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The dissociation constant of n-butyric a...

The dissociation constant of n-butyric acid is `1.6 xx 10^(-5)` and the molar conductivity at infinite dilution is `380 xx 10^(-4) Sm^(2) mol^(-1)`. The specific conductance of the `0.01M` acid solution is

A

`1.52 xx 10^(-5) Sm^(-1)`

B

`1.52 xx 10^(-2) Sm^(-1)`

C

`1.52 xx 10^(-3) Sm^(-1)`

D

none

Text Solution

Verified by Experts

The correct Answer is:
B
`k_(a) = 1.69 xx 10^(-5) = C alpha^(2) = 0.01 alpha^(2) = alpha = 0.04`
`alpha =(lambda_(M))/(lambda_(M)^(oo) rArr lambda_(M) = 0.04 xx 380`
`lambda_(M) = 15.2 S cm^(2) "mole"^(-1) lambda_(M) = (k xx 1000)/(M)`
`15.2 = (k xx 1000)/(0.01)`
`k = 1.52 xx 10^(-4) S cm^(-1)`
`k = 1.52 xx 10^(-2) S cm^(-1)`
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