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The conductivity of 0.001 mol solution o...

The conductivity of 0.001 mol solution of `CH_(3)COOH` is `3.905xx10^(-5)" S.cm"^(-1)`. Calculate its molar conductivity and degree of dissociation `(alpha)`. `["Given: "lambda^(@)(H^(+))="349.6 S.cm"^(2)."mol"^(-1)` and `lambda^(@)(CH_(3)COO^(-))="40.9 S.cm"^(2)."mol"^(-1)]`

Text Solution

Verified by Experts

Molar conductivity,
`Lambda_(m)=kappa xx(1000)/(M)=3.905xx10^(-5)xx(1000)/(0.001)`
`="39.05 S.cm"^(2)."mol"^(-1)`
`Lambda_(m)^(@)(CH_(2)COOH)=lambda^(@)(H^(+))+lambda^(@)(CH_(3)COO^(-))`
`=(349.6+40.9)"S.cm"^(2)."mol"^(-1)="390.5 S.cm"^(2)."mol"^(-1)`
`"Degree of dissociation of "CH_(3)COOH`,
`alpha=(Lambda_(m))/(Lambda_(m)^(@))=(39.05)/(390.5)=0.1`
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