Given, `HF+H_(2)Ooverset(K_(a))rarrH_(3)O^(+)+F^(-)`
`F^(-)+H_(2)Ooverset(K_(b))rarrHF+OH^(-)`
Which relation is correct ?

Options

A. `K_(b)=K_(w)`
B. `K_(b)=1//K_(w)`
C. `K_(a)xxK_(b)=K_(w)`
D. `K_(a)//K_(b)=K_(w)`

Answer

C

Explanation

`K_(a)=([H_(3)O^(+)][F^(-)])/([HF][H_(2)O])` and `K_(b)=([HF][OH^(-)])/([F^(-)][H_(2)O])`
`:. K_(a)xxK_(b)= [H_(3)O^(+)][OH^(-)]=K_(w)`