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NCERT Exemplar · Q27

Q.Arrange the following in increasing order of pH.
KNO3 (aq), CH3COONa (aq), NH4Cl (aq), C6H5COONH4 (aq)

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The pH of aqueous salt solutions depends on the hydrolysis of their constituent ions. By identifying the parent acid and base for each salt, we can determine if the solution is acidic, basic, or neutral. The increasing order of pH is NH4_4Cl < C6_6H5_5COONH4_4 < KNO3_3 < CH3_3COONa.

When a salt dissolves in water, its constituent ions may react with water molecules in a process called hydrolysis. This reaction can produce H3_3O+^+ or OH−^- ions, thereby changing the pH of the solution from neutral. The extent of hydrolysis, and thus the resulting pH, depends on the strengths of the parent acid and base from which the salt is formed.

Here's how we classify salts based on their parent acid and base:

  • Salt of Strong Acid and Strong Base: Neither ion hydrolyzes significantly. The solution remains neutral, with pH ≈7\approx 7.
  • Salt of Strong Acid and Weak Base: The cation (conjugate acid of the weak base) hydrolyzes to produce H3_3O+^+. The solution becomes acidic, with pH <7< 7.
  • Salt of Weak Acid and Strong Base: The anion (conjugate base of the weak acid) hydrolyzes to produce OH−^-. The solution becomes basic, with pH >7> 7.
  • Salt of Weak Acid and Weak Base: Both the cation and anion hydrolyze. The pH of the solution depends on the relative strengths of the conjugate acid and conjugate base, specifically on the comparison between the KaK_a of the conjugate acid and the KbK_b of the conjugate base.
    • If Ka(conjugate acid)>Kb(conjugate base)K_a(\text{conjugate acid}) > K_b(\text{conjugate base}), the solution is acidic.
    • If Ka(conjugate acid)<Kb(conjugate base)K_a(\text{conjugate acid}) < K_b(\text{conjugate base}), the solution is basic.
    • If Ka(conjugate acid)≈Kb(conjugate base)K_a(\text{conjugate acid}) \approx K_b(\text{conjugate base}), the solution is nearly neutral.

Let's analyze each given salt:

  1. KNO3_3 (aq)

    • Parent Acid and Base: KNO3_3 is formed from a strong acid, nitric acid (HNO3_3), and a strong base, potassium hydroxide (KOH).
    • Hydrolysis: The K+^+ ion is the conjugate acid of a strong base (KOH), and the NO3−_3^- ion is the conjugate base of a strong acid (HNO3_3). Neither K+^+ nor NO3−_3^- hydrolyzes significantly in water.
    • Conclusion: The solution remains neutral.
      • pH ≈7\approx 7.
  2. CH3_3COONa (aq)

    • Parent Acid and Base: CH3_3COONa is formed from a weak acid, acetic acid (CH3_3COOH), and a strong base, sodium hydroxide (NaOH).
    • Hydrolysis: The Na+^+ ion (from NaOH) does not hydrolyze. The CH3_3COO−^- ion (conjugate base of CH3_3COOH) hydrolyzes:

CH3COO−(aq)+H2O(l)⇌CH3COOH(aq)+OH−(aq)\text{CH}_3\text{COO}^- (aq) + \text{H}_2\text{O} (l) \rightleftharpoons \text{CH}_3\text{COOH} (aq) + \text{OH}^- (aq)

    This reaction produces hydroxide ions (OH$^-$).
*   **Conclusion**: The solution is basic.
    *   pH $> 7$.

3. NH4_4Cl (aq)

* Parent Acid and Base: NH4_4Cl is formed from a strong acid, hydrochloric acid (HCl), and a weak base, ammonia (NH3_3).

* Hydrolysis: The Cl−^- ion (from HCl) does not hydrolyze. The NH4+_4^+ ion (conjugate acid of NH3_3) hydrolyzes:

NH4+(aq)+H2O(l)⇌NH3(aq)+H3O+(aq)\text{NH}_4^+ (aq) + \text{H}_2\text{O} (l) \rightleftharpoons \text{NH}_3 (aq) + \text{H}_3\text{O}^+ (aq)

    This reaction produces hydronium ions (H$_3$O$^+$).
*   **Conclusion**: The solution is acidic.
    *   pH $< 7$.

4. C6_6H5_5COONH4_4 (aq)

* Parent Acid and Base: C6_6H5_5COONH4_4 is formed from a weak acid, benzoic acid (C6_6H5_5COOH), and a weak base, ammonia (NH3_3).

* Hydrolysis: Both ions hydrolyze.

* The C6_6H5_5COO−^- ion (conjugate base of C6_6H5_5COOH) hydrolyzes to produce OH−^-:

C6H5COO−(aq)+H2O(l)⇌C6H5COOH(aq)+OH−(aq)\text{C}_6\text{H}_5\text{COO}^- (aq) + \text{H}_2\text{O} (l) \rightleftharpoons \text{C}_6\text{H}_5\text{COOH} (aq) + \text{OH}^- (aq)

    *   The NH$_4^+$ ion (conjugate acid of NH$_3$) hydrolyzes to produce H$_3$O$^+$: …

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