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228 Chapter 6

Copyright © 2017 Pearson Education, Inc.

7.

 Both

cis

- and

trans

-2-butene form these products; a product with one asymmetric center is

formed, so the product is a racemic mixture.

CH

2

CH

3

C

H

OH

CH

2

CH

3

C

CH

3

H

HO

+

CH

3

OH

CH

2

CH

3

H

or

CH

3

H

CH

2

CH

3

HO

+

S

R

S

R

CH

3

8.

 Both

cis

- and

trans

-2-butene form these products; a product with one asymmetric center is

formed, so the product is a racemic mixture.

CH

2

CH

3

C

H

OCH

3

CH

2

CH

3

C

CH

3

H

CH

3

O

+

CH

3

OCH

3

CH

2

CH

3

H

or

CH

3

H

CH

2

CH

3

CH

3

O

+

S

R

S

R

CH

3

b.

For

cis

- and

trans

-2-butene to form different products, (1) the reaction must form a product with two new

asymmetric centers and (2) either syn or anti addition must occur (but not both). Therefore, the

cis

- and

trans

-2-butene form different products when they react with a peroxyacid, with Br

2

, and with Br

2

in H

2

O.

71.

a.

CH

3

CH

3

Br

CH

CH

3

CH

3

3

Br

Br

Br Br

OH

OCH

3

OCH

3

+

b.

The addition of Br

2

/CH

3

OH is anti. In the second step of the reaction, CH

3

OH can add to the cyclic

bromonium ion from the top of the plane or from the bottom of the plane. The products are a pair of

enantiomers.

72.

a.

To determine relative rates, the rate constant of each alkene is divided by the smallest rate constant of

the series

1

3.51

*

10

-

8

2

.

relative rates

propene

=

1

4.95

*

10

-

8

2>1

3.51

*

10

-

8

2

=

1.41

1

Z

2

@

2

@

butene

=

1

8.32

*

10

-

8

2>1

3.51

*

10

-

8

2

=

2.37

1

E

2

@

2

@

butene

=

1

3.51

*

10

-

8

2>1

3.51

*

10

-

8

2

=

1

2

@

methyl

@

2

@

butene

=

1

2.15

*

10

-

4

2>1

3.51

*

10

-

8

2

=

6.12

*

10

3

2,3

@

dimethyl

@

2

@

butene

=

1

3.42

*

10

-

4

2>1

3.51

*

10

-

8

2

=

9.74

*

10

3

b.

Both compounds form the same carbocation but, because (

Z

)-2-butene is less stable than

E

-2-butene,

(

Z

)-2-butene has a smaller free energy of activation.

c.

2-Methyl-2-butene is more stable than (

Z

)-2-butene, and it forms a more stable carbocation intermedi-

ate (tertiary) and, therefore, a more stable transition state than does (

Z

)-2-butene (secondary). Knowing

that 2-methyl-2-butene reacts faster tells us that the energy difference between the transition states

is greater than the energy difference between the alkenes. This is what we would expect from the

Hammond postulate, because the transition states look more like the carbocations than like the alkenes.

d.

2,3-Dimethyl-2-butene is more stable than 2-methylbutene, and both compounds form a tertiary carboca-

tion intermediate. On this basis, you would predict that 2,3-dimethyl-2-butene would react more slowly

than 2-methylbutane. However, 2,3-dimethyl-2-butene has two

sp

2

carbons that can react with a proton to

form the tertiary carbocation, whereas 2-methyl-2-butene has only one. The fact that 2,3-dimethyl-2-butene

reacts faster in spite of being more stable tells us that the more important factor is the greater number of

collisions with the proper orientation that lead to a productive reaction in the case of 2,3-dimethyl-2-butene.