The expression of degree of hydrolysis of strong conjugate base such as acetate ion is given by the expressionwhere Ka is the ionization constant of conjugate acid of the base.

# The expression of degree of hydrolysis of strong conjugate base such as acetate ion is given by the expressionwhere Ka is the ionization constant of conjugate acid of the base.

1. A

$\alpha =\sqrt{{K}_{\mathrm{w}}{K}_{\mathrm{a}}/c}$

2. B

$\alpha =\sqrt{{K}_{w}/{K}_{a}c}$

3. C

$\alpha =\sqrt{{K}_{\mathrm{w}}c/{K}_{\mathrm{a}}}$

4. D

$\alpha =\sqrt{{K}_{\mathrm{a}}c/{K}_{\mathrm{w}}}$

Register to Get Free Mock Test and Study Material

+91

Live ClassesRecorded ClassesTest SeriesSelf Learning

Verify OTP Code (required)

### Solution:

${K}_{\mathrm{b}}=\frac{\left[\mathrm{HAc}\right]\left[{\mathrm{OH}}^{-}\right]}{\left[{\mathrm{Ac}}^{-}\right]}=\frac{\left(c\alpha \right)\left(c\alpha \right)}{c\left(1-\alpha \right)}=\frac{c{\alpha }^{2}}{1-\alpha }$

AssumingBut ${K}_{\mathrm{b}}={K}_{w}/{K}_{\mathrm{a}}$ where ${\mathrm{K}}_{\mathrm{a}}$ is the ionization constant of acetic acid .Hence $\alpha =\sqrt{{K}_{\mathrm{w}}/{K}_{\mathrm{a}}c}$.

## Related content

 Distance Speed Time Formula Refractive Index Formula Mass Formula Electric Current Formula Ohm’s Law Formula Wavelength Formula Electric Power Formula Resistivity Formula Weight Formula Linear Momentum Formula  