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Q. Molar conductivities $\left(\Lambda_{ m }^{\circ}\right)$ at infinite dilution of $NaCl , HCl$ and $CH _{3} COONa$ are $126.4,425.9$ and $91.0\, S\, cm ^{2} mol ^{-1}$ respectively. $\Lambda_{ m }^{\circ}$ for $CH _{3} COOH$ will be

AIPMTAIPMT 1997Electrochemistry

Solution:

$CH _{3} COONa + HCl \longrightarrow NaCl + CH _{3} COOH$
$\Lambda_{ m \left( CH _{3} COOH \right)}^{\circ}=\Lambda_{ m \left( CH _{3} COONa \right)}^{\circ}+\Lambda_{ m ( HCl )}^{\circ}-\Lambda_{ m ( NaCl )}^{\circ}$
$\Lambda_{ m \left( CH _{3} COOH \right)}^{\circ} =(91.0+425.9-126.4) S\, cm ^{2} mol ^{-1}$
$\Lambda_{ m \left( CH _{3} COOH \right)}^{\circ} =390.5\, S\, cm ^{2} mol ^{-1}$