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  4. The ionic conductances of Al3+ and SO42- 2- at infinite dilution are x and y ohm-1 cm2 mol-1 respectively. If Kohlrausch’s law is valid, then molar conductance of aluminium sulphate at infinite dilution will be

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Q. The ionic conductances of $Al^{3+}$ and $SO_{4}^{2-}$ 2- at infinite dilution are x and y $ohm^{-1}$ $cm^{2} mol^{-1}$ respectively. If Kohlrausch’s law is valid, then molar conductance of aluminium sulphate at infinite dilution will be

Electrochemistry

Solution:

$Al_{2} \left(SO_{4}\right)_{3} \, {\rightleftharpoons} \, 2Al^{3+}+3SO_{4}^{2-}$
$\Lambda_{m}^{ο} Al_{2} \left(so_{4}\right)_{3} =2 \Lambda^{0} _{Al^{3+}} +3\Lambda^{0}_{so_4^{2-}}$
$\Lambda^{0}_{m} Al_{2} \left(so_{4}\right)_{3} =2x+3y$