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Ka and Kb Relationship MCQ - Practice Questions with Answers

Edited By admin | Updated on Sep 25, 2023 25:23 PM | #NEET

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Consider the following reaction, 

ethanol $\xrightarrow{\mathrm{PBr}} \mathrm{X} \xrightarrow{\text { alc. } \mathrm{KOH}} \mathrm{Y} \xrightarrow[\text { (ii) } \mathrm{H}_2 \mathrm{O}, \text { heat }]{\text { (i) } \mathrm{H}_2 \mathrm{SO}_4 \text { room temperature }} \mathrm{Z}$

the product Z is:

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Concepts Covered - 1

Relation Between Ka, Kb and Kw for Conjugate Pair

The relation between Ka,Kb and Kw can be understand by the following reaction.
\mathrm{NH_{3}\: +\: H_{2}O\: \rightleftharpoons \: NH_{4}^{+}\: +\: OH^{-}}
Base                      Conjugate acid

The equilibrium constant Kb for base NH3 is given as:
\mathrm{K_{b}\: =\: \frac{[NH_{4}^{+}][OH^{-}]}{NH_{3}}}
Again, the reaction is:
\mathrm{NH_{4}^{+}\: +\: H_{2}O\: \rightleftharpoons \: NH_{3}\: +\: H_{3}O^{+}}

The equilibrium constant Ka for conjugate acid NH4+ is given as:
\mathrm{K_{a}\: =\: \frac{[NH_{3}][H_{3}O^{+}]}{NH_{4}^{+}}}

Thus, Ka x Kb = [H3O+][OH-] = Kw
Thus, Ka ∝ 1/Kb at a given temperature

Therefore, if Ka of acid increases, then Kb of the conjugate base decreases. In other words, the conjugate base of strong acid is a weak base and vice-versa.

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Relation Between Ka, Kb and Kw for Conjugate Pair

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Relation Between Ka, Kb and Kw for Conjugate Pair

Chemistry Part I Textbook for Class XI

Page No. : 222

Line : 22

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