Buffer Solutions & Common Ion Effect
Master the equilibrium that resists change. Decode the Henderson-Hasselbalch equation, calculate buffer capacity, and avoid the notorious in-situ mixing traps.
Module Focus
Normally, adding a single drop of strong acid to water drastically drops its pH. A Buffer Solution is a special mixture designed to resist this change in pH upon the addition of small amounts of acid or base. The entire mechanism of a buffer relies on the Common Ion Effect. In competitive exams, you must be able to identify buffer pairs, use the Henderson-Hasselbalch equation, and spot "hidden" buffers created during neutralization.
1. The Common Ion Effect
The common ion effect is a direct consequence of Le Chatelier's Principle. It is defined as the suppression of the degree of dissociation ($\alpha$) of a weak electrolyte by the addition of a strong electrolyte containing a common ion.
Example Mechanism
Consider a weak acid, Acetic Acid ($CH_3COOH$), which partially dissociates:
Now, we add a strong electrolyte, Sodium Acetate ($CH_3COONa$), which completely dissociates:
$CH_3COONa(aq) \rightarrow \mathbf{CH_3COO^-(aq)} + Na^+(aq)$
2. Buffer Solutions
A buffer solution resists changes in its pH when small amounts of a strong acid or strong base are added, or when it is diluted.
Mixture of a Weak Acid (WA) and its Salt with a Strong Base (WA-SB).
- $CH_3COOH + CH_3COONa$
- $HCN + KCN$
- $H_2CO_3 + NaHCO_3$ (Blood Buffer)
Mixture of a Weak Base (WB) and its Salt with a Strong Acid (WB-SA).
- $NH_4OH + NH_4Cl$
- $NH_4OH + (NH_4)_2SO_4$
Note: Simple Buffer - A salt of a weak acid and a weak base (e.g., $CH_3COONH_4$) acts as a buffer on its own because both its cation and anion undergo hydrolysis.
3. The Henderson-Hasselbalch Equation
This equation is used to calculate the exact pH or pOH of a buffer solution.
For Acidic Buffers
Or more accurately: $pH = pK_a + \log \frac{[\text{Conjugate Base}]}{[\text{Weak Acid}]}$
For Basic Buffers
Don't forget! $pH = 14 - pOH$
Since the Salt and the Acid/Base are in the same solution volume (V), the volume term in the concentration ratio cancels out.
You can directly use the number of moles (or millimoles) in the Henderson equation:
4. Buffer Capacity & Buffer Range
Buffer Capacity ($\beta$): A quantitative measure of a buffer's resistance to pH change. It is defined as the number of moles of strong acid or strong base required to be added to 1 Litre of buffer to change its pH by exactly 1 unit.
A buffer solution is most effective (has maximum capacity) when the concentration of the salt is exactly equal to the concentration of the weak acid/base.
Buffer Range: The useful pH range of an acidic buffer is $pK_a \pm 1$.
(The ratio of $[\text{Salt}]/[\text{Acid}]$ must be between $\frac{1}{10}$ and $\frac{10}{1}$).
5. The Ultimate NEET Trap: In-Situ Buffers
Examiners rarely give you a direct mixture of a weak acid and its salt. Instead, they give you a neutralization reaction that results in a buffer.
If you mix a Weak Acid (WA) and a Strong Base (SB), and the Weak Acid is in excess, the resulting mixture is an Acidic Buffer!
- 1. Initial millimoles:
WA ($CH_3COOH$) = $100 \times 0.2 = \mathbf{20 \text{ mmol}}$
SB ($NaOH$) = $50 \times 0.2 = \mathbf{10 \text{ mmol}}$ - 2. Reaction: $CH_3COOH + NaOH \rightarrow CH_3COONa + H_2O$
- 3. The 10 mmol of NaOH will completely consume 10 mmol of the weak acid to produce 10 mmol of Salt ($CH_3COONa$).
- 4. Leftovers in container:
Unreacted WA = $20 - 10 = \mathbf{10 \text{ mmol}}$
Formed Salt = $\mathbf{10 \text{ mmol}}$
Apply Henderson eq: $pH = pK_a + \log(\frac{10}{10}) = pK_a$.
Rule of Thumb: Partial Neutralization of a Weak Electrolyte = Buffer.
NEET Grand Test: Buffer Solutions
15 High-Order Thinking Questions testing Henderson math, in-situ traps, and buffer capacity.
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