A) \[{{K}_{b}}={{K}_{w}}\]
B) \[{{K}_{b}}=\frac{1}{{{K}_{w}}}\]
C) \[{{K}_{a}}\times {{K}_{b}}={{K}_{w}}\]
D) \[\frac{{{K}_{a}}}{{{K}_{b}}}={{K}_{w}}\]
Correct Answer: C
Solution :
\[{{K}_{a}}=\frac{[{{H}_{3}}{{O}^{+}}][{{F}^{-}}]}{[HF]\,[{{H}_{2}}O]}\] and \[{{K}_{b}}=\frac{[HF][O{{H}^{-}}]}{[{{F}^{-}}]\,[{{H}_{2}}O]}\] Therefore, \[{{K}_{a}}\times {{K}_{b}}=[{{H}_{3}}{{O}^{+}}][O{{H}^{-}}]={{K}_{w}}\].You need to login to perform this action.
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