1.

For cationic hydrolysis, pH given by

Answer»

`PH=(1)/(2)pK_(w)+(1)/(2)pK_(a)+(1)/(2)log C`
`pH=(1)/(2)pK_(w)-(1)/(2)pK_(a)-(1)/(2)log C`
`pH=(1)/(2)pK_(w)+(1)/(2)pK_(a)-(1)/(2)pK_(b)`
`pH=(1)/(2)pK_(w)+(1)/(2)pK_(b)+(1)/(2)log C`

Solution :`B^(+)+H_(2)O hArr BOH+H^(+)`
`[H^(+)] = ((K_(w).C)/(K_(b)))^(1//2)`
`pH= - log[H^(+)]= -"log" ((K_(w).C)/(K_(b)))^(1//2)`
`= (-1)/(2)[log K_(w)-logK_(b)+log C]`
`= (1)/(2)[pK_(w)-pK_(b)-logC]`


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