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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Start your 14-day free trial to unlock the full solution →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
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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:
- 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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