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The conductivity of 0.001028 mol L ^(-1)...

The conductivity of `0.001028 mol L ^(-1)` acetic acid is `4.95 xx10^(-5)S cm ^(-1).` Calculate its dissociation constant if `^^(m)^(0)` for acetic acid id `390.5 S cm ^(2)mol ^(-1).`

Text Solution

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`^^_(m)=k/c=(4.9510^(-5) S cm^(-1))/(0.001028 mol L ^(-1))xx(1000cm ^(3))/(L)`
`alpha =(^^_(m))/(^^_(m)^(0))=(48.15 S cm ^(2) mol ^(-1))/(390.5 S cm ^(2) mol ^(-1))=0.1233`
`k=(c alpha^(2))/( (1-alpha))=(0.001020 mol L ^(-1)xx(0.1233)^(2))/(1-0.1233)=1.78xx10^(-5) mol L ^(-1)`
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