Question

calculate ratio of degree of dissociation when 1 M acetic acid solution is diluted to 1/100 times

Answer 1

10 is the ratio no requirement of k as its canccelled out

Answer 2

Answer: The ratio of the degree of dissociation when 1 M acetic acid solution is diluted to 1/100 times is 10 : 1.

Explanation:

When concentration of acetic acid,c = 1 M

The degree of weak acid is given by:

$\alpha =\sqrt{\frac{K_a}{c}}$..(1)

When concentration of acetic acid,c' = $\frac{1 M}{100}$

$\alpha '=\sqrt{\frac{K_a}{c'}}$..(2)

Dividing (2) and (1)

$\frac{\alpha '}{\alpha }=\sqrt{\frac{\frac{K_a}{c'}}{\frac{K_a}{c}}}=\frac{10}{1}$

The ratio of the degree of dissociation when 1 M acetic acid solution is diluted to 1/100 times is 10 : 1.