First slide

Salt hydrolysis :

Question

The hydrolysis constant for ${ZnCl}_{2}$ will be

Easy

A

$K_{h} = \frac{K_{w}}{K_{h}}$
B

$K_{h} = \frac{K_{w}^{2}}{K_{b}}$
C

$K_{h} = \frac{K_{w}^{2}}{K_{b}^{2}}$
D

$K_{h} = \frac{K_{b}}{K_{w}^{2}}$
where $K_{b}$ is effective dissociation constant of base ${Zn}^{+ +}$

Solution

${Zn}^{+ +} + 2 H_{2} O ⇌ Zn {(OH)}_{2} + 2 H^{+}$
$∴ K_{h} = \frac{[Zn {(OH)}_{2}] {[H^{+}]}^{2}}{[{Zn}^{+ +}]}$ …. (1)
$Zn {(OH)}_{2} ⇌ {Zn}^{+ +} + 2 {OH}^{-}$
$∴ K_{b} = \frac{[{Zn}^{+ +}] {[{OH}^{-}]}^{2}}{[Zn {(OH)}_{2}]}, K_{w} = [H^{+}] [{OH}^{-}]$
$∴ \frac{K_{w}^{2}}{K_{b}} = K_{h}$

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