1.17: Additional Problems

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1 • Additional Problems 1 • Additional Problems

Visualizing Chemistry

Convert each of the following molecular models into a skeletal structure, and give the formula of each. Only the connections between atoms are shown; multiple bonds are not indicated (black = C, red = O, blue = N, gray = H).

(a)

ball= (b)

Ball and stick model of a three carbon chain; C 1 is carboxyl, C 2 has an N H 2 substituent.

The following model is a representation of citric acid, the key substance in the so-called citric acid cycle, by which food molecules are metabolized in the body. Only the connections between atoms are shown; multiple bonds are not indicated. Complete the structure by indicating the positions of multiple bonds and lone-pair electrons (black = C, red = O, gray = H).

The following model is a representation of acetaminophen, a pain reliever sold in drugstores under a variety of names, including Tylenol. Identify the hybridization of each carbon atom in acetaminophen, and tell which atoms have lone pairs of electrons (black = C, red = O, blue = N, gray = H).

The following model is a representation of aspartame, C₁₄H₁₈N₂O₅, known commercially under many names, including NutraSweet. Only the connections between atoms are shown; multiple bonds are not indicated. Complete the structure for aspartame, and indicate the positions of multiple bonds (black = C, red = O, blue = N, gray = H).

Electron Configurations

Zinc

(b) Iodine (c) Silicon (d) Iron

Potassium

(b) Arsenic (c) Aluminum (d) Germanium

Electron-Dot and Line-Bond Structures

NH_?OH
(b) AlCl_? (c) CF₂Cl_? (d) CH_?O
CH₅
(b) C₂H₆N (c) C₃H₅Br₂
Draw an electron-dot structure for acetonitrile, C₂H₃N, which contains a carbon–nitrogen triple bond. How many electrons does the nitrogen atom have in its outer shell? How many are bonding, and how many are nonbonding?

Draw a line-bond structure for vinyl chloride, C₂H₃Cl, the starting material from which PVC poly(vinyl chloride) plastic is made.

Fill in any nonbonding valence electrons that are missing from the following structures:

(a)

chemical= (b)

Chemical structure of C H 3 C O N H 2 showing no nonbonding pairs. (c)

Chemical structure of C H 3 C O O with a negative on one of the oxygen atoms, showing no nonbonding pairs.

Convert the following line-bond structures into molecular formulas: (a)
(b)
(c)
(d)

Problem 1-30 Convert the following molecular formulas into line-bond structures that are consistent with valence rules: (a)

C₃H₈

(b)

CH₅N (c) C₂H₆O (2 possibilities) (d) C₃H₇Br (2 possibilities) (e) C₂H₄O (3 possibilities) (f) C₃H₉N (4 possibilities)

Draw a three-dimensional representation of the oxygen-bearing carbon atom in ethanol, CH₃CH₂OH, using the standard convention of solid, wedged, and dashed lines.

Oxaloacetic acid, an important intermediate in food metabolism, has the formula C₄H₄O₅ and contains three C

\text{=

Acrylonitrile, C₃H₃N, which contains a carbon–carbon double bond and a carbon–nitrogen triple bond

(b) Ethyl methyl ether, C₃H₈O, which contains an oxygen atom bonded to two carbons (c) Butane, C₄H₁₀, which contains a chain of four carbon atoms (d) Cyclohexene, C₆H₁₀, which contains a ring of six carbon atoms and one carbon–carbon double bond

Hybridization

What is the hybridization of each carbon atom in acetonitrile (Problem 1-26)?

What kind of hybridization do you expect for each carbon atom in the following molecules?

(a)

condensed= (b)

Text saying 2-methylpropene and condensed structural formula of a three-carbon chain laid out left to right with a methyl on the middle carbon and double bond between the right-most carbons. (c)

Text saying but-1-en-3-yne and condensed structural formula of a four-carbon chain laid out left to right with a double bond between the left-most carbons and triple bond between the right-most. (d)

Text saying acetic acid and condensed structural formula of C H 3 C O O H, with a double bond between carbon and one oxygen.

What is the shape of benzene, and what hybridization do you expect for each carbon?

What bond angle do you expect for each of the indicated atoms, and what kind of hybridization do you expect for the central atom in each molecule? (a)
(b)
(c)

Problem 1-38 Propose structures for molecules that meet the following descriptions: (a)

Contains two sp²-hybridized carbons and two sp³-hybridized carbons

(b)

Contains only four carbons, all of which are sp²-hybridized (c) Contains two sp-hybridized carbons and two sp²-hybridized carbons

What kind of hybridization do you expect for each carbon atom in the following molecules: (a)
(b)

Pyridoxal phosphate, a close relative of vitamin B₆, is involved in a large number of metabolic reactions. What is the hybridization and the bond angle for each nonterminal atom?

Skeletal Structures

Convert the following structures into skeletal drawings: (a)
(b)
(c)
(d)

Problem 1-42
How many hydrogens are bonded to each carbon atom in the following substances, and what is the molecular formula of each?
(a)
(b)
(c)

Problem 1-43

Quetiapine, marketed as Seroquel, is a heavily prescribed antipsychotic drug used in the treatment of schizophrenia and bipolar disorder. Convert the following representation into a skeletal structure, and give the molecular formula of quetiapine.

The line-bond structure of Quetiapine (Seroquel).

How many hydrogens are bonded to each carbon atom in (a) the antiinfluenza agent oseltamivir, marketed as Tamiflu, and (b) the platelet aggregation inhibitor clopidogrel, marketed as Plavix? Give the molecular formula of each. (a)
(b)

General Problems

Problem 1-45

Why do you suppose no one has ever been able to make cyclopentyne as a stable molecule?

The skeletal structure of cyclopentyne featuring a triple bond within a five-carbon ring.

Allene, H₂C $\text{=$ ₂, has two adjacent double bonds. Draw a picture showing the orbitals involved in the σ and π bonds of allene. Is the central carbon atom sp²- or sp-hybridized? What about the hybridization of the terminal carbons? What shape do you predict for allene?

Allene (see Problem 1-46) is structurally related to carbon dioxide, CO₂. Draw a picture showing the orbitals involved in the σ and π bonds of CO₂, and identify the likely hybridization of carbon.

Complete the electron-dot structure of caffeine, showing all lone-pair electrons, and identify the hybridization of the indicated atoms.

Most stable organic species have tetravalent carbon atoms, but species with trivalent carbon atoms also exist. Carbocations are one such class of compounds. (a)

How many valence electrons does the positively charged carbon atom have?

(b) What hybridization do you expect this carbon atom to have? (c) What geometry is the carbocation likely to have?

A carbanion is a species that contains a negatively charged, trivalent carbon. (a)

What is the electronic relationship between a carbanion and a trivalent nitrogen compound such as NH₃?

(b) How many valence electrons does the negatively charged carbon atom have? (c) What hybridization do you expect this carbon atom to have? (d) What geometry is the carbanion likely to have?

Divalent carbon species called carbenes are capable of fleeting existence. For example, methylene, :CH₂, is the simplest carbene. The two unshared electrons in methylene can be either paired in a single orbital or unpaired in different orbitals. Predict the type of hybridization you expect carbon to adopt in singlet (spin-paired) methylene and triplet (spin-unpaired) methylene. Draw a picture of each, and identify the valence orbitals on carbon.

Two different substances have the formula C₄H₁₀. Draw both, and tell how they differ.

Two different substances have the formula C₃H₆. Draw both, and tell how they differ.

Two different substances have the formula C₂H₆O. Draw both, and tell how they differ.

Three different substances contain a carbon–carbon double bond and have the formula C₄H₈. Draw them, and tell how they differ.

Among the most common over-the-counter drugs you might find in a medicine cabinet are mild pain relievers such ibuprofen (Advil, Motrin), naproxen (Aleve), and acetaminophen (Tylenol). (a)

How many sp³-hybridized carbons does each molecule have?

(b) How many sp²-hybridized carbons does each molecule have? (c) What similarities can you see in their structures?

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Fill in any nonbonding valence electrons that are missing from the following structures:

What kind of hybridization do you expect for each carbon atom in the following molecules?

Fill in any nonbonding valence electrons that are missing from the following structures:

Convert the following line-bond structures into molecular formulas: (a) (b) (c) (d) Problem 1-30 Convert the following molecular formulas into line-bond structures that are consistent with valence rules: (a)

What kind of hybridization do you expect for each carbon atom in the following molecules?

What bond angle do you expect for each of the indicated atoms, and what kind of hybridization do you expect for the central atom in each molecule? (a) (b) (c) Problem 1-38 Propose structures for molecules that meet the following descriptions: (a)

What kind of hybridization do you expect for each carbon atom in the following molecules: (a) (b) Pyridoxal phosphate, a close relative of vitamin B6, is involved in a large number of metabolic reactions. What is the hybridization and the bond angle for each nonterminal atom?

Convert the following structures into skeletal drawings: (a) (b) (c) (d) Problem 1-42 How many hydrogens are bonded to each carbon atom in the following substances, and what is the molecular formula of each? (a) (b) (c) Problem 1-43

How many hydrogens are bonded to each carbon atom in (a) the antiinfluenza agent oseltamivir, marketed as Tamiflu, and (b) the platelet aggregation inhibitor clopidogrel, marketed as Plavix? Give the molecular formula of each. (a) (b) General Problems Problem 1-45