224 ❯ STEP 4. Review the Knowledge You Need to Score High
but also interfere with each other. Predictions require a comparison of the K values for the
two ions. The larger K value predominates. If the larger value is Ka, the solution is acidic. If
the larger value is Kb, the solution is basic. In the rare case where the two values are equal,
the solution would be neutral.
The following table summarizes this information:
CATION FROM ANION FROM SOLUTION
Strong Base Strong Acid Neutral
Strong Base Weak Acid Basic
Weak Base Strong Acid Acidic
Weak Base Weak Acid Must be determined by comparing K values
For example, suppose you are asked to determine if a solution of sodium carbonate,
Na 2 CO 3 , is acidic, basic, or neutral. Sodium carbonate is the salt of a strong base (NaOH)
and a weak acid (HCO 3 - ). Salts of strong bases and weak acids are basic salts. As a basic salt,
we know the final answer must be basic (pH above 7).
Buffers
Buffers are solutions that resist a change in pH when an acid or base is added to them. The
most common type of buffer is a mixture of a weak acid and its conjugate base. The weak
acid will neutralize any base added, and the weak base of the buffer will neutralize any acid
added to the solution. The hydronium ion concentration of a buffer can be calculated using
an equation derived from the Ka expression:
[HO]+ =×K −
[HA]
3a[A]
Taking the negative log of both sides yields the Henderson–Hasselbalch equation,
which can be used to calculate the pH of a buffer:
+
−
pH=plK og
[A ]
a [HA]
The weak base Kb expression can also be used giving:
− =×+ =+
+
[OH] KK
[B]
[HB]
andpOH plog
[HB]
bb[B]
These equations allow us to calculate the pH or pOH of the buffer solution knowing
K of the weak acid or base and the concentrations of the conjugate weak acid and its con-
jugate base. Also, if the desired pH is known, along with K, the ratio of base to acid can be
calculated. The more concentrated these species are, the more acid or base can be neutralized
and the less the change in buffer pH. This is a measure of the buffer capacity, the ability
to resist a change in pH.
Let’s calculate the pH of a buffer. What is the pH of a solution containing 2.00 mol of
ammonia and 3.00 mol of ammonium chloride in a volume of 1.00 L?
=×
++
−
+−
K 1.81 10
NHHONHOH
b
5
32 4