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The degre of dissociation of weak electr...

The degre 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 sam.
For two monobasic acids `HA_(1)` and `HA_(2)` at the same concentration `alpha_(1)` and `alpha_(2)` are in ratio of 1:2. `K_(a1) = 2 xx 10^(-4)`. What will be `K_(a2)` ? `8 xx 10^(-4)`, `2 xx 10^(-4)`, `4 xx 10^(-4)`, `1 xx 10^(-4)`

A

`8 xx 10^(-4)`

B

`2 xx 10^(-4)`

C

`4 xx 10^(-4)`

D

`1 xx 10^(-4)`

Text Solution

Verified by Experts

The correct Answer is:
A
`(alpha_(1))/(alpha_(2)) = (1)/(2) = sqrt((K_(a1))/(K_(a_(2)))) rArr K_(a2) = 4K_(a1) = 8 xx 10^(-4)`
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Knowledge Check

  • The degre 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 sam. pH of 0.005 M HCOOH [K_(a) = 2 xx 10^(-4)] is equal to

    A
    3
    B
    2
    C
    4
    D
    5

  • The degre 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 sam. 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%`

  • If alpha= ""^(m)C_(2) then ""^(alpha)C_(2) is equal to

    A
    `""^(m+1)C_(4)`
    B
    `""^(m-1)C_(4)`
    C
    `3xx ""^(m+2)C_(4)`
    D
    `3xx ""^(m+1)C_(4)`

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