`1.2575 g` sample of `[Cr(NH_(3))_(6)]SO_(4)Cl(Mw=251.5)` is dissolved to prepare `250 mL` solution showing an osmotic pressure of `1.478 atm` of `Hg` at `27^(@)C`. Which of the following statements is/are correct about this solution?

Options

A. Each molecule funishes three ions in solution.
B. The Van't Hoff factor is =`3`.
C. The equilibrium molarity of `[Cr(NH_(3))_(6)]SO_(4)Cl=0`.
D. The equilibrium molarity of `[Cr(NH_(3))_(6)]^(3+)=0.02 M`.

Answer

A, B, C, D

Explanation

Molarity= `(1.2575 xx 1000)/(251.5 xx 250) =0.02 M`,`pi=CRT`
`:.pi _(obs)=0.02 xx 0.0821 xx 300=0.4926` atm
`=374.38 mm`
`pi_(obs)/pi_(cal)=i=(1.478 xx 760)/(374.38)=3`
`:, alpha = (i-1)/(n-1)` and `alpha=1`,
`:. N=3`