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The molar ionic conductances of Al(3+) ...

The molar ionic conductances of `Al(3+) and SO_(5)^(2-)` ions in an infinitely dilute solution of `Al_(2)(SO_(4))_(3)` are 189 and `"160 ohm"^(-1)."cm"^(2)."mol"^(-1),` respectively. Determine `Lambda^(@) and Lambda_(m)^(@)` of `Al_(2)(SO_(4))_(3)` solution.

Text Solution

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`Lambda_(m)^(@)[Al_(2)(SO_(4))_(3)]=2lambda_(Al^(3+))^(@)+3lambda_(SO_(4)^(2-))^(@)`
`=(2xx189+3xx160)="858 ohm"^(-1)."cm"^(2)."mol"^(-1)`
Total valency (Z) of cations (or anions) per formula unit of `Al_(2)(SO_(4))_(3)=6`.
Total valency (Z) of cations (or anions) per formula unit of `Al_(2)(SO_(4))_(3)=6.`
Using the relation `Lambda_(m)^(@)=ZxxLambda^(@)`, we have,
`Lambda^(@)[Al_(2)(SO_(4))_(3)]=(1)/(6)xxLambda_(m)^(@)`
`="143 ohm"^(-1)."cm"^(2)."g-equiv"^(-1)`
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