Which of the following electrolytes has the same value of van't Hoff factor (i)is that of `Al_(2)(SO_(4))_(3)`(if all are `100%`ionised?

Options

A. `K_(4)[Fe(CN)_(6)]`
B. `K_SO_(4)`
C. `K_[Fe(CN)_(6)]`
D. `Al(NO_(3))_(3)`

Answer

1

Explanation

`Al_(2)(SO_(4))_(3)overset(H_(2)O)(rarr) 2Al^(3+)(aq)+3SO_(4)^(2-)(aq)`
`i=2+3=5`
`K_(4)[Fe(CN)_(6)]overset(H_(2)O)(rarr)4K_((aq))^(+)+[Fe(CN)_(6)]^(2-)(aq)`
`i=4+1=5`
`K_(2)SO_(4)overset(H_(2)O)(rarr)2K^(+)(aq)+SO_(4)^(2-)(aq)`
`i=2+1=3`
`K_(3)[Fe(CN_(6))]overset(H_(2)O)(rarr)3K^(+)(aq)+[Fe(CN)_(6)]^(3-)(aq)`
`i=3+1=4`
`Al(NO_(3))_(3)overset(H_(2)O)(rarr)Al^(3+)(aq)+3 NO_(3)^(-)(aq)`
`i=1+3=4`