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122 Special Topic I

Copyright © 2017 Pearson Education, Inc.

Problems on pH,

p

K

a

,

and Buffers

1.

Calculate the pH of each of the following solutions:

a.

1

*

10

-

3

M HCl

b.

0.60 M HCl

c.

1.40

*

10

-

2

M HCl

d.

1

*

10

-

3

M KOH

e.

3.70

*

10

-

4

M NaOH

f.

a 1.20 M solution of an acid with a

p

K

a

=

4.23

g.

1.60

*

10

-

2

M sodium acetate

1

p

K

a

of acetic acid

=

4.76

2

2.

Calculate the pH of each of the following buffer solutions:

a.

A buffer prepared by mixing 20 mL of 0.10 M formic acid and 15 mL of 0.50 M sodium formate

1

p

K

a

of formic acid

=

3.75

2

.

b.

A buffer prepared by mixing 10 mL of 0.50 M aniline and 15 mL of 0.10 M HCl

1

p

K

a

of the anilinium ion

=

4.60

2

.

c.

A buffer prepared by mixing 15 mL of 1.00 M acetic acid and 10 mL of 0.50 M NaOH

1

p

K

a

of acetic acid

=

4.76

2

.

3.

What fraction of a carboxylic acid with a

p

K

a

=

5.23

will be ionized at

pH

=

4.98

?

4.

What will be the concentration of formic acid and sodium formate in a 1.00 M buffer solution with a

pH

=

3.12

1

p

K

a

of formic acid

=

3.75

2

?

5.

You have found a bottle labeled 1.00 M RCOOH. You want to identify the carboxylic acid, so you decide to

determine its

p

K

a

value. How can you do this?

6.

a.

How can you prepare 100 mL of a buffer solution that is 0.30 M in acetic acid and 0.20 M in sodium

acetate using a 1.00 M acetic acid solution and a 2.00 M sodium acetate solution?

b.

The

p

K

a

of acetic acid is 4.76. Will the pH of the above solution be greater or less than 4.76?

7.

You have 100 mL of a 1.50 M acetic acid/sodium acetate buffer solution that has a

pH

=

4.90.

How can

you change the pH of the solution to 4.50?

8.

You have 100 mL of a 1.00 M solution of an acid with a

p

K

a

=

5.62

to which you add 10 mL of 1.00 M

sodium hydroxide. What fraction of the acid will be in the acidic form? How much more sodium hydroxide

will you need to add so that 40% of the acid is in its acidic form (that is, with its proton)?