Example 1. Given that 0.4 mole sodium
acetate (NaAc) plus 0.1 mole acetic acid (HAc) yields a pH of 5.36 when
mixed, what is the pKa of acetic acid?
HAc º
Ac- + H+ pH = pKa
+ log[Ac-]/ [HAc]
5.36 = pKa + log 0.4/0.1
5.36 = pKa + log 4
pKa = 5.36 - 0.602 = 4.76
Example 2. Mixing 0.4 moles of CH3CH2NH3+ and 0.1 moles of CH3CH2NH2 gives a pH of 8.3. What is the pKa of ethylamine?
8.3 = pKa + log 0.1/0.4 base/acid
8.3 = pKa -0.602
pKa = 8.9
If 0.2 mole of OH- is added, what is the new pH?
CH3CH2NH3+ º CH3CH2NH2 + H+
CH3CH2NH3+
+ OH- º
CH3CH2NH2
+ H2O
0.4 mole
0.1 mole
to
to
0.2 mole
0.3 mole
pH = pKa + log base/acid
pH = 8.9 + log 0.3/0.2
pH = 8.9 +0.18 or pH = 9.08