Which statement most accurately distinguishes valence-bond theory from molecular orbital theory?
10 Hybridization and Molecular Orbital Theory Online Quiz Questions
Use this free practice quiz with 20 questions to review 10 Hybridization and Molecular Orbital Theory, test your knowledge, and prepare for your next test or exam.
Which description correctly matches orbital overlap to the bond type it forms?
- A
End-to-end overlap along the internuclear axis forms a sigma bond; side-by-side overlap of parallel p orbitals forms a pi bond.
- B
Side-by-side overlap along the internuclear axis forms a sigma bond; end-to-end overlap of parallel p orbitals forms a pi bond.
- C
Both sigma and pi bonds form only through end-to-end overlap along the internuclear axis.
- D
Both sigma and pi bonds form only through side-by-side overlap of parallel p orbitals.
An atom combines one s orbital and two p orbitals to form hybrid orbitals. Which set results?
- A
Two sp hybrids and one unhybridized s orbital
- B
One sp hybrid and two unhybridized p orbitals
- C
Three sp² hybrids
- D
Four sp³ hybrids
For the carbon atom in CO₂, count each double bond as one electron-density region. Which hybridization and approximate arrangement follow from that count?
- A
Three regions; sp² hybridization; trigonal planar arrangement
- B
Two regions; sp hybridization; linear arrangement
- C
Four regions; sp³ hybridization; tetrahedral arrangement
- D
Two regions; sp² hybridization; linear arrangement
In ethene, each carbon has three electron-density regions. Which account correctly connects that count to the bonding in the C=C double bond?
- A
Each carbon is sp³ hybridized, and all four hybrids on each carbon form sigma bonds.
- B
Each carbon is sp hybridized, and two unhybridized p orbitals form two pi bonds.
- C
Each carbon is sp² hybridized, and an unhybridized p orbital on each carbon forms the pi part of the C=C bond.
- D
Each carbon is sp² hybridized, and its three hybrid orbitals form the pi part of the C=C bond.
Oxygen in water is commonly described as sp³ hybridized. Which explanation best accounts for the H–O–H angle being about 104.5° rather than the ideal tetrahedral angle of 109.5°?
- A
Two hybrids hold lone pairs and two form bonds; unequal repulsions make the angle about 104.5° rather than 109.5°.
- B
All four hybrids form bonds, so the angle remains exactly 109.5°.
- C
Two hybrids hold lone pairs and two form bonds; the angle is about 120° because oxygen is sp² hybridized.
- D
One hybrid holds a lone pair and three form bonds; the angle is about 104.5°.
In the LCAO approach, which conditions favor effective combination of two atomic orbitals?
- A
They must have identical energies, even if their shapes and symmetry are incompatible.
- B
They must be on the same atom, regardless of energy or symmetry.
- C
They must have opposite symmetry and widely different energies.
- D
They must have suitable energies and compatible shapes and symmetry.
Which comparison correctly describes the energy and internuclear electron density of bonding and antibonding molecular orbitals?
- A
A bonding MO is higher in energy with a node between nuclei; an antibonding MO is lower in energy with increased density between nuclei.
- B
A bonding MO is lower in energy with increased density between nuclei; an antibonding MO is higher in energy with a node between nuclei.
- C
Both types are lower in energy than the atomic orbitals and increase electron density between nuclei.
- D
Both types have a node between nuclei; the asterisk marks the one with lower energy.
Two electrons are to be placed in two equal-energy molecular orbitals. Which arrangement follows Hund’s rule?
- A
Place one electron in each orbital with parallel spins.
- B
Pair both electrons in one orbital before using the other.
- C
Place one electron in each orbital with opposite spins.
- D
Place both electrons in the higher-energy orbital.
When ordering the 2p-derived molecular orbitals for a second-period homonuclear diatomic molecule in the range B₂ through N₂, which ordering should be used?
- A
The sigma(2p) orbital lies below the pi(2p) orbitals for B₂ through N₂.
- B
The pi(2p) orbitals lie below the sigma(2p) orbital only for O₂ and F₂.
- C
The pi(2p) orbitals lie below the sigma(2p) orbital for B₂ through N₂.
- D
The sigma(2p) and pi(2p) orbitals have the same energy for B₂ through N₂.
A molecule has six electrons in bonding molecular orbitals and two in antibonding molecular orbitals. Using bond order=2Nbonding−Nantibonding, what is its bond order?
- A
1
- B
2
- C
3
- D
4
The MO filling for O2 places its last two electrons in separate equal-energy π∗ orbitals. Which conclusion follows, and what limitation of a basic Lewis structure does this illustrate?
- A
O2 is diamagnetic because its electrons pair in the π∗ orbitals.
- B
O2 is paramagnetic because it has one unpaired electron in a bonding σ orbital.
- C
O2 is diamagnetic because a double bond requires all electrons to be paired.
- D
O2 is paramagnetic because its last two electrons occupy separate equal-energy π∗ orbitals, leaving two unpaired electrons; a basic Lewis structure does not account for these unpaired electrons.
An atom has one double bond, one single bond, and one lone pair. Using the introductory electron-region rule, which hybridization is commonly assigned to that atom?
- A
sp
- B
sp²
- C
sp³
- D
unhybridized p
In the valence-bond description, how is a typical triple bond assembled from orbital overlaps?
- A
Three sigma bonds
- B
Two sigma bonds and one pi bond
- C
One sigma bond and two pi bonds
- D
One sigma bond and one pi bond
Water's oxygen is commonly described as sp³ hybridized. Which conclusion best reconciles that description with the observed H–O–H angle of about 104.5°?
- A
Its angle is 109.5° because sp³ hybridization requires that exact angle.
- B
Its angle is about 120° because oxygen has two bonds.
- C
Its angle is 180° because the two O–H bonds are equivalent.
- D
Its angle is about 104.5° because electron regions do not repel equally.
Which comparison correctly distinguishes a bonding molecular orbital from its antibonding counterpart?
- A
A bonding MO is lower in energy with increased density between the nuclei; an antibonding MO is higher in energy with a node between them.
- B
A bonding MO is higher in energy with a node between the nuclei; an antibonding MO is lower in energy with density between them.
- C
Both are lower in energy, but only the antibonding MO extends over both atoms.
- D
Both have a node between the nuclei, but only the bonding MO is marked with an asterisk.
Two atomic orbitals are being considered for combination in an LCAO description. Which set of conditions supports effective combination?
- A
They must have identical energies; their shapes and symmetry do not matter.
- B
They must have opposite spins and belong to different atoms.
- C
They must have suitable energies and compatible shapes and symmetry.
- D
They must be hybrid orbitals directed along the internuclear axis.
A set contains two molecular orbitals of equal energy, and two electrons are to be placed in that set. Which arrangement follows Hund's rule?
- A
Both electrons pair in one orbital because it is lowest in energy.
- B
The electrons occupy separate equal-energy orbitals before either orbital is paired.
- C
One electron occupies an antibonding orbital only if the bonding orbitals are full.
- D
The electrons must occupy orbitals of different energies.
When filling the 2p-derived molecular orbitals of O₂, which ordering must be used?
- A
In O₂, π(2p) lies below σ(2p), as it does in B₂ through N₂.
- B
In O₂, σ(2p) and π(2p) have the same energy.
- C
In O₂, σ(2p) lies above π(2p), as it does in B₂ through N₂.
- D
In O₂, σ(2p) lies below π(2p), unlike the ordering in B₂ through N₂.
An MO configuration has eight electrons in bonding orbitals and three in antibonding orbitals. What is its bond order?
- A
2.5
- B
2
- C
3
- D
5.5