Q. Of the following $0.10m$ aqueous solutions, which one will exhibit the largest freezing point depression?

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A

$K_{2}\text{S}\text{O}_{4}$

B

KCl

C

$\text{A}\left(\text{l}\right)_{2}\left(\right.\text{S}\left(\text{O}\right)_{4}\left(\left.\right)_{3}$

D

$C_{6}H_{\text{12}}O_{6}$

Solution:

As molar concentration is same so only deciding factor is van't Hoff factor
Depression in freezing point $ \propto $ van't Hoff's factor for $\text{A}\left(\text{l}\right)_{2}\left(\right.\text{S}\left(\text{O}\right)_{4}\left(\left.\right)_{3} \rightarrow i=5$
$K_{2}\text{S}\text{O}_{4} \rightarrow i=3$
$\text{KCl} \rightarrow i=2$
$C_{6}H_{\text{12}}O_{6} \rightarrow i=1$

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