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The degree of dissociation of weak elect...

The degree of dissociation of weak electrolyte is inversely proportional to the same square root of concentration. What is called Ostwald's dilution law.
`alpha = sqrt((K_(a))/(c ))` As the temperature increases, degree of dissociation will increase.
`(alpha_(1))/(alpha_(2)) = sqrt((K_(a1))/(K_(a2)))` if concentration is same. `(alpha_(1))/(alpha_(2)) = sqrt((c_(2))/(c_(1)))` if acid is same.
0.01 M `CH_(3)COOH` has 4.24% degree of dissociation, the degree of dissociation of 0.1 M `CH_(3)COOH` will be

A

`1.33%`

B

`4.24%`

C

`5.24%`

D

`0.33%`

Text Solution

Verified by Experts

The correct Answer is:
A

Use : `(alpha_(1))/(alpha_(2)) = sqrt((C_(2))/(C_(1))) rArr (4.24)/(alpha_(2)) = sqrt((0.1)/(0.01)) rArr alpha_(2) = (4.24)/(sqrt(10))% = 1.33%`
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