1.

Given {:(HF+H_(2)O overset(K_(a))rarrH_(3)O^(+) + F^(-)),(F^(-) + H_(2)O overset(K_(b))rarr HF + OH^(-)):} Which of the following reaction is correct

Answer»

`K_(b) = K_(w)`
`K_(b) = (1)/(K_(w))`
`K_(a) XX K_(b) = K_(w)`
`(K_(a))/(K_(b)) = K_(w)`

SOLUTION :`K_(a) = ([H_(3)O^(+)][F^(-)])/([HF])` .... (i)
`K_(b) = ([HF][OH^(-)])/([F^(-)])`
From (i) and (ii), `K_(a)K_(b) = [H_(3)O^(+)][OH^(-)] = K_(w)`
(IONIC product of WATER).


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