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Derive a relationship between dissociati...

Derive a relationship between dissociation constant `K_(a)` and molar conductivity `wedge_(m)`.

Text Solution

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According to Ostwald dilution Law,
`" "K_(a)=(alpha^(2)C)/((1-alpha))" ...(1)"`
Substitute a value in the above expression (1)
`" "K_(a)=(wedge_(m)^(2)C)/(wedge_(m)^(2)(1-wedge_(m)/(wedge_(m)^(@))))`
`" "K_(a)=(wedge_(m)^(2)C)/(wedge_(m)^(2)(wedge_(m)^(@)-wedge_(m))/wedge_(m)^(@))`
`rArr K_(a)=(wedge_(m)^(2)C)/(wedge_(m)^(@)(wedge_(m)^(@)-wedge_(m)))`.
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