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1.4275 g sample of [Cr(NH3)6]SO4Cl (mol....

1.4275 g sample of `[Cr(NH_3)_6]SO_4Cl` (mol. Wt. =285.5 ) is dissolved to prepare 250 mL solution showing an osmotic pressure of 1.478 atm at `27^@C`. Which of the following statements are correct about this solution ?
(I)Each molecule furnishes three ions in solution
(ii)The van't Hoff factor is 3.
(iii)Equilibrium molarity of `[Cr(NH_3)_6]SO_4Cl`=0
(iv)Equilibrium molarity of `[Cr(NH_3)_6]^(3+)` =0.02 M

A

I and III only

B

II and IV only

C

I,II and IV only

D

all of these

Text Solution

Verified by Experts

The correct Answer is:
D

Molarity =`(1.4275xx1000)/(285.5xx250)=0.02 M , pi=CRT`
`therefore pi_"cal"=0.02xx0.0821xx300`=0.4926 atm
`pi_"obs"/pi_"cal"=i=1.478/0.4926=3`
`because alpha=(i-1)/(n-1) rArr alpha=1 (because n=3)`
`{:(Also,[Cr(NH_3)_6]SO_4.Cl, hArr , [Cr(NH_3)_6]^(3+)+,SO_4^(2-)+,Cl^(-)),(,0.02 M , ,0,0,0),(Eq.conc,0,,0.02 M,0.02M,0.02M):}`
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