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

Options

A. `1.33%`
B. `4.24%`
C. `5.24%`
D. `0.33%`

Answer

A

Explanation

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 %`