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Question

Which one of the following electrolytes has the same value of van't Hoff factor (i) as that of K4Fe(CN)6 (if all are 100% ionised)?

A
Al2(SO4)3
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B
NaCl
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C
Al(NO3)3
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D
Na2SO4
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Solution

The correct option is A Al2(SO4)3
K4[Fe(CN)6] dissociates as:
K4[Fe(CN)6]Soln4K++1 [Fe(CN)6]4
Van't Hoff factor:
i=5
Option (a):
Al2(SO4)3Soln2Al+3+3SO24
Van't Hoff factor :
i=5

Option (b) :
NaClSolnNa++Cl
Van't Hoff factor :
i=2
Option (c) :
Al(NO3)3Soln1Al+3+3NO3
Van't Hoff factor :
i=4
Option (d) :
Na2SO4Soln2Na++1SO24
Van't Hoff factor :
i=3
Only option (a) i.e. Al2(SO4)3 has the same value of Van't Hoff factor as that of K4Fe(CN)6
Option (a) is correct.

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