Correct Answer - B
`HA + NaOH rarr NaA + H_(2)O` milli moles of salt
`NaA` or `A^(-) = 40 xx 0.1 = 4`
`{:("Now",A^(-)+,H^(+)rarrHA),("Initial milli moles",4,2),("Final milli moles",2,-2):}`
Acidic buffer solution is formed and `[A^(-)] = [HA]`
`pH = pK_(a) + "log" ([A^(-)])/([HA]) rArr pK_(a) = 5`
Now `HA + NaOH rarr NaA + H_(2)O`, hydrolysis of
`A^(-)` will takes place
`[NaA] = ("milli moles of acid")/("total volume") `
`= (20 xx 0.2)/(20 + 20) = 0.1`
`pH = 1/2 (pK_(w) + pK_(a) + "log" C) = (1)/(2) [14+5-1] = 9`