The conductivity of 0.01 `mol//dm^(3)` aqueous acetic acid at 300 K is `19.5 xx 10^(-5) ohm^(-1) cm^(-1)` and the limiting molar conductivity of acetic acid at the same temperature is `390 ohm^(-1) cm^(2) mol^(-1)`. The degree of dissociattion of acetic acid is :

Options

A. `0.5`
B. `0.05`
C. `5 xx 10^(-3)`
D. `5 xx 10^(-7)`

Answer

B

Explanation

`Lambda_(m) = k xx (1000)/("Molarity") = 19.5 xx 10^(-5) xx (1000)/(0.1) = 19.5` ,
`alpha = (19.5)/(390) = 0.05`.