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Monoprotic Acids and Base Equilibria: Strong and Weak Acids, Buffers, and Titrations, Study notes of Accounting

The concepts of monoprotic acids, their equilibria, and their role in acid-base titrations. It includes discussions on strong and weak acids, buffers, and the calculation of pH using the Henderson-Hasselbalch equation. It also provides examples of acid-base reactions and their corresponding equilibrium constants.

Typology: Study notes

2021/2022

Uploaded on 09/12/2022

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Monoprotic Acid-Base Equilibria (CH
10)
{Chapter 10 – monoprotic acids
zA monoprotic acid can donate one proton.
zThis chapter includes buffers; a way to ‘fix’ the pH.
{Chapter 11 – polyprotic acids
zA polyprotic acid can donate multiple protons.
zThis chapter is just an extension of chapter 10.
{Chapter 12 – acid base titrations.
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Monoprotic Acid-Base Equilibria (CH10)

Chapter 10 – monoprotic acids

z

A monoprotic acid can donate one proton.

z

This chapter includes buffers; a way to ‘fix’ the pH.

Chapter 11 – polyprotic acids

z

A polyprotic acid can donate multiple protons.

z

This chapter is just an extension of chapter 10.

Chapter 12 – acid base titrations.

Strong acids and basesAccounting for activity, calculate the pH of 0.10 M HCl. z

HCl is a strong acid, so it totally dissociates.

{

Table 6-

{

The concentration of H

will be 0.10 M.

z

Solution:

{

The ionic strength of 0.10 M HCl is 0.10 M, at which theactivity coefficient of H

is 0.83 (Table 8-1).

{

The pH is –log

A

H+

{

pH = -log[H

]

γ

H+

= -log(0.10)(0.83)=1.

z

If you know [H

], you can always find [OH

] {or vice versa}.

{

Because [H

][OH

-^ ] = Kw =1.0 x 10

{

AND pH + pOH = 14.

Weak acids and bases {review}

z

Weak acid dissociation:

z

Weak base dissociation:

Remember, a base is a proton acceptor. Just because you seeOH

-^

doesn’t imply base.

z

Always!^ {

The conjugate base of a weak acid is a weak base.

The conjugate acid of a weak base is a weak acid.

[B]

]

OH

][

BH

[

K

OH

BH

O

H

B

b K

2

  • b

[HA]

]

A

][

H

[

K

A

H

HA

a K

a

w

b

a^

K

K

K

Implies

Weak-acid equilibria z

Consider a weak acid HA that has a given Ka. Find the pH of the solution:

z

What are the pertinent reactions?

z

What is the charge balance?

[H

]=[A

-^ ] + [OH

-^ ]

z

What is the mass balance?

Let’s call the formal concentration F.

F = [A

-^ ] + [HA]

z

Equilibria:

OH

H

O

H

A

H

HA

w a K

2

K

Formal concentration

is the total number of moles of a compound dissolved in a liter.

The formal concentration of a weak acid is the total amount of HA placed in the solution.

[HA]

]

A

][

H

[

K

a

]

OH

][

H

[

K

w

Weak-acid equilibria z

When dealing with a weak acid, you should immediatelyrealize that [H

]

[A

]

x

Unless the acid is very dilute or too weak.

This results in using the quadratic formula!

In a solution of a weak acid, [H

] is derived almost entirely from

the weak acid, not from the H

2

0 dissociation.

z

Unless the acid is very dilute or too weak.

x

F

x

x

F

x

x

a

[HA]

]

A

][

H

[

K

Weak-acid equilibria: A possibleapproximation. z

The quadratic formula can always be used to solve weak acidproblems.

Unless the acid is very dilute or too weak.

z

However, the problem is even easier if you can neglect

x

from

the denominator.

z

This can

ONLY

be done if

x

is

MUCH

smaller than [HA].

How do I know if

x

is much smaller than [HA]?

z

Make the approximation and solve the problem.

z

If your answer supports your assumption then your answer is fine.

z

Suppose you are given that [HA] is 0.1 M and you find [A

-^ ] to be

1x

, then you are safe to say that

x

= [A

-^ ] << [HA].

x^ F

x

F

x

a

K

Weak-base equilibria z

The treatment of weak bases is almost the same as thatof weak acids.

z

We suppose that nearly all of the OH

comes from the

reaction of B + H

2

0 and little comes from the dissociation

of water.

z

The formal concentration of base will be:

[B] = F - [BH

] = F – x

because F = [B] + [BH

]

[B]

]

OH

][

BH [

K

OH

BH

O

H

B

b K

2

=

→

  • b

Weak-base equilibria example

Find the pH of 0.10 M ammonia. {It’s not 13.} z

Pertinent reactions:

NH

3

+ H

2

O

NH

4

+ OH

H

2

O

H

+ OH

z

Woops, we have no K

b

tables in our text.

But, K

a

x K

b

= K

w

, and Ka for NH

4

is listed in our table at the back of

the book.

K

b

=K

w

/K

a

z

To find the pH of 0.10 M NH

3

, we set up and solve the equation

If we let x = [NH

4

], the x also = [OH

-^ ] through stoichiometry.

Also, [NH

3

] = F – x where F = 0.10 M.

5

(^00).

14

w a

b

3

4

10

75 . 1

10

70 . 5

10

K K

K

]

[NH

]

][OH

[NH

10

× = × = = =

5

2

10

75 . 1

1 . 0

F

)

)(

(

×

=

=

x

x

x x

x

Weak-base equilibria examplecontinuedFind the pH of 0.10 M ammonia. {It’s not 13.} z

Find the pH now that we know [OH

-^ ]

= x

= 1.31 x

M.

pOH = -log(1.31 x 10

pH = 14.00 – pOH = 14.00 – 2.88 = 11.

z

The solution is less basic than if the ammonia was totally dissociated.