`2 L ` of `1 molal` solution of a complex salt `CrCl_(3).6H_(2)O (Mw=266.5)` shows an osmotic pressure of `98.52 atm`. The solution is now treated with `1 L` of `6 M AgNO_(3)`, which of the following are correct?

Options

A. Weight of `AgCl` precipitated is `861 g`.
B. The clear solution will show an osmotic pressure of `98.52 atm`.
C. The clear solution will show an osmotic pressure of `65.68 atm`.
D. `2 mol` of `[Cr(H_(2)O)_(6)] (NO_(3))_(3)` will be present in the solution.

Answer

A, C, D

Explanation

`CrCl_(3).6H_(2)O`
`pi = CRT (1-alpha +xalpha + yalpha)`
`98.52=1 xx 0.0821 xx 300 xx (x + y)(alpha =1)`
`:. (x+y)=4`
`:. CrCl_(3).6H_(2)O` can be written as

3 mol of `AgNO_(3)` will react with 1 mol of `Cr(H_(2)O)_(6)Cl_(3)`.
`Cr(H_(2)O)_(6)Cl_(3) + 3AgNO_(3) rarr [Cr(H_(2)O)_6] (NO_(3))_(3) + 3AgCl`
`{:("moles"2xx1=2,1xx6=6,0,0),(0,0,2,6):}`
`:.` Moles of AgCl formed =6
Weight of AgCl formed= `6xx143.5 = 861 g`
`[Cr(H_(2)O)_(6)] (NO_(3)_(3) =2/3`
`pi= CRT xx (1 + 3 alpha) =2/3 xx 0.0821 xx 300 xx 4 =65.68` atm