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108 Chapter 2

Copyright © 2017 Pearson Education, Inc.

77.

In each problem, we define

3

H

+

4

=

x

.

Then

3

A

-

4

is also

x

. In part

a

, because we have a 1.0 M solution,

3

HA

4

=

1.0

-

x

;

in part

b

, because we have a 0.1 M solution,

3

HA

4

=

0.1

-

x

.

a. 

K

a

=

3

H

+

4 3

A

-

4

3

HA

4

1.74

*

10

-

5

=

x

2

1.0

-

x

1.74

*

10

-

5

=

x

2

x

=

4.16

*

10

-

3

pH

=

2.38

b. 

K

a

=

3

H

+

4 3

A

-

4

3

HA

4

2.00

*

10

-

11

=

x

2

0.1

-

x

2.00

*

10

-

12

=

x

2

x

=

1.41

*

10

-

6

pH

=

5.85

c.

This question can be answered by plugging the given concentrations into the Henderson–Hasselbalch

equation.

p

K

a

=

pH

+

log

3

acid

4 3

base

4

3.76

=

pH

+

log

0.3

0.1

3.76

=

pH

+

log 3

3.76

=

pH

+

0.48

pH

=

3.76

-

0.48

=

3.28