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Q.

Which one of the following electrolytes has the same value of van't Hoff factor (i) as that of ${Al}_{2} {({SO}_{4})}_{3}$ (if all are 100 % ionised)?

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a

$Al {({NO}_{3})}_{3}$

b

$K_{4} [Fe (CN)_{6}]$

c

$K_{2} {SO}_{4}$

d

$K_{3} [Fe (CN)_{6}]$

answer is B.

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Detailed Solution

${Al}_{2} {({SO}_{4})}_{3} ⟶ 2 {Al}^{3 +} + 3 {SO}_{4}^{2 -}, i = 5 \begin{array}{l} Al {({NO}_{3})}_{3} ⟶ {Al}^{3 +} + 3 {NO}_{3}^{-}, i = 4 \\ K_{4} [Fe (CN)_{6}] ⟶ 4 K^{+} + {[Fe (CN)_{6}]}^{4 -}, i = 5 \\ K_{2} {SO}_{4} ⟶ 2 K^{+} + {SO}_{4}^{2 -}, i = 3 \\ K_{3} [Fe (CN)_{6}] ⟶ 3 K^{+} + {[Fe (CN)_{6}]}^{3 -}, i = 4 \end{array}$

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Which one of the following electrolytes has the same value of van't Hoff factor (i) as that of Al2SO43 (if all are 100 % ionised)?