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Chapter 1

87

Copyright © 2017 Pearson Education, Inc.

63.

formal charge

=

number of valence electrons

-

(number of lone-pair electrons

+

the number of bonds)

In all four compounds, H has a single bond and is neutral and each C has four bonds and is neutral.

Thus, the indicated formal charge is for O or N.

a. 

H C

H

H

O H

formal charge

6

(4

+

2)

=

0

b. 

+

H C

H

H

O H

H

formal charge

6

(2

+

3)

= +

1

 c.

H C

H

H

O

formal charge

6

(6

+

1)

= −

1

d. 

H C

H

H

N H

H

formal charge

5

(2

+

3)

=

0

64.

The open arrow in the structures points to the shorter of the two indicated bonds in each compound.

1. 

CH

3

CH

sp

3

CHC CH

sp sp

sp

2

sp

2

2. 

sp

3

CH

3

CCH

2

OH

O

sp

2

sp

2

sp

3

sp

3

3. 

CH

3

NHCH

2

CH

2

N

sp

3

sp

2

CHCH

3

sp

2

sp

3

sp

3

sp

3

sp

3

4. 

C CHC C

sp

sp

2

H

H

H

sp

2

sp

5. 

C CHC C

sp

2

C

H

H

sp

2

sp sp

CH

3

CH

3

H

sp

3

sp

3

6. 

Br

Cl

CH

2

CH

2

CH

2

sp

3

sp

3

sp

3

For

1

,

2

, and

3

:

A triple bond is shorter than a double bond, which is shorter than a single bond.

For

4

and

5

:

The greater the

s

character in the hybrid orbital, the shorter the bond formed

using that orbital, because an

s

orbital is closer than a

p

orbital to the nucleus.

Therefore, the bond formed by a hydrogen and an

sp

carbon is shorter than the bond

formed by a hydrogen and an

sp

2

carbon, which is shorter than the bond formed by a

hydrogen and an

sp

3

carbon. (See Table 1.7 on page 42 of the text.)

For

6

:

Cl forms a bond using a

3

sp

3

orbital, and Br forms a bond using a

4

sp

3

orbital.

Therefore, the

C

¬

Cl

bond is shorter.