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Kohlrausch Law

The ionic con...

Question

The ionic conductances of $A l^{3 +}$ and $S O_{3}^{2 -}$ ions at infinite dilution are $x$ and $y o h m^{- 1} c m^{2} m o l^{- 1}$ respectively. If Kohlrausch's law is valid, then molar conductance of aluminium sulphate at infinite dilution will be____________.

A

3 x + 2 y

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B

3 y + 2 x

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C

2 x + 2 y

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D

3 x + 3 y

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Solution

The correct option is B $3 y + 2 x$
$A l^{3 +} + S O_{4}^{2 -} ⟶ A l_{2} {(S O_{4})}_{3}$
$∴$ According to Kohlrausch's law, nuclear conductance of $A l_{2} (S O_{4})_{3}$ is,
$2 x + 3 y$ (as $2 A l^{2 +}$ ions and $3 (S O_{4})^{2}$ ions)

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