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At infinite dilution, molar conductiviti...

At infinite dilution, molar conductivities of HCl, NaCl and `CH_(3)COONa` solution are 426.2, 126.5 and 91.0`" ohm"^(-1)."cm"^(2)."mol"^(-1)` respectively. On the basic of these values, determine the molar conductivity of `CH_(3)COOH` solution at infinite dilution.

Text Solution

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According to Kohlrausch's law,
`Lambda_(m)^(@)(CH_(3)COOH)=lambda_(CH_(3)COO^(-))^(@)+lambda_(H^(+))^(@)`
`"or, "Lambda_(m)^(@)(CH_(3)COOH)`
`=(lambda_(CH_(3)COO^(-))^(@)+lambda_(Na^(+))^(@))-(lambda_(Na^(+))^(@)+lambda_(Cl^(-))^(@))+(lambda_(H^(+))^(@)+lambda_(Cl^(-))^(@))`
`=Lambda_(m)^(@)(CH_(3)COONa)-Lambda_(m)^(@)(NaCl)+Lambda(m)^(@)(HCl)`
`therefore" "Lambda_(m)^(@)(CH_(3)COOH)=(91.0-126.5+426.2)`
`="390.7 ohm"^(-1)."cm"^(2)."mol"^(-1)`
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