The ratio of the value of any colligative property for a `K_(4)[Fe(CN)_(6)]` solution (assuming complete dissociation) to that of the corresponding property for a sucrose solution is

Options

A. 6
B. 11
C. 4
D. 5

Answer

4

Explanation

It is equal to the ratio of their van't hoff factors.
`K_(4)[Fe(CN)_(6)]overset(H_(2)O)(rarr)4K^(+)(aq)+[Fe(CN)_(6)^(4-)](aq)`
`i=1`
Sucrose `overset(H_(2)O)(rarr)` Neither association nor dissociation
`i=1`
Thus
`((i)_(K_(4)[Fe(CN)_(6)]))/((i)_("sucrose"))=5`