Question

Calculate the ratio of degree of dissociation (alpha2/alpha1) when 1 M acetic acid solution is diluted 100 times

Answer 1

plz go through the following attatchment:

Answer 2

Answer: The ratio of degree of dissociation is 1:10.

Explanation:

$HAc\rightleftharpoons Ac^-+H^+$

Acetic acid is a weak acid,so its degree of dissociation is given by expression:

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

When the  when 1 M acetic acid solution is diluted 100 times then the thenew concentration becomes c'=100 × 1 M = 100 M

$\alpha '=\sqrt{\frac{K_a}{c}}=\sqrt{\frac{K_a}{100 M}}$..(2)

Dividing (2)and (1).

$\frac{\alpha '}{\alpha }=\sqrt{\frac{1 M}{100 M}}=\frac{1}{10}$

The ratio of degree of dissociation is 1:10.