`3.24gHg(NO_(3))_(2)`(molecules mass`324`)dissolved in `1000` g of water constitutes a solution having a freezing point `-0.0558^(@)C` while `21.68g` of `HgCl_(2)` (Molecular mass`271` in `2000g` of water constitutes a solution with a freezing point of `-0.0744^(@)C`.The `K_(f)` of water is `1.86K Kg mol^(1)`.About the state of ionisation of the two solids in water can be inferred that.

Options

A. `Hg(NO_(3))_(2)`is fully ionised but `HgCl_(2)`is fully unionised
B. `Hg(NO_(3))_(2) and HgCl_(2)`both are completely ionised
C. `Hg(NO_(3))_(2)`is fully unionised but `HgCl_(2)`is fully ionised
D. Both`Hg(NO_(3))_(2)and HgCl_(2)` are completely unionised

Answer

A

Explanation

`0.0558=ixx(3.24)/(324)xx1.86`
`i=3(100% "ionised")`
`0.0744=ixx(21.68)/(271)xx1.86`
`i=1 ("unionised")`