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Chapter 14 477

Copyright © 2017 Pearson Education, Inc.

73.

Using the formula given on page 621 of the text:

E

=

h

n

=

h

g

2

p

B

0

Given: Planck

,

s constant

=

h

=

6.626

*

10

-

34

Js

1 cal

=

4.184 J

300 MHz

=

7.046 T

1

page 622 of the text

2

g

for

1

H

=

2.675

*

10

8

T

-

1

s

-

1

E

=

h

g

2

p

B

0

=

6.626

*

10

-

34

Js

*

2.675

*

10

8

T

-

1

s

-

1

2

1

3.1416

2

*

1.4092 T

*

1 cal

4.184 J

=

9.50

*

10

-

26

cal

74.

All four spectra show a singlet at

2.0

ppm, suggesting that they are all esters with a methyl group attached

to the carbonyl group. Now the problem becomes determining the nature of the group attached to the oxygen.

C

H

3

C

O

O R

a.

The highest frequency signal in the first spectrum is a triplet that integrates to 2 protons, indicating

that a

CH

2

group is attached to the oxygen and is bonded to another

CH

2

group. The lowest frequency

signal is a triplet that integrates to 3 protons, indicating a methyl group that is attached to a

CH

2

group.

The presence of two multiplets that each integrate to 2 protons confirms the structure.

C

H

3

C O

O

CH

2

CH

2

CH

2

CH

3

b.

The highest frequency signal in the second spectrum is a multiplet that integrates to 1 proton, indicat-

ing that the carbon attached to the oxygen is attached to one proton and two nonequivalent carbons

bonded to hydrogens. The lowest frequency signal is a triplet that integrates to 3 protons, indicating a

methyl group attached to a

CH

2

group. The doublet at

1.2

ppm that integrates to 3 protons is due to a

methyl group attached to a carbon bonded to one hydrogen.

C

CHCH CH

3 2

O

O

CH

3

H

3

C

c.

The highest frequency signal is a doublet that integrates to 2 protons, indicating that the methylene

group that is attached to the oxygen is attached to a carbon bonded to one hydrogen. The lowest fre-

quency signal that integrates to 6 protons indicates two equivalent methyl groups that are attached to a

carbon bonded to one hydrogen.

C

O

O

CH

2

CHCH

3

CH

3

CH

3