Relation Between $$K_a$$ and $$K_b$$ for Conjugate Pairs

Rarely Tested

$$K_a \times K_b = K_w = 10^{-14} \quad (\text{at } 298\text{ K})$$

$$\text{p}K_a + \text{p}K_b = \text{p}K_w = 14$$

Concept: $$\text{Interlinks dissociation constants for a conjugate acid-base pair in aqueous medium.}$$

Notation:

  • $$\text{Notation: } K_a = \text{Acid dissociation constant}$$
  • $$\text{Notation: } K_b = \text{Base dissociation constant of conjugate base}$$
  • $$\text{Notation: } K_w = \text{Ionic product of water } (10^{-14} \text{ at } 298\text{ K})$$
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