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Ionic Equilibria
Ionic Equilibria
Acid-Base
- Acid/ Base/ Salt/ Buffer
- Titration Curve/ Indicator

Solubility
- Dissolving
- Precipitation
Acid/ Base Equilibria
Ionic Equilibria

- only valid at 25⁰C

p = -log10
At 25°C:
pH + pOH = pKw = 14
pKa + pKb = 14
[H+][OH–] = 10-14
Ka × Kb = Kw = 10-14
Problem Solving

Approach
1. Determine what is in solution:

- Acid/ Base/ Salt/ Buffer
2. Apply the corresponding eqns
Acid/ Base
strong acid

weak acid

[H+] = [HA]

[H+] = Ka [HA]

pH = -log [HA]

pH = -log [H+]

strong base

weak base

[OH–] = [B]

[OH–] = Kb [B]

pOH = -log [B]

pOH = -log [OH–]
Salt
How to determine if salt is acidic/ basic/ neutral?
1.
2.

Split the salt into its ions.
Determine the parent acid/ base of the ions:
Acid

Base

Salt

Strong

Strong

Neutral

Strong

Weak

Acidic
conj acid of weak base hydrolyses H2O to form H+

Weak

Strong

Basic
conj base of weak acid hydrolyses H 2O to form OH–

Weak

Weak

Depends
Salt
Nature of salt

Formed from

Finding pH

Neutral

strong acid
+ strong base

=7

Acidic

strong acid +
weak base

treat as weak acid;

Basic

weak acid +
strong base

conj acid of weak base hydrolyses H2O
to form H+

use weak acid formula
treat as weak base;
conj base of weak acid hydrolyses H2O
to form OH–

use weak base formula
Salt
How to calculate pH of a salt solution:
[H3O+] = Ka × [salt]

[OH–] = Kb × [salt]

1.

Find Ka/ Kb of the ion from Kb/ Ka of the parent acid/ base  use Kw

2.

Find [salt] =

n (limiting reagent)
Vtotal
Vtotal = Vacid + Vbase
Buffer
Type

Formed from

pH

Acidic

weak acid +
conjugate base

<7

weak base +
conjugate acid

>7

Basic

pH = pKa + log

[salt]
[acid]

[salt]
pOH = pKb + log
[base]
Buffer
How to calculate pH of a buffer on adding small amounts of
H+ and OH–:
1. Determine which species is reacted and which is formed.
2. Calculate new amounts (in moles)
3. Substitute into buffer equation.
Buffer
1. When using buffer equation, just substitute no. of moles of salt
and acid/base since total volume is the same and cancels out.
nsalt/V
pH = pKa + log
nacid/V
2. Look out for [salt] = [acid] which simply means pH = pKa (same
for basic buffer)
3. When unsure if buffer is acidic or basic, look at pKa
e.g. HCO3–/CO32–

pKa = 10

since pKa is large, buffer is more basic than acidic
 use basic buffer formula
Titration Curve
There are three important points in a titration curve.
e.g. titration of weak acid against strong base
Titration Curve
Titration curve

What to observe What can be found

1

Initial pt

- pH

2

Equivalence pt

- pH

3

Half
equivalence pt

[H+] due to dissociation of
acid

[H+] due to hydrolysis of
salt;
- volume of base Given [base], [acid] can
be found and vice versa
- pH
pKa of acid
Titration Curve
Calculate pH at various points in titration curve:
1.
2.
3.
4.

At the beginning
In the middle (sometimes at half eq. pt)
At equivalence pt
Beyond eq. pt.

Strategy
1.
2.

Determine what is in solution
- Acid/ Base/ Salt/ Buffer
Use the relevant eqns
Titration Curve
e.g. titration of weak acid against strong base

Titration curve

What is in solution Equations

Initial pt

weak acid

Between initial acidic buffer
pt and
equivalence pt
At equivalence acidic salt
pt
Beyond
equivalence pt

strong base

pH = -log Ka × [acid]
[salt]
pH = pKa + log
[acid]
pH = -log Ka × [salt]
pOH = -log [B]