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Molar conductivity of 0.1 (M) solution o...

Molar conductivity of 0.1 (M) solution of a weak electrolyte is `"0.009 ohm"^(-1)."cm"^(-1).` Its molar conductivity at infinite dilution is `"260 ohm"^(-1)."cm"^(2)."mol"^(-1)`. What is the degree of dissociation of the electrolyte in the solution?

Text Solution

Verified by Experts

Molarity (M) `="0.1 mol.L"^(-1)`
`kappa ="0.009 ohm"^(-1)."cm"^(-1)`.
`"So, "Lambda_(m)=kappaxx(1000)/(M)=0.009xx(1000)/(0.1)="90 ohm"^(-1)."cm"^(2)."mol"^(-1)`
Thus, the degree of dissociation of the electrolyte in the solution,
`alpha=Lambda_(m)//Lambda_(m)^(@)=(90)/(260)=0.3461`
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