a carboncarbon double bond account for cis-trans isomers?

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02:20

Problem 11

What are the differences between a bonding and an antibonding molecular orbital of a diatomic molecule?

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01:28

Problem 12

What factors determine the strength of interaction between two atomic orbitals to form a molecular orbital?

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02:15

Problem 13

Describe the formation of bonding and antibonding molecular orbitals resulting from the interaction of two $2 s$ orbitals.

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01:47

Problem 14

Describe the formation of molecular orbitals resulting from the interaction of two $2 p$ orbitals.

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02:51

Problem 15

How does molecular orbital theory describe the bonding in the HF molecule?

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02:08

Problem 16

Describe the bonding in $\mathrm{O}_{3}$, using molecular orbital theory. Compare this with the resonance description. 10.17 According to the VSEPR model, the $\mathrm{H}-\mathrm{P}-\mathrm{H}$ bond angle in $\mathrm{PH}_{3}$ is
a. $120^{\circ}$
b. $109.5^{\circ}$
c. $90^{\circ}$
d. a little less than $120^{\circ}$
e. a little less than $109.5^{\circ}$

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01:15

Problem 17

According to the VSEPR model, the $\mathrm{H}-\mathrm{P}-\mathrm{H}$ bond angle in $\mathrm{PH}_{3}$ is
a. $120^{\circ}$
b. $109.5^{\circ}$
c. $90^{\circ}$
d. a little less than $120^{\circ}$
e. a little less than $109.5^{\circ}$

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01:40

Problem 18

Which of the following molecular geometries does the $\mathrm{XeF}_{5}^{+}$ cation exhibit?
a. tetradral
b. T-shaped
c. octahedral
d. square pyramidal
e. trigonal bipyramidal

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02:47

Problem 19

Which of the following would be a polar molecule?
a. $\mathrm{CO}_{2}$
b. $\mathrm{H}_{2} \mathrm{~S}$
c. $\mathrm{CH}_{4}$
d. $\mathrm{SF}_{6}$
e. $\mathrm{BeF}_{2}$

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01:42

Problem 20

What is the bond order of NO?
a. $\frac{1}{2}$
b. 1
c. $\frac{3}{2}$
d. 3
e. $\frac{5}{2}$

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03:21

Problem 21

A student writes the Lewis electron-dot formula for the carbonate anion, $\mathrm{CO}_{3}^{2-}, \mathrm{as}$
a. Does this Lewis formula obey the octet rule? Explain. What are the formal charges on the atoms? Try describing the bonding for this formula in valence bond terms. Do you have any difficulty doing this?
b. Does this Lewis formula give a reasonable description of the electron structure, or is there a better one? If there is a better Lewis formula, write it down and explain why it is better.
C. The same student writes the following resonance description for $\mathrm{CO}_{2}:$
Is there something wrong with this description? (What would you predict as the geometries of these formulas?)
d. Is one or the other formula a better description? Could a value for the dipole moment help you decide?
e. Can you write a Lewis formula that gives an even better description of $\mathrm{CO}_{2}$ ? Explain your answer.

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02:34

Problem 22

a. Shown here are several potential Lewis electron-dot formulas for the $\mathrm{SeO}_{2}$ molecule.
Are there any electron-dot formulas that you expect to give the best description? How would you describe the bonding in terms of electron-dot formulas?
b. Describe the bonding in $\mathrm{SeO}_{2}$ in valence bond terms. If there is delocalized bonding, note this in your description and explain how molecular orbital theory can be useful here.
C. Determine the arrangement of electron pairs about Se in the $\mathrm{SeO}_{2}$ molecule. What would you expect for the molecular geometry of the $\mathrm{SeO}_{2}$ molecule?
d. Would you expect the $\mathrm{O}-\mathrm{Se}-\mathrm{O}$ angle in the $\mathrm{SeO}_{2}$ molecule to be greater than, equal to, or less than $120^{\circ} .$ Explain your answer.
e. Draw an electron-dot formula for the $\mathrm{H}_{2}$ Se molecule and determine its molecular geometry.
f. Compare the $\mathrm{H}-\mathrm{Se}-\mathrm{H}$ bond angle to the $\mathrm{O}-\mathrm{Se}-\mathrm{O}$
bond angle. Is it larger or smaller? Explain.
g. Determine whether the $\mathrm{H}_{2} \mathrm{Se}$ and $\mathrm{SeO}_{2}$ molecules have dipole moments. Describe how you arrived at your answer.

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01:24

Problem 23

Match the following molecular substances with one of the molecular models (i) to (iv) that correctly depicts the geometry of the corresponding molecule.
a. $\mathrm{SeO}_{2}$
b. $\mathrm{BeCl}_{2}$
c. $\mathrm{PBr}_{3}$
d. $\mathrm{BCl}_{3}$

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01:00

Problem 24

Which of the following molecular models correctly depicts the geometry of CICN?

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01:27

Problem 25

Suppose that an ethane molecule, $\mathrm{CH}_{3} \mathrm{CH}_{3}$, is broken into two $\mathrm{CH}_{3}$ molecules in such a way that one $: \mathrm{CH}_{3}$ molecule retains the electron pair that was originally the one making up the $\mathrm{C}-\mathrm{C}$ bond. The other $\mathrm{CH}_{3}$ molecule has two fewer electrons. Imagine that momentarily this $\mathrm{CH}_{3}$ molecule has the geometry it had in the ethane molecule. Describe the electron repulsions present in this molecule, and indicate how they would be expected to rearrange its geometry.

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02:09

Problem 26

Suppose that a $\mathrm{BF}_{3}$ molecule approaches the lone pair on the $\mathrm{N}$ atom of an $: \mathrm{NH}_{3}$ molecule, and that a bond forms between the $\mathrm{B}$ atom and the $\mathrm{N}$ atom. Consider the arrangement of electron pairs about the $\mathrm{B}$ atom at the moment of this bond formation, and describe the repulsions among the electron pairs and how they might be expected to change the geometry about the $\mathrm{B}$ atom.

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01:28

Problem 27

Indicate what hybrid orbital depicted below is expected for the central atom of each of the following:
a. $\mathrm{BeF}_{2}$
b. $\mathrm{SiF}_{4}$
C. $\mathrm{SeF}_{4}$
d. $\bar{R} n F_{4}$

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01:25

Problem 28

An atom in a molecule has two bonds to other atoms and one lone pair. What kind of hybrid orbitals do you expect for this atom? Describe how you arrived at your answer.

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01:31

Problem 29

Two compounds have the same molecular formula, $\mathrm{C}_{2} \mathrm{H}_{2} \mathrm{Br}_{2}$. One has a dipole moment; the other does not. Both compounds react with bromine, $\mathrm{Br}_{2}$, to produce the same compound. This reaction is a generally accepted test for double bonds, and each bromine atom of $\mathrm{Br}_{2}$ adds to a different atom of the double bond. What is the identity of the original compounds? Describe the argument you use.

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01:51

Problem 30

A neutral molecule is identified as a tetrafluoride, $\mathrm{XF}_{4,}$ where $\mathrm{X}$ is an unknown atom. If the molecule has a dipole moment of $0.63 \mathrm{D}$, can you give some possibilities for the identity of $\mathrm{X}$ ?

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01:08

Problem 31

Acetic acid, the sour constituent of vinegar, has the following structure:
Indicate what geometry given below is expected to be found about each of the atoms labeled $\mathrm{a}, \mathrm{b}$, and $\mathrm{c}$.

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01:15

Problem 32

What are the bond angles predicted by the VSEPR model about the carbon atom in the formate ion, $\mathrm{HCO}_{2}^{-}$ ? Considering that the bonds to this atom are not identical, would you expect the experimental values to agree precisely with the VSEPR values? How might they differ?

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01:37

Problem 33

Predict the shape or geometry of the following molecules, using the VSEPR model.
a. $\mathrm{SiF}_{4}$
b. $\mathrm{SF}_{2}$
c. $\mathrm{COF}_{2}$
d. $\mathrm{PCl}_{3}$

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01:33

Problem 34

Use the electron-pair repulsion model to predict the geometry of the following molecules:
a. $\mathrm{GeCl}_{2}$
b. $\mathrm{NF}_{3}$
c. $\mathrm{SCl}_{2}$
d. $\mathrm{XeO}_{4}$

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01:29

Problem 35

Predict the geometry of the following ions, using the electron-pair repulsion model.
a. $\mathrm{ClO}_{3}^{-}$
b. $\mathrm{PO}_{4}{ }^{3-}$
c. $\mathrm{SCN}^{-}$
d. $\mathrm{H}_{3} \mathrm{O}^{+}$

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01:31

Problem 36

Use the VSEPR model to predict the geometry of the following ions:
a. $\mathrm{N}_{3}^{-}$
b. $\mathrm{BH}_{4}^{-}$
c. $\mathrm{SO}_{3}^{2-}$
d. $\mathrm{NO}_{2}^{-}$

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02:10

Problem 37

For each of the following molecules, state the bond angle (or bond angles, as appropriate) that you would expect to see on the central atom based on the simple VSEPR model. Would you expect the actual bond angles to be greater or less than this?
a. $\mathrm{CCl}_{4}$
b. $\mathrm{SCl}_{2}$
c. $\mathrm{COCl}_{2}$
d. $\mathrm{AsH}_{3}$

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01:44

Problem 38

For each of the following molecules, state the bond angle (or bond angles, as appropriate) that you would expect to see on the central atom based on the simple VSEPR model. Would you expect the actual bond angles to be greater or less than this?
a. $\mathrm{NCl}_{3}$
b. $\mathrm{CF}_{2} \mathrm{CF}_{2}$
c. $\mathrm{GeF}_{4}$
d. $\mathrm{OF}_{2}$

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01:33

Problem 39

What geometry is expected for the following molecules, according to the VSEPR model?
a. $\mathrm{PF}_{5}$
b. $\mathrm{BrF}_{3}$
c. $\mathrm{BrF}_{5}$
d. $\mathrm{SCl}_{4}$

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01:42

Problem 40

From the electron-pair repulsion model, predict the geometry of the following molecules:
a. $\mathrm{ClF}_{5}$
b. $\mathrm{SbF}_{5}$
c. $\mathrm{SeF}_{4}$
d. $\mathrm{TeF}_{6}$

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01:29

Problem 41

Predict the geometries of the following ions, using the VSEPR model.
a. $\mathrm{SnCl}_{5}^{-}$
b. $\mathrm{PF}_{6}^{-}$
c. $\mathrm{ClF}_{2}^{-}$
d. $\mathrm{IF}_{4}^{-}$

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01:33

Problem 42

Name the geometries expected for the following ions, according to the electron-pair repulsion model.
a. $\mathrm{ICl}_{2}^{-}$
b. $\mathrm{BrF}_{4}^{-}$
c. $\mathrm{ClF}_{6}^{+}$
d. $\mathrm{CIF}_{4}^{+}$

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01:40

Problem 43

(a) The molecule $\mathrm{AsF}_{3}$ has a dipole moment of $2.59 \mathrm{D}$. Which of the following geometries are possible: trigonal planar, trigonal pyramidal, or T-shaped? (b) The molecule $\mathrm{H}_{2} \mathrm{~S}$ has a dipole moment of $0.97 \mathrm{D}$. Is the geometry linear or bent?

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01:23

Problem 44

(a) The molecule $\mathrm{BrF}_{3}$ has a dipole moment of $1.19 \mathrm{D}$. Which of the following geometries are possible: trigonal planar, trigonal pyramidal, or T-shaped? (b) The molecule $\mathrm{TeCl}_{4}$ has a dipole moment of $2.54 \mathrm{D}$. Is the geometry tetrahedral, seesaw, or square planar?

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02:00

Problem 45

Which of the following molecules would be expected to have zero dipole moment on the basis of their geometry?
a. $\mathrm{CS}_{2}$
b. $\mathrm{TeF}_{2}$
c. $\mathrm{SeCl}_{4}$
d. $\mathrm{XeF}_{4}$

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01:21

Problem 46

Which of the following molecules would be expected to have a dipole moment of zero because of symmetry?
a. $\mathrm{SeF}_{2}$
b. $\mathrm{BeI}_{2}$
c. TeF $_{6}$
d. $\mathrm{TeF}_{4}$

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01:00

Problem 47

What hybrid orbitals would be expected for the central atom in each of the following molecules or ions?

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01:00

Problem 48

What hybrid orbitals would be expected for the central atom in each of the following molecules or ions?

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01:00

Problem 49

What hybrid orbitals would be expected for the central atom in each of the following molecules or ions?
a. $\mathrm{SeCl}_{2}$
b. $\mathrm{NO}_{2}^{-}$
C. $\mathrm{CO}_{2}$
d. $\mathrm{COF}_{2}$

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01:15

Problem 50

What hybrid orbitals would be expected for the central atom in each of the following molecules or ions?
a. $\mathrm{GeCl}_{4}$
b. $\mathrm{PBr}_{3}$
c. $\mathrm{BeF}_{2}$
d. $\mathrm{SO}_{2}$

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01:35

Problem 51

(a) Mercury(II) chloride dissolves in water to give poorly conducting solutions, indicating that the compound is largely nonionized in solution - it dissolves as $\mathrm{HgCl}_{2}$ molecules. Describe the bonding of the $\mathrm{HgCl}_{2}$ molecule, using valence bond theory. (b) Phosphorus trichloride, $\mathrm{PCl}_{3}$, is a colorless liquid with a highly irritating vapor. Describe the bonding in the $\mathrm{PCl}_{3}$ molecule, using valence bond theory. Use hybrid orbitals.

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01:24

Problem 52

(a) Nitrogen trifluoride, $\mathrm{NF}_{3}$, is a relatively unreactive, colorless gas. How would you describe the bonding in the $\mathrm{NF}_{3}$ molecule in terms of valence bond theory? Use hybrid orbitals.
(b) Silicon tetrafluoride, $\mathrm{SiF}_{4}$, is a colorless gas formed when hydrofluoric acid attacks silica $\left(\mathrm{SiO}_{2}\right)$ or glass. Describe the bonding in the $\mathrm{SiF}_{4}$ molecule, using valence bond theory.

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01:17

Problem 53

What hybrid orbitals would be expected for the central atom in each of the following?
a. $\mathrm{XeF}_{2}$
b. $\mathrm{BrF}_{5}$
c. $\mathrm{PCl}_{5}$
d. $\mathrm{CIF}_{4}^{+}$

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01:28

Problem 54

What hybrid orbitals would be expected for the central atom in each of the following?
a. $\mathrm{BrF}_{3}$
b. $\mathrm{TeF}_{4}$
c. $\mathrm{XeF}_{4}$
d. $\mathrm{IF}_{4}^{-}$

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01:35

Problem 55

Phosphorus pentachloride is normally a white solid. It exists in this state as the ionic compound $\left[\mathrm{PCl}_{4}^{+}\right]\left[\mathrm{PCl}_{6}^{-}\right] .$

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01:01

Problem 56

Iodine, $\mathrm{I}_{2}$, dissolves in an aqueous solution of iodide ion, $\mathrm{I}^{-}$, to give the triiodide ion, $\mathrm{I}_{3}^{-}$. This ion consists of one iodine atom bonded to two others. Describe the bonding of $I_{3}^{-}$ in terms of valence bond theory.

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01:35

Problem 57

(a) Formaldehyde, $\mathrm{H}_{2} \mathrm{CO}$, is a colorless, pungent gas used to make plastics. Give the valence bond description of the formaldehyde molecule. (Both hydrogen atoms are attached to the carbon atom.) (b) Nitrogen, $\mathrm{N}_{2}$, makes up about $80 \%$ of the earth's atmosphere. Give the valence bond description of this molecule.

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01:29

Problem 58

(a) The molecule HN=NH exists as a transient species in certain reactions. Give the valence bond description of this species. (b) Hydrogen cyanide, HCN, is a very poisonous gas or liquid with the odor of bitter almonds. Give the valence bond description of HCN. (Carbon is the central atom.)

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01:28

Problem 59

The hyponitrite ion, $^{-} \mathrm{O}-\mathrm{N}=\mathrm{N}-\mathrm{O}^{-}$, exists in solid compounds as the trans isomer. Using valence bond theory, explain why cis-trans isomers might be expected for this ion. Draw structural formulas of the cis-trans isomers.

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01:25

Problem 60

Fumaric acid, $\mathrm{C}_{4} \mathrm{H}_{4} \mathrm{O}_{4}$, occurs in the metabolism of glucose in the cells of plants and animals. It is used commercially in beverages. The structural formula of fumaric acid is Maleic acid is the cis isomer of fumaric acid. Using valence bond theory, explain why these isomers are possible.

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01:55

Problem 61

Describe the electronic structure of each of the following, using molecular orbital theory. Calculate the bond order of each and decide whether it should be stable. For each, state whether the substance is diamagnetic or paramagnetic.
a. $\mathrm{B}_{2}$
b. $\mathrm{B}_{2}^{+}$
c. $\mathrm{O}_{2}^{-}$

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01:34

Problem 62

Use molecular orbital theory to describe the bonding in the following. For each one, find the bond order and decide whether it is stable. Is the substance diamagnetic or paramagnetic?
a. $\mathrm{Be}_{2}^{+}$
b. $\mathrm{Ne}_{2}$
c. $\mathrm{B}_{2}^{-}$

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01:14

Problem 63

Assume that the cyanide ion, $\mathrm{CN}^{-}$, has molecular orbitals similar to those of a homonuclear diatomic molecule. Write the configuration and bond order of $\mathrm{CN}^{-}$. Is a substance of the ion diamagnetic or paramagnetic?

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01:08

Problem 64

Write the molecular orbital configuration of the diatomic molecule BN. What is the bond order of BN? Is the substance diamagnetic or paramagnetic? Use the order of energies that was given for homonuclear diatomic molecules.

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01:18

Problem 65

Predict the molecular geometry of the following:
a. $\mathrm{SnCl}_{2}$
b. $\mathrm{COBr}_{2}$
c. $\mathrm{ICl}_{2}$
d. $\mathrm{PCl}_{6}^{-}$

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01:28

Problem 66

Predict the molecular geometry of the following:
a. HOF
b. $\mathrm{NH}_{4}^{+}$
c. $\mathrm{PF}_{5}$
d. $\mathrm{ClF}_{4}^{+}$

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01:16

Problem 67

Which of the following molecules or ions are linear?
a. $\mathrm{SeF}_{2}$
b. $\mathrm{CHCl}_{3}$
c. $\mathrm{SeF}_{4}$
d. $\mathrm{SnF}_{6}^{2-}$

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01:16

Problem 67

Which of the following molecules or ions are linear?
a. $\mathrm{SeF}_{2}$
b. $\mathrm{CHCl}_{3}$
c. $\mathrm{SeF}_{4}$
d. $\mathrm{SnF}_{6}^{2-}$

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01:11

Problem 68

Which of the following molecules or ions are trigonal planar?
a. $\mathrm{BBr}_{3}$
b. $\mathrm{AsH}_{3}$
c. $\mathrm{ClF}_{4}^{-}$
d. $\mathrm{TeF}_{5}^{-}$

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01:48

Problem 69

Describe the hybrid orbitals used by each carbon atom in the following molecules:

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01:19

Problem 70

Describe the hybrid orbitals used by each nitrogen atom in the following molecules:

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01:14

Problem 71

Explain how the dipole moment could be used to distinguish between the cis and trans isomers of 1,2 -dibromoethene:

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01:28

Problem 72

Two compounds have the formula $\mathrm{Pt}\left(\mathrm{NH}_{3}\right)_{2} \mathrm{Cl}_{2}$. (Compound $\mathrm{B}$ is cisplatin, mentioned in the opening to Chapter $1 .)$ They have square planar structures. One is expected to have a dipole moment; the other is not. Which one would have a dipole moment?

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01:11

Problem 73

Explain in terms of bonding theory why all four hydrogen atoms of allene, $\mathrm{H}_{2} \mathrm{C}=\mathrm{C}=\mathrm{CH}_{2}$, cannot lie in the same plane.

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01:06

Problem 74

Explain in terms of bonding theory why all atoms of $\mathrm{H}_{2} \mathrm{C}=\mathrm{C}=\mathrm{C}=\mathrm{CH}_{2}$ must lie in the same plane.

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01:05

Problem 75

What is the molecular orbital configuration of $\mathrm{HeH}^{+} ?$ Do you expect the ion to be stable?

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01:02

Problem 76

What is the molecular orbital configuration of $\mathrm{He}_{2}^{+} ?$ Do you expect the ion to be stable?

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01:19

Problem 77

Calcium carbide, $\mathrm{CaC}_{2}$, consists of $\mathrm{Ca}^{2+}$ and $\mathrm{C}_{2}^{2-}$ (acetylide) ions. Write the molecular orbital configuration and bond order of the acetylide ion, $\mathrm{C}_{2}{ }^{2-}$.

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01:24

Problem 78

Sodium peroxide, $\mathrm{Na}_{2} \mathrm{O}_{2}$, consists of $\mathrm{Na}^{+}$ and $\mathrm{O}_{2}^{2-}$ (peroxide) ions. Write the molecular orbital configuration and bond order of the peroxide ion, $\mathrm{O}_{2}{ }^{2-}$.

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02:06

Problem 79

The oxygen-oxygen bond in $\mathrm{O}_{2}^{+}$ is $112 \mathrm{pm}$ and in $\mathrm{O}_{2}$ is $121 \mathrm{pm}$. Explain why the bond length in $\mathrm{O}_{2}{ }^{+}$ is shorter than in $\mathrm{O}_{2}$. Would you expect the bond length in $\mathrm{O}_{2}^{-}$ to be longer or shorter than that in $\mathrm{O}_{2}$ ? Why?

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01:43

Problem 80

The nitrogen-nitrogen bond distance in $\mathrm{N}_{2}$ is $109 \mathrm{pm} .$ On the basis of bond orders, would you expect the bond distance in $\mathrm{N}_{2}{ }^{+}$ to be less than or greater than $109 \mathrm{pm}$ ? Answer the same question for $\mathrm{N}_{2}^{-}$.

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01:30

Problem 81

Using molecular orbital theory, determine the electronic structure of the first excited electronic state of $\mathrm{N}_{2}$. What differences are expected in the properties of the excited state of $\mathrm{N}_{2}$ compared with the same properties of the ground state?

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01:55

Problem 82

The ionization energy of $\mathrm{O}_{2}$ is smaller than the ionization energy of atomic $\mathrm{O} ;$ the opposite is true for the ionization energies of $\mathrm{N}_{2}$ and atomic $\mathrm{N}$. Explain this behavior in terms of the molecular orbital energy diagrams of $\mathrm{O}_{2}$ and $\mathrm{N}_{2}$.

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01:18

Problem 83

Describe the property of "handedness." What is it about the bonding of atoms in molecules that can give rise to handedness in molecules?

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01:21

Problem 84

Biological molecules frequently display handedness. Describe the difference between the molecule responsible for the flavor of spearmint and the molecule responsible for the flavor of caraway seeds. In which way are the molecules similar and in which way do they differ?

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01:53

Problem 85

Color vision results from the absorption of light by the cone cells of the retina. Briefly describe how different types of cone cells give rise to color vision. What is the chemical substance primarily responsible for human vision? How can its color absorption be changed?

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01:59

Problem 86

Describe the cis-trans conversion that occurs in the ultraviolet absorption of cis $-1,2$ -dichloroethene.

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01:18

Problem 87

What is the biological importance of stratospheric ozone? Explain.

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01:54

Problem 88

In 1995, Sherwood Rowland and Mario Molina received the Nobel Prize in chemistry. Explain in some detail the work they did for which they were awarded this prize.

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01:21

Problem 89

Calcium carbide, $\mathrm{CaC}_{2}$, has an ionic structure with ions $\mathrm{Ca}^{2+}$ and $\mathrm{C}_{2}^{2-} .$ Give the valence bond description of the bonding in the $\mathrm{C}_{2}^{2-}$ ion. Now write the MO configuration of this ion. What is the bond order according to this configuration? Compare the valence bond and molecular orbital descriptions.

Lottie Adams
Lottie Adams
Numerade Educator
02:21

Problem 90

Write Lewis formulas for the BF molecule (two with a single $\mathrm{B}-\mathrm{F}$ bond, two with a double $\mathrm{B}-\mathrm{F}$ bond, and one with a triple $\mathrm{B}-\mathrm{F}$ bond in which the octet rule is satisfied for at least one of the atoms. Obtain the formal charges of the atoms. Based on the information you have, is there one formula that you think best describes the molecule? Explain. For this best Lewis formula, give the valence bond description of the bonding.

Lottie Adams
Lottie Adams
Numerade Educator
01:09

Problem 91

Boron trifluoride, $\mathrm{BF}_{3}$, reacts with ammonia, $\mathrm{NH}_{3}$, to form an addition compound, $\mathrm{BF}_{3} \mathrm{NH}_{3}$. Describe the geometries about the $\mathrm{B}$ and the $\mathrm{F}$ atoms in this compound. Describe the hybridization on these two atoms. Now describe the bonding between the $\mathrm{B}$ and $\mathrm{F}$ atoms, using valence bond theory. Compare the geometries and hybridization of these atoms in this addition compound with that in the reactant molecules $\mathrm{BF}_{3}$ and $\mathrm{NH}_{3}$.

Lottie Adams
Lottie Adams
Numerade Educator
02:06

Problem 92

Acetylsalicylic acid (aspirin) has the structure shown by the following molecular model: Describe the geometry and bonding about the carbon atom shown at the top of the model, in which the carbon atom (in black) is bonded to two oxygen atoms (red) and to another carbon atom. One of the oxygen atoms is bonded to a hydrogen atom (blue).

Lottie Adams
Lottie Adams
Numerade Educator
01:17

Problem 93

A molecule $\mathrm{XF}_{6}$ (having no lone pairs) has a dipole moment of zero. (X denotes an unidentified element.) When two atoms of fluorine have been taken away, you get the molecule $\mathrm{XF}_{4}$, which has dipole moment of $0.632 \mathrm{D}$.
$$\mathrm{XF}_{6} \longrightarrow \mathrm{XF}_{4}+2 \mathrm{~F}$$
Describe the molecular geometry and bonding for each molecule. What are some possibilities for $\mathrm{X} ?$

Lottie Adams
Lottie Adams
Numerade Educator
01:30

Problem 94

Three different compounds have the same molecular formula, $\mathrm{C}_{2} \mathrm{H}_{2} \mathrm{~F}_{2} ;$ call them $\mathrm{A}, \mathrm{B}$, and $\mathrm{C}$. Compound $\mathrm{A}$ has a dipole moment of $2.42 \mathrm{D}$, compound $\mathrm{B}$ has a dipole moment of $1.38 \mathrm{D}$, and compound $\mathrm{C}$ has a dipole moment of $0 \mathrm{D} .$ All three compounds react with hydrogen, $\mathrm{H}_{2}$ :
$$\mathrm{C}_{2} \mathrm{H}_{2} \mathrm{~F}_{2}+\mathrm{H}_{2} \longrightarrow \mathrm{C}_{2}\mathrm{H}_{4} \mathrm{~F}_{2}$$
Compound A gives product D (molecular formula $\mathrm{C}_{2} \mathrm{H}_{4} \mathrm{~F}_{2}$ ), compound B gives product $E$ (same molecular formula, $\mathrm{C}_{2} \mathrm{H}_{4} \mathrm{~F}_{2}$, but different from product $\mathrm{D}$ ), and compound $\mathrm{C}$ gives product D. Identify the structural formulas of compounds $\mathrm{A}$, $\mathrm{B}$, and $\mathrm{C}$.

Lottie Adams
Lottie Adams
Numerade Educator
01:14

Problem 95

Obtain a Lewis formula of $\mathrm{H}_{2} \mathrm{~N}_{2}$. This molecule exhibits isomerism (it has two isomers). Sketch the electron-dot formulas of these isomers. Describe the bonding in terms of valence bond theory, and explain this isomerism in terms of this bonding description.

Lottie Adams
Lottie Adams
Numerade Educator
01:46

Problem 96

Dioxygen, $\mathrm{O}_{2}$, has sometimes been represented by the electron-dot formula
Note, however, that this formula implies that all electrons are paired. Give the molecular orbital description of the state of the $\mathrm{O}_{2}$ molecule of lowest energy in which all electrons are paired in this way. Compare this configuration with that of the ground state of $\mathrm{O}_{2} .$ In what way are they similar, and in what way are they different?

Lottie Adams
Lottie Adams
Numerade Educator
01:21

Problem 97

Solid sulfur normally consists of crystals of $\mathrm{S}_{8}$ molecules, but when heated strongly, the solid vaporizes to give $\mathrm{S}_{2}$ molecules (among other molecular species). Describe the bonding in $\mathrm{S}_{2}$ in molecular orbital terms, assuming the orbitals are analogous to those of the preceding period. What would you expect to happen to the sulfur-sulfur bond length if two electrons were added to give the $\mathrm{S}_{2}^{2-}$ ion? What would you expect to happen to the bond length if, instead, two electrons were taken away to give $\mathrm{S}_{2}{ }^{2+}$ ?

Lottie Adams
Lottie Adams
Numerade Educator
01:33

Problem 98

Formaldehyde has the formula $\mathrm{H}_{2} \mathrm{CO}$. Describe the bonding between the $\mathrm{C}$ and $\mathrm{O}$ atoms in VB terms. Formaldehyde absorbs UV light at about $270 \mathrm{~nm}$. The absorption is described as a $\pi$ to $\pi^{*}$ transition. Explain in molecular orbital terms what is involved.

Lottie Adams
Lottie Adams
Numerade Educator
01:39

Problem 99

A molecular compound is composed of $60.4 \%$ Xe, $22.1 \% \mathrm{O}$, and $17.5 \% \mathrm{~F}$, by mass. If the molecular weight is $217.3$ amu, what is the molecular formula? What is the Lewis formula? Predict the molecular geometry using the VSEPR model. Describe the bonding, using valence bond theory.

Lottie Adams
Lottie Adams
Numerade Educator
01:15

Problem 100

A molecular compound is composed of $58.8 \% \mathrm{Xe}, 7.2 \%$ $\mathrm{O}$, and $34.0 \% \mathrm{~F}$, by mass. If the molecular weight is $223 \mathrm{amu}$, what is the molecular formula? What is the Lewis formula? Predict the molecular geometry using the VSEPR model. Describe the bonding, using valence bond theory.

Lottie Adams
Lottie Adams
Numerade Educator
01:16

Problem 101

A compound of chlorine and fluorine, $\mathrm{CIF}_{n}$, reacts at about $75^{\circ} \mathrm{C}$ with uranium metal to produce uranium hexafluoride, UF $_{6}$, and chlorine monofluoride, $\mathrm{CIF}(g) .$ A quantity of uranium produced $3.53 \mathrm{~g} \mathrm{UF}_{6}$ and $343 \mathrm{~mL}$ CIF at $75^{\circ} \mathrm{C}$ and $2.50 \mathrm{~atm} .$ What is the formula $(n)$ of the compound? Describe the bonding in the molecule, using valence bond theory.

Lottie Adams
Lottie Adams
Numerade Educator
01:05

Problem 102

Excess fluorine, $\mathrm{F}_{2}(g)$, reacts at $150^{\circ} \mathrm{C}$ with bromine, $\mathrm{Br}_{2}(g)$, to give a compound $\mathrm{BrF}_{n}$. If $423 \mathrm{~mL} \mathrm{Br}_{2}(g)$ at $150^{\circ} \mathrm{C}$ and
$748 \mathrm{mmHg}$ produced $4.20 \mathrm{~g} \mathrm{BrF}_{n}$, what is $n ?$ Describe the bonding in the molecule, using valence bond theory.

Lottie Adams
Lottie Adams
Numerade Educator
01:43

Problem 103

Each of the following compounds has a nitrogen-nitrogen bond: $\mathrm{N}_{2}, \mathrm{~N}_{2} \mathrm{H}_{4}, \mathrm{~N}_{2} \mathrm{~F}_{2} .$ Match each compound with one of the
following bond lengths: $110 \mathrm{pm}, 122 \mathrm{pm}, 145 \mathrm{pm} .$ Describe the geometry about one of the $\mathrm{N}$ atoms in each compound. What hybrid orbitals are needed to describe the bonding in valence bond theory?

Lottie Adams
Lottie Adams
Numerade Educator
01:28

Problem 104

The bond length in $\mathrm{C}_{2}$ is $131 \mathrm{pm}$. Compare this with the bond lengths in $\mathrm{C}_{2} \mathrm{H}_{2}(120 \mathrm{pm}), \mathrm{C}_{2} \mathrm{H}_{4}(134 \mathrm{pm})$, and $\mathrm{C}_{2} \mathrm{H}_{6}$
(153 pm). What bond order would you predict for $C_{2}$ from its bond length? Does this agree with the molecular orbital configuration you would predict for $\mathrm{C}_{2}$ ?

Lottie Adams
Lottie Adams
Numerade Educator
02:58

Problem 105

Draw resonance formulas of the nitric acid molecule, $\mathrm{HNO}_{3}$. What is the geometry about the $\mathrm{N}$ atom? What is the hybridization on $\mathrm{N}$ ? Use bond energies and one Lewis formula for $\mathrm{HNO}_{3}$ to estimate $\Delta H_{f}^{\circ}$ for $\mathrm{HNO}_{3}(g) .$ The actual value of $\Delta H_{f}^{\circ}$ for $\mathrm{HNO}_{3}(g)$ is $-135 \mathrm{~kJ} / \mathrm{mol}$, which is lower than the estimated value because of stabilization of $\mathrm{HNO}_{3}$ by resonance. The resonance energy is defined as $\Delta H_{f}^{\circ}$ (estimated) $-\Delta H_{f}^{\circ}$ (actual). What is the resonance energy of $\mathrm{HNO}_{3}$ ?

Lottie Adams
Lottie Adams
Numerade Educator
02:19

Problem 106

One resonance formula of benzene, $\mathrm{C}_{6} \mathrm{H}_{6}$, is What is the other resonance formula? What is the geometry about a carbon atom? What hybridization would be used in valence bond theory to describe the bonding? The $\Delta H_{f}^{\circ}$ for $\mathrm{C}_{6} \mathrm{H}_{6}(g)$ is $-83 \mathrm{~kJ} / \mathrm{mol} ; \Delta H_{f}^{\circ}$ for $\mathrm{C}(g)$ is $715 \mathrm{~kJ} / \mathrm{mol} .$ Obtain the resonance
energy of benzene. (See Problem $10.105 .$ )

Lottie Adams
Lottie Adams
Numerade Educator