Solutions for the problems about „Calculation of pH in the case of monoprotic
acids and bases”
1. What is the pH of a 0.1 M acetic acid solution?
Acetic acid is a weak acid with Ka = 1.86 × 10–5 and in this case cweak acid >>> Ka,
that is the equation to use is:
[H+
] = a acidweak K ⋅ c = 1.0)1086.1( 5 ×× − = 0.0013638 M
pH = -log[H+
] = -log(0.0013638) = 2.865
2. What is the pH of a 0.1 M ammonia solution?
Ammonia is a weak base with Kb = 1.75 × 10–5 and in this case cweak base >>> Kb,
that is the equation to use is:
[OH–
] = b baseweak K ⋅ c = 1.0)1075.1( 5 ×× − = 0.0013229 M
pOH = -log[OH-
] = -log(0.0013638) = 2.878
pH = 14.00 – pH = 14.00 – 2.878 = 11.122
3. What is the pH of a 0.1 M sodium acetate solution?
Sodium acetate is a weak base, a conjugate base of acetic acid, so:
Ka × K = KW that is acidacetic
a
acetate W
b K
K K = = 5-
-14
101.86
10
×
= 5.376 × 10-10
In this case cweak base >>> Kb, that is the equation to use is:
[OH–
] = b baseweak K ⋅ c = 1.0)10376.5( 10 ×× − = 7.332 × 10-6 M
pOH = -log[OH-
] = -log(7.332 × 10-6) = 5.135
pH = 14.00 – pH = 14.00 – 2.878 = 8.865
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