Chemistry · EQUILIBRIUM
हिन्दीGiven below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): At \( 298\text{ K} \), the sum of \( \text{p}K_a \) and \( \text{p}K_b \) for any conjugate acid-base pair is equal to 14. Reason (R): The product of the acid dissociation constant (\( K_a \)) and the base dissociation constant (\( K_b \)) of a conjugate pair equals the ionic product of water (\( K_w \)). In the light of the above statements, choose the correct answer from the options given below:
Correct answer · Option 1
Both (A) and (R) are true and (R) is the correct explanation of (A).
Explanation
Since \( K_a \times K_b = K_w \), taking the negative logarithm gives \( \text{p}K_a + \text{p}K_b = \text{p}K_w = 14 \) at \( 298\text{ K} \). Thus, (R) correctly explains (A).