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NCERT Exemplar · Q26

Q.Conjugate acid of a weak base is always stronger. What will be the decreasing order of basic strength of the following conjugate bases?
OH^-, RO^-, CH3COO^-, Cl^-

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The key idea is that the stronger the acid, the weaker its conjugate base. By comparing the acid strengths of the parent acids (H₂O, ROH, CH₃COOH, HCl), we can rank the conjugate bases in decreasing order of basic strength: RO⁻ > OH⁻ > CH₃COO⁻ > Cl⁻.

Concept and Intuition

The Brønsted-Lowry theory defines an acid as a proton donor and a base as a proton acceptor. When an acid donates a proton, it forms its conjugate base. The strength of an acid is inversely related to the strength of its conjugate base: a strong acid has a weak conjugate base, and a weak acid has a strong conjugate base.

Here, we are given four conjugate bases: OH⁻, RO⁻, CH₃COO⁻, and Cl⁻. To rank their basic strength, we need to consider the strength of their parent acids. The parent acids are:

  • OH⁻ comes from H₂O (water)
  • RO⁻ comes from ROH (alcohol)
  • CH₃COO⁻ comes from CH₃COOH (acetic acid)
  • Cl⁻ comes from HCl (hydrochloric acid)

The stronger the parent acid, the weaker the conjugate base. So, we need to compare the acid strengths of H₂O, ROH, CH₃COOH, and HCl.

Step-by-Step Reasoning

  1. Identify the parent acids and their relative strengths.

    The four parent acids are:

    • HCl: a strong acid (completely dissociates in water)
    • CH₃COOH: a weak acid (partial dissociation, Ka ≈ 1.8 × 10⁻⁵)
    • H₂O: a very weak acid (Ka ≈ 1.0 × 10⁻¹⁴)
    • ROH (alcohol): an even weaker acid than water (Ka ≈ 10⁻¹⁶ to 10⁻¹⁸)

    So, the order of acid strength is:

HCl>CH3COOH>H2O>ROH\text{HCl} > \text{CH}_3\text{COOH} > \text{H}_2\text{O} > \text{ROH}

  1. Apply the inverse relationship between acid strength and conjugate base strength. Since a stronger acid gives a weaker conjugate base, the order of basic strength of the conjugate bases will be the reverse of the acid strength order. Therefore:
    • The weakest acid (ROH) gives the strongest conjugate base (RO⁻).
    • The next weakest acid (H₂O) gives the next strongest conjugate base (OH⁻). …

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