Determine the degree of hydrolysis and hydrolysis constant of aniline hydrochloride in `M//32` solution of salt at `298K` from the following cell data at `298K`.
`Pt|H_(2)(1atm)|H^(+) (1M)||M//32 C_(6)H_(5)NH_(3)CI |H_(2)(1atm)|Pt, E_(cell) = -0.188V`.

Answer

`h = 2.12 xx 10^(-2), K_(h) = 1.43 xx 10^(-5)M`

Explanation

`E_(cell) =- 0.0591 log.([H^(+)]_(Anode))/([H^(+)]_(Cathode))`
`-0.188 =- 0.0591 log.(1)/([H^(+)]_(Cathode))`
`pH = 3.18 = 7 -(1)/(2) P^(Kb) - (1)/(2) logC`
`3.18 = 7 -(1)/(2) P^(Kb) - (1)/(2)log(1//32)`
`K_(b) = 7.15 xx 10^(-10)`
`K_(b) = (k_(w))/(k_(b)) = (10^(-14))/(7.15 xx 10^(-10)) = 1.39 xx 10^(-5)`
`h = sqrt((K_(h))/(C)) = sqrt((1.39 xx 10^(-5))/(1//31)) = 2.1 xx 10^(-2)`